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Review

Fundamental Mechanisms for Irradiation-Hardening and Embrittlement: A Review

Department of Mechanics, School of Civil Engineering, Central South University, Changsha 410075, China
Metals 2019, 9(10), 1132; https://doi.org/10.3390/met9101132
Submission received: 7 October 2019 / Revised: 16 October 2019 / Accepted: 17 October 2019 / Published: 22 October 2019

Abstract

:
It has long been recognized that exposure to irradiation environments could dramatically degrade the mechanical properties of nuclear structural materials, i.e., irradiation-hardening and embrittlement. With the development of numerical simulation capability and advanced experimental equipment, the mysterious veil covering the fundamental mechanisms of irradiation-hardening and embrittlement has been gradually unveiled in recent years. This review intends to offer an overview of the fundamental mechanisms in this field at moderate irradiation conditions. After a general introduction of the phenomena of irradiation-hardening and embrittlement, the formation of irradiation-induced defects is discussed, covering the influence of both irradiation conditions and material properties. Then, the dislocation-defect interaction is addressed, which summarizes the interaction process and strength for various defect types and testing conditions. Moreover, the evolution mechanisms of defects and dislocations are focused on, involving the annihilation of irradiation defects, formation of defect-free channels, and generation of microvoids and cracks. Finally, this review closes with the current comprehension of irradiation-hardening and embrittlement, and aims to help design next-generation irradiation-resistant materials.

1. Introduction

Over recent decades, irradiation-hardening and embrittlement have been widely observed in nuclear structural materials with different crystalline structures [1,2,3,4], e.g., face-centered cubic (FCC) [5,6,7,8], body-centered cubic (BCC) [9,10,11] and hexagonal close-packed (HCP) [12,13,14,15] materials. Compared with their unirradiated counterparts, the yield stress or hardness of irradiated materials tends to increase with the irradiation dose (see Figure 1a,b for instance) until the density of irradiation-induced defects gets saturated. However, irradiation embrittlement, characterized by the decrease of elongation, reduction of fracture toughness and increase of the ductile to brittle transition temperature (DBTT) (see Figure 1c,d for example), originates from the effect of irradiation defects on the original failure mode of unirradiated metals.
The study of irradiation-hardening and embrittlement is non-trivial as it intrinsically denotes a typical multi-scale problem [16,17,18,19]. Under exposure to high-energy particles, lattice atoms in the pristine materials are displaced from their original sites, which further interact with the surrounding matrix that result in the formation of the so-called collision cascade, and after its cooling, a number of point defects such as interstitials and vacancies are recombined. The remaining point defects aggregate to form defect clusters that are visible under transmission electron microscopy (TEM), e.g., dislocation loops (DLs), stacking fault tetrahedra (SFTs) and voids [20]. In this way, the impact of high-energy particles at atomic scale leads to the formation of irradiation defects at micro scale [21,22]. With plastic deformation, these micro-scale defects not only act as obstacles impeding the movement of sliding dislocations but also get annihilated with the evolution of dislocations, which macroscopically affect the mechanical behavior of irradiated metals [23,24]. With the development of numerical simulation capability and advanced experimental equipment, the mysterious veil covering the fundamental mechanisms of irradiation-hardening and embrittlement has been gradually unveiled in recent years.
Numerical simulation of the irradiation effect on mechanical degradation at various spatial and temporal scales needs a combination of different approaches, e.g., a b - i n i t i o calculations [27,28], molecular dynamics [29,30,31,32,33], dislocation dynamics [34,35,36], and finite element simulation [37,38,39,40], etc. At atomic scale, it has become convenient to study the fundamental mechanisms related to the generation and evolution of irradiation defects, as well as their interaction with dislocations and microstructures under different irradiation conditions, which can be compared with the experimental observations at macro scale for both irradiation-hardening and embrittlement [29,35,38]. For instance, it has been indicated by Bacon et al. [41,42] that the comprehensive study of the dislocation-defect interaction can be effectively investigated by atomistic simulations either in static (T = 0 K) or in dynamic (T > 0 K) conditions. Static modelling offers information that can be directly compared with the one obtained from the elasticity theory of dislocations, as it provides the equilibrium configuration at a given stress or strain. Dynamic simulation makes it available to address the temperature effect on the interaction and evolution mechanisms between dislocations and defects that depend on material properties, dislocation characters, morphologies of defects, and simulation conditions [43,44,45]. In addition, recent research progress indicates that the establishment of a multi-scale hierarchical method is critically important for the simulation of collision cascades, diffusion of point defects and their clustering, dislocation movement and dislocation-defect interaction, and mechanical testing of irradiated materials including uniaxial tension and nano-indentation [46,47,48,49].
On the other hand, experimental observation and test offer the most reliable data for the analysis of irradiation-hardening and embrittlement. The informed knowledge ranges from the formation of irradiation-induced defects at nano scale [50,51,52], to the generation of defect-free channels within the grain interiors and across adjacent grains at micro scale [53,54], to the stress-strain relationship, hardness-depth curve and fracture toughness-temperature relationship at macro scale [55,56,57,58,59]. It can also provide the information for the type, distribution and density of irradiation defects at the static state [60,61], and the dynamic interaction between dislocations and defects during the irradiation and loading process [62,63]. The observation of irradiation-induced defects by advanced experimental techniques, and their interaction with gliding dislocations detected by in situ experiments could tremendously enrich our understanding of the plastic deformation in irradiated materials. In addition, the measured density and size of irradiation defects can be adopted as the input parameters for numerical simulations and theoretical models [37,38,64].
Informed by the numerical simulations and experimental observations over recent decades, the fundamental mechanisms related to irradiation-hardening and embrittlement are reviewed in this work, which intends to offer an effective guidance for the design of irradiation-resistant materials. The outline of this review is organized as follows: in Section 2, the formation of irradiation-induced defects is discussed, which covers the influence of both irradiation conditions and material properties. In the following, the interaction between dislocations and irradiation defects is addressed, including the summary of both the interaction process and strength for different defect types and testing conditions. In Section 4, the evolution details of defects and dislocations are focused on, involving the annihilation of irradiation defects, formation of defect-free channels and generation of microvoids and cracks. Summary and outlook messages are collected in Section 5.

2. Formation of Irradiation-Induced Defects

Intrinsically speaking, both irradiation-hardening and embrittlement are affected by irradiation-induced defects. The formation and growth of irradiation-induced defects are a complex process that is determined by both irradiation conditions and material properties. The former includes the irradiation temperature, irradiation dose and flux, etc.; and the latter involves the crystalline structures, stacking fault energy, chemistry, and so on [65,66,67,68]. A summary of the dominant irradiation defects observed in different types of nuclear structural materials is listed in Table 1.

2.1. Irradiation Condition

Irradiation conditions evolve during the service process of nuclear structural materials in fission and fusion reactors. The experimental characterization of irradiation-induced defects, including their type, density and distribution, is possible only out of operation [83,84,85,86]. For instance, as one of the most promising first wall materials, tungsten should suffer from the impact of both high energetic neutrons and plasma ions, which results in the generation of irradiation defects and local stresses in the plasma facing components. With the increase of irradiation time, both the irradiation dose and plastically deformed region increase that affect the distribution and density of irradiation-induced defects. In the following, three dominant factors related to the irradiation condition are discussed, including the irradiation dose, irradiation temperature and irradiation particle.
(1) Irradiation dose. In general, the irradiation dose is characterized by the fluence of particles per unit area, which can be converted to dpa (NRT). With the increase of irradiation dose, a increasing number of point defects are generated during the collision cascades that finally result in the increase of the density of defect clusters until it gets saturated (as shown in Figure 2). At moderate to high irradiation dose, these defect clusters with a saturated density further aggregate to form voids at the nano scale. Compared to the evolution tendency of the cluster density, the size of irradiation-induced defects seems to be less sensitive to the irradiation dose, and almost keeps at a constant value with the increase of irradiation dose for most nuclear materials [61,75].
(2) Irradiation temperature. The formation and growth of defect clusters are closely related to the ambient temperature as the re-emission of interstitials or vacancies from defect clusters is a thermally activated process. The growth of defect clusters occurs when the irradiation temperature is sufficiently high for the diffusion of irradiation defects. However, increasing the irradiation temperature beyond a certain limit will result in the emission of point defects from the clusters, which further promotes the recombination of point defects, and reduces the density of defect clusters (e.g., DLs and SFTs) [12,87,88]. The existence of the peak in the void swelling vs. irradiation temperature is a classical example of these two counteracting processes. For instance, as presented in Figure 3, the size of irradiation-induced voids as observed in neutron-irradiated molybdenum alloys was found to be strongly dependent on the irradiation temperature [89]. With the increase of the temperature from 573 K to 1173 K, the observed defects evolve from fine voids (with the diameter D around 1 nm) to moderate ones ( D = 5–6 nm) to large ones ( D = 8–30 nm). Meanwhile, the number density of voids gradually decreases with the increase of void size.
(3) Irradiation particle. Due to the different energy spectra of irradiation particles, their interaction mechanism with crystalline atoms may not necessarily be the same, which results in various distribution profiles of defect density within the irradiated materials. For instance, under neutron irradiation, the irradiated materials can be easily got through by neutrons (given the typical dimension of in-vessel nuclear components), which makes the irradiation-induced damage profile be uniformly distributed throughout the whole component. As a comparison, for the case of ion irradiation, the generated defects are usually within the shallow region (up to a few micrometers) because of the limited penetrating capacity of ions, and the defect distribution is non-uniform making standardized mechanical testing almost inapplicable [52,64,90,91]. Though the distribution of irradiation-induced defects might not be the same for neutron and ion irradiation, the dominant defect type is usually identical, which mainly depends on the crystalline structure and irradiation temperature.
To conclude, the formation of irradiation-induced defects is very sensitive to the irradiation condition even for the same irradiated materials. Therefore, the comprehension analysis of defect formation during the irradiation experiments is very important for the further interpretation of microstructures and assessment of mechanical properties.

2.2. Material Properties

As an intrinsic factor, the material properties of nuclear structural materials, including the type of crystalline structures and content of alloying elements, are critically important in determining the formation of irradiation-induced defects as informed in both experimental and computational studies [92,93,94,95,96].
Generally speaking, the dominant irradiation defects formed in metallic materials with different crystalline structures are not necessary the same (as summarized in Table 1). At moderate irradiation conditions, SFTs are the most widely observed defects in FCC metals [7,69,97], whereas, in BCC and HCP materials, the dominant defects are DLs [14,71,72]. With the increase of irradiation temperature and dose, voids gradually become dominant in all FCC, BCC and HCP materials. Moreover, the distribution of these irradiation-induced defects within the grain interiors has their characteristic features. For instance, the habit planes of SFTs, i.e., { 111 } planes, coincide with the dislocation slip planes of { 111 } <110> slip systems in FCC metals. In BCC metals, DLs acquire the habit planes of { 111 } or { 110 } or { 100 } depending on the direction of the Burgers vector of DLs [98]. For HCP metals, most irradiation-induced DLs are located on the basal plane, resulting in the non-uniform distribution of defects on different slip systems.
The addition of alloying elements and impurity atoms not only affects the mechanical properties of pure metals, but also modifies the morphology and size/density distribution of irradiation-induced defects. For instance, the dominant defects observed in irradiated Fe-Cr alloys include not only DLs but also solute rich clusters, which consist of major alloying element Cr and minor alloy elements such as P and Si, etc. These two kinds of defects are found to be equally important to characterize the hardening behavior of irradiated Fe-Cr alloys. Moreover, the interaction between alloying elements and point defects can promote the generation of non-equilibrium configurations including the segregation and depletion around the grain boundaries (see Figure 4) [22,99,100,101].
Besides the influence of crystalline structures and alloy elements, there are other strategies such as the interface engineering that can affect both the formation and distribution of irradiation-induced defects [8,92,95,96,102]. A systematical study of these intrinsic influence factors could be a promising strategy that shines light on the way for the design of irradiation-resistant materials in the near future.

3. Interaction between Defects and Dislocations

Compared to the glissile dislocations, which can move under external applied load, irradiation-induced defects are usually sessile (except perfect DLs who indeed have very low migration energy). Therefore, the dislocation-defect interaction can be taken as the contact between a series of gliding dislocations and fixed defect obstacles, which eventually results in irradiation-hardening [103]. Meanwhile, this interaction process strongly depends on the spatial contact position, and the interaction strength is determined by the defect type, dislocation character, test temperature and loading rate, etc.

3.1. Interaction Process

The way how dislocations interact with irradiation defects is a complex process, which is closely related to their mutual spatial positions, as illustrated in Figure 5. In irradiated materials with crystalline structures, dislocations should glide on corresponding sliding planes. Moreover, the irradiation-induced defects also occupy certain specific habit planes, e.g., { 111 } for DLs and SFTs [104,105]. Therefore, the dislocation-defect interaction can be classified into two general cases, i.e., the parallel interaction and non-parallel interaction, which depends on the mutual orientation relationship between the dislocation glide planes and defect habit planes.
For the case of DLs, when the loop habit plane is parallel to the slip plane of dislocations, DLs can hardly interact with dislocations, which results in no hardening behavior and limited evolution of the density of defects. Here, the discussion concerns the direct dislocation-defect interaction, which excludes the long-range elastic interaction. Otherwise, DLs would act as obstacles impeding the sliding of mobile dislocations, which, on the one hand, leads to the irradiation-hardening, and on the other hand, results in the full or partial removal of DLs and formation of defect-free channels. The situation for SFTs is somewhat special because of the three-dimensional structure of SFTs. When the slip plane of dislocations is parallel to one of the habit planes of SFTs, the interaction may still occur depending on the distance between the dislocation slip plane and SFT habit plane relative to the height of SFTs. If the distance is larger than the height of SFTs, no interaction happens as in the case of the dislocation-DL interaction [38,107]. If not, the sliding dislocations can still contact with SFTs, which results in (1) the direction incorporation of SFTs on the dislocation line, or (2) truncation of SFTs with/without small SFTs, which depends on the size of SFTs, the type of dislocations and test temperature. As to the case of voids, the interaction is rather simple. At low test temperatures, voids are strong obstacles so that gliding dislocations pass by the emission and closure of the dipoles. The surmounted void is sheared and a characteristic step on the void surface is left after each interaction process. With the increase of the test temperature, surface climb and dislocation cross-slip are also activated such that several vacancies can be absorbed on the dislocation line after the interaction.

3.2. Interaction Strength

The interaction strength (or say the critical stress) for the transmission of dislocations through irradiation defects is determined by the defect morphology, test temperature and dislocation character, etc [22,108,109]. As observed in experiments, irradiation-induced defects can be categorized into four types: point defects (e.g., interstitials and vacancies), one-dimensional defects (e.g., dislocations), two-dimensional defects (e.g., DLs), and three-dimensional defects (e.g., SFTs, voids, solute rich clusters, and precipitates) [22,110]. Besides point defects, the rest irradiation-induced defects can all, to some extent, impede the movement of sliding dislocations. Among them, voids can hardly be annihilated by sliding dislocations, which reveals the strongest interaction strength when compared with the rest type of defects. The interaction strength induced by DLs and SFTs is moderate, therefore, defect-free channels can be observed in irradiated materials with the subsequent annihilation of these two types of defects. It should be noted that screw dislocations tend to cross-slip when encountered with the impediment of sessile defects [111], therefore, in general, the interaction strength for screw dislocations differs from that of edge dislocations.
Test temperature is also an important factor affecting the interaction strength [109]. Based on the Orwan theory, the interaction strength induced by the regular square array of defects can be expressed as τ = h d μ b N def d def with h d the defect strength coefficient, μ the shear modulus, b the magnitude of the Burgers vector, N def the numerical density of defects and d def the average size of defects. For a given density and size of irradiation defects, it is found that h d decreases with the increase of test temperature for neutron-irradiated Cu [7], which indicates that the interaction strength gradually vanishes with the increase of test temperature, as shown in Figure 6. This is explained by the thermally activated nature of the interaction between dislocations and irradiation-induced defects.

4. Evolution of Defects and Dislocations

During the plastic deformation process, the persistent dislocation-defect interaction could result in the evolution of irradiation defects and dislocations is responsible for the irradiation embrittlement. In general, the evolution of defects and dislocations can be categorized into three stages: the annihilation/removal of defects by sliding dislocations, formation of defect-free channels, and germination of microvoids and cracks. Thereinto, the annihilation/removal of defects comes from the persistent dislocation-defect interaction, which results in the incorporation of irradiation defects on the dislocation lines. Therefore, formed defect-free channels offer the regions where the dislocation slip is easy, and this establishes the highly localized plastic deformation zone. Following that, microvoids tend to germinate around the intersection sites between the defect-free channels and grain boundaries with the accumulation of dislocations, which finally leads to the extension of cracks throughout the irradiated materials.

4.1. Annihilation of Defects

Defect annihilation/removal is a micro-scale phenomenon, and has long been in the mist due to the limitation of experimental observation technique and numerical simulation methods. Recently, with the development of TEM, the direct observation of the dislocation-defect interaction and the subsequent evolution of defects and dislocations have become available, which tremendously enriches our understanding of the dislocation-defect interaction at micro scale.
For instance, Figure 7 illustrates the in situ observation of the evolution of SFTs during the interaction process with sliding dislocations [62,63]. In Figure 7a, two SFTs respectively labeled “A” and “B” are indicated in irradiated gold, thereinto, a glissile dislocation gets physical interaction with SFT “B”, and results in the collapse of SFT “B” into a glissile DL and glides away. As a comparision, the other SFT named “A”, which is close to SFT “B” but does not interact with the sliding dislocation, remains unchanged [62]. This observation points out that the collapse of irradiation defects does not originate from the interaction stress field induced by dislocations and defects, but from the direct physical interaction, i.e., the dislocation-defect contact [63]. Figure 7b also captures the sequential interaction between three dislocations and one SFT [63]. These images prove that the defect annihilation may come from the sequential interaction with a series of sliding dislocations.
As a summary of the experimental observations, five different outcomes of the defect-dislocation interaction are revealed, namely: (1) Defects remain unaffected while the contacted dislocations slide away [111]. (2) Defects are completely absorbed with no influence on the gliding dislocations [112]. (3) Formation of a drag, either through the long-range elastic interaction or via the absorption of defects on dislocation lines in a form of superjog, which occurs for edge dislocations. The absorption of defects on the screw dislocation line creates helical turns that would pin the further movement of dislocations, and therefore the helix should either be emitted (as perfect loops) or removed from the dislocation line by sliding along the line to the nearest sink (e.g., grain boundaries or voids) [113,114]. (4) The defect is transformed into other types, e.g., a SFT collapses into a Frank loop following the inverse Silcos-Hirsch mechanism [62,63,114] or a <100> loop is converted into a a/2<111> loop. (5) Defect is sheared by dislocations and remains as a single one or is broken into small ones [111,113,115,116]. These experimental observations could help verify the fundamental mechanisms observed in numerical simulations, and also provide insights into the formation of defect-free channels in irradiated materials [117].

4.2. Formation of Defect-Free Channels

A distinguished feature observed in irradiated materials is the formation of defect-free channels (or say dislocation channels) after plastic deformation [118] as illustrated in Figure 8. The dominant characters of defect-free channels involve the channel width (around 0.1 μ m), inter-channel spacing (about 1–3 μ m) and the amount of accumulated shear strain in channels [119,120]. Through measuring the step height on the surface of irradiated samples and the offset caused by the channel-grain boundary intersection, the amount of shear strain in channels is estimated to be about two orders of magnitude higher than that of bulk materials without irradiation effect [121].
To uncover the formation process of defect-free channels, a number of experimental observations have been performed [10,60,118,122,123]. One representative experiment is the study of strain localization in irradiated 316 stainless steels when the temperature ranges from 323 K to 473 K. It is found that the formation of defect-free channels becomes dominant when the neutron irradiation dose reaches 0.78 dpa, and the channel width would gradually evolve with the growth of channels [118]. Moreover, the formation of defect-free channels is investigated in neutron-irradiated molybdenum. The experimental results indicate that the irradiation-induced DLs in molybdenum are unstable with respect to the external stress. The observation of the loop-loop interaction is believed to play a significant role in the early formation stage of defect-free channels [123]. As indicated in these experimental observations, the formation of defect-free channels is found to be related to the local grain orientation, Schmid factors, stacking fault energy and irradiation conditions, etc. [124].
Generally speaking, in the vicinity of grain boundary triple junctions, dislocations tend to be generated because of stress concentration [125]. These emitted dislocations from grain boundaries would interact with irradiation-induced defects in the grain interiors with high Schmid factors, which results in the annihilation of defects and formation of defect-free channels. It has also been indicated that the localized plastic deformation is suppressed in the materials with low stacking fault energy due to the limited number of active slip systems and low probability for cross-slip. However, with the increase of irradiation doses, sufficient defects can ensure the dislocation-d efect interaction, and therefore, defect-free channels are found to be general even in irradiated stainless steels with low stacking fault energy [124].
To explain the reason defect-free channels are formed with a certain width, two possible explanations have been put forward [110,111,126,127]: (1) Dislocation source widening at grain boundaries and stress concentration sites. As observed in irradiated 304 stainless steels, the dislocation source region is actually a volumetric element, and the emission of dislocations is a dynamic process that if one region is inhibited, a new nearby region can be activated as another dislocation source. This phenomenon may help explain the width of defect-free channels as the generated dislocations from these source regions are of the same type on parallel slip planes [110]. (2) Cross-slip of dislocations. According to the simulation results of dislocation dynamics (see Figure 9), it is pointed out that the formation of defect-free channels is strongly dependent on the cross-slip of dislocations when encountered by sessile defects [35,126]. In addition, the phenomenon of double cross-slip is observed in the SFT-dislocation interaction process that SFTs finally collapse into Frank loops [111]. However, it should be noted that cross-slip alone may not be sufficient to result in the formation of defect-free channels as observed in experiments. Moreover, it has been indicated that the width of channels increases with test temperature, indicating that the channel widening process should also involve a thermally activated mechanism [127].

4.3. Generation of Microvoids and Cracks

With the development of defect-free channels, the degree of localized deformation within channels becomes so high that the plastic deformation mainly occurs within the channels while the surrounding “matrix” remains undeformed. As soon as the in-channel dislocations hit the grain boundary, three types of the channel-grain boundary interaction are observed: (1) continuous slipping of dislocations across grain boundaries, (2) the absorption of sliding dislocations into grain boundaries leading to the sliding of grain boundaries, and (3) the accumulation of dislocations around the vicinity of grain boundaries resulting in the establishment of stress concentration. Given the sufficient accumulation of dislocations in the pile-up region near the grain boundary and intensive inter-boundary slip, vacancies may start to generate as a result of stress concentration. The generation of those vacancies and their coalescence into clusters will eventually facilitate the germination of microvoids. The latter two mechanisms are believed to promote the nucleation of microvoids, while the coalescence of microvoids would result in the formation of cracks [128].
Actually, the formation of microvoids is likely to occur near the interaction sites of defect-free channels and grain boundaries. In the scanning electron microscopy image as illustrated in Figure 10a, it can be seen that the grain boundaries act as obstacles for the sliding of dislocations within the defect-free channels. Due to the pile-up of dislocations at grain boundaries, the local stress dramatically increases with the strain in the channel increasing up to 200% compared with the 2.5% macroscopic strain. Through the absorption of dislocations and continuous sliding of these dislocations along the grain boundary, stress concentration can be moderated to some extend. However, the formation of microvoids is inevitable due to the concentration of vacancies near the channel-grain boundary interaction regions [129].
Besides the interaction sites, the interface between defect-free channels and the adjacent irradiated matrix is also the latent position for the germination of microvoids. As illustrated in Figure 10b, the propagation of micro-cracks in the front region of a micro crack is presented in irradiated materials with defect-free channels [60]. Around the crack tip, the intense stress filed can prompt the aggregation of vacancies into the interfaces which is similar to the case of grain boundaries, and thereby the accumulated microvoids can either facilitate the propagation of cracks along the interface of defect-free channels or the generation of sub-cracks connected to the original channels. It is generally believed that the generated defect-free channel is the most critical factor resulting in irradiation embrittlement and degradation of material properties.

5. Summary and Outlook

In this review, corresponding mechanisms for the phenomena of irradiation-hardening and embrittlement are overviewed, which include the formation of irradiation-induced defects, dislocation-defect interaction, and evolution of defects and dislocations. So far, a consensus has been reached that the irradiation-hardening mainly originates from the impediment of sliding dislocation by irradiation-induced defects, and the annihilation of irradiation defects leading to the formation of defect-free channels is the primary factor resulting in the irradiation embrittlement as microvoids tend to nucleate at the intersection sites of the channels and grain boundaries, as well as the interface of channels. In order to obtain a sophisticated comprehension of the fundamental mechanisms, persistent efforts are needed in the fields of numerical simulations, experimental observations and theoretical models, as the study of irradiation effect is intrinsically a multi-scale issue that ranges from atomic scale to micro scale and macro scale.

Funding

This work was supported by the National Nature Science foundation of China (NSFC) under Contract No. 11802344, and Natural Science Foundation of Hunan Proince, China (Grant No. 2019JJ50809). X.Z. thanks the initial funding supported by Central South University.

Acknowledgments

The author acknowledges Duan, Chu and Terentyev for the useful discussion.

Conflicts of Interest

The author declares no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Figure 1. (color online) (a) Increase of the yield stress as a function of irradiation dose for reduced activation and conventional steels irradiated and tested at 698 K. (Reprinted with permission from [4]. Copyright 2000 by Elsevier.) (b) Hardness as a function of irradiation dose for nanocrystalline CLAM steels irradiated by Xe ions at room temperature (Reprinted with permission from [25]. Copyright 2014 by Elsevier.) (c) Total elongation as a function of irradiation dose for ferritic/martensitic steels when irradiated at 623 K in STIP and 598 K in BOR60. (Reprinted with permission from [26]. Copyright 2011 by Elsevier.) (d) Change of DBTT as a function of irradiation dose for ferritic/martensitic steels irradiated in fission reactors and STIP. (Reprinted with permission from [26]. Copyright 2011 by Elsevier.).
Figure 1. (color online) (a) Increase of the yield stress as a function of irradiation dose for reduced activation and conventional steels irradiated and tested at 698 K. (Reprinted with permission from [4]. Copyright 2000 by Elsevier.) (b) Hardness as a function of irradiation dose for nanocrystalline CLAM steels irradiated by Xe ions at room temperature (Reprinted with permission from [25]. Copyright 2014 by Elsevier.) (c) Total elongation as a function of irradiation dose for ferritic/martensitic steels when irradiated at 623 K in STIP and 598 K in BOR60. (Reprinted with permission from [26]. Copyright 2011 by Elsevier.) (d) Change of DBTT as a function of irradiation dose for ferritic/martensitic steels irradiated in fission reactors and STIP. (Reprinted with permission from [26]. Copyright 2011 by Elsevier.).
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Figure 2. (color online) Dose dependence of cluster density and size distribution under neutron or proton irradiation. (a) Cu, Pd and Fe. (Reprinted with permission from [60]. Copyright 2000 by Elsevier.) (b) Fe and Fe-Cr alloys. (Reprinted with permission from [61]. Copyright 2008 by Elsevier.) (c) T91 and EUROFER97 steels. (Reprinted with permission from [75]. Copyright 2008 by Elsevier.).
Figure 2. (color online) Dose dependence of cluster density and size distribution under neutron or proton irradiation. (a) Cu, Pd and Fe. (Reprinted with permission from [60]. Copyright 2000 by Elsevier.) (b) Fe and Fe-Cr alloys. (Reprinted with permission from [61]. Copyright 2008 by Elsevier.) (c) T91 and EUROFER97 steels. (Reprinted with permission from [75]. Copyright 2008 by Elsevier.).
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Figure 3. (color online) Maximum swelling as a function of irradiation temperature for oxide dispersion strengthened (ODS), low carbon arc cast (LCAC) and molybdenum-0.5pct titanium-0.1pct zirconium (TZM) molybdenum under highest fluence. (Reprinted with permission from [89]. Copyright 2011 by Elsevier.).
Figure 3. (color online) Maximum swelling as a function of irradiation temperature for oxide dispersion strengthened (ODS), low carbon arc cast (LCAC) and molybdenum-0.5pct titanium-0.1pct zirconium (TZM) molybdenum under highest fluence. (Reprinted with permission from [89]. Copyright 2011 by Elsevier.).
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Figure 4. (color online) Distribution profiles of (a) Cr, (b) C, (c) Si and (d) P concentration across different types of grain boundaries for neutron-irradiated Fe-6%Cr alloys. (Reprinted with permission from [99]. Copyright 2014 by Elsevier.).
Figure 4. (color online) Distribution profiles of (a) Cr, (b) C, (c) Si and (d) P concentration across different types of grain boundaries for neutron-irradiated Fe-6%Cr alloys. (Reprinted with permission from [99]. Copyright 2014 by Elsevier.).
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Figure 5. (color online) Illustration of the dislocation-DL and dislocation-SFT interaction when their slipping planes and habit planes are parallel or not. (a) The slipping plane of dislocations is not parallel to the habit plane of DLs; (b) the slipping plane of dislocations is parallel to the habit plane of DLs; (c) the slipping plane of dislocations is not parallel to the habit plane of SFTs; and (d) the slipping plane of dislocations is parallel to the habit plane of SFTs. (Reprinted with permission from [106]. Copyright 2015 by Elsevier.).
Figure 5. (color online) Illustration of the dislocation-DL and dislocation-SFT interaction when their slipping planes and habit planes are parallel or not. (a) The slipping plane of dislocations is not parallel to the habit plane of DLs; (b) the slipping plane of dislocations is parallel to the habit plane of DLs; (c) the slipping plane of dislocations is not parallel to the habit plane of SFTs; and (d) the slipping plane of dislocations is parallel to the habit plane of SFTs. (Reprinted with permission from [106]. Copyright 2015 by Elsevier.).
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Figure 6. (color online) Temperature effect on the irradiation-hardening coefficient α of pure Cu under neutron irradiation. (Reprinted with permission from [7]. Copyright 2007 by Elsevier.).
Figure 6. (color online) Temperature effect on the irradiation-hardening coefficient α of pure Cu under neutron irradiation. (Reprinted with permission from [7]. Copyright 2007 by Elsevier.).
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Figure 7. (color online) In situ observation of the annihilation of SFTs through the interaction with sliding dislocations. (a) The SFT labeled “B” collapses into a glissile dislocation with the remnant dislocation gliding away in gold. (Reprinted with permission from [62]. Copyright 2005 by Elsevier.) (b) The SFT is annihilated through a sequential interaction with sliding dislocations. (Reprinted with permission from [63]. Copyright 2004 by Elsevier.).
Figure 7. (color online) In situ observation of the annihilation of SFTs through the interaction with sliding dislocations. (a) The SFT labeled “B” collapses into a glissile dislocation with the remnant dislocation gliding away in gold. (Reprinted with permission from [62]. Copyright 2005 by Elsevier.) (b) The SFT is annihilated through a sequential interaction with sliding dislocations. (Reprinted with permission from [63]. Copyright 2004 by Elsevier.).
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Figure 8. (color online) Observation of defect-free channels (or say dislocation channels) in irradiated metals after plastic deformation. (a) Zirconium alloys. (Reprinted with permission from [122]. Copyright 2004 by Elsevier.) (b) Iron irradiated at 0.4 dpa and 343 K. (Reprinted with permission from [10]. Copyright 2006 by Elsevier.) (c) Palladium single crystals irradiated with protons. (Reprinted with permission from [60]. Copyright 2000 by Elsevier.).
Figure 8. (color online) Observation of defect-free channels (or say dislocation channels) in irradiated metals after plastic deformation. (a) Zirconium alloys. (Reprinted with permission from [122]. Copyright 2004 by Elsevier.) (b) Iron irradiated at 0.4 dpa and 343 K. (Reprinted with permission from [10]. Copyright 2006 by Elsevier.) (c) Palladium single crystals irradiated with protons. (Reprinted with permission from [60]. Copyright 2000 by Elsevier.).
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Figure 9. (color online) Distribution of irradiation defects and dislocation configurations when the irradiation dose equals 0.375 dpa for neutron-irradiated iron. Numerical results are performed by coupled Field-dislocation dynamics simulations. (Reprinted with permission from [35]. Copyright 2018 by Elsevier.).
Figure 9. (color online) Distribution of irradiation defects and dislocation configurations when the irradiation dose equals 0.375 dpa for neutron-irradiated iron. Numerical results are performed by coupled Field-dislocation dynamics simulations. (Reprinted with permission from [35]. Copyright 2018 by Elsevier.).
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Figure 10. (color online) (a) The interaction between dislocation channels and grain boundaries that results in stress concentration due to the pile-up of dislocations by grain boundaries and transmission of dislocations through grain boundaries. (Reprinted with permission from [129]. Copyright 2015 by Elsevier.) (b) Illustration of the propagation of crack tip along the interface of dislocation channels. (Reprinted with permission from [130]. Copyright 2007 by Elsevier.).
Figure 10. (color online) (a) The interaction between dislocation channels and grain boundaries that results in stress concentration due to the pile-up of dislocations by grain boundaries and transmission of dislocations through grain boundaries. (Reprinted with permission from [129]. Copyright 2015 by Elsevier.) (b) Illustration of the propagation of crack tip along the interface of dislocation channels. (Reprinted with permission from [130]. Copyright 2007 by Elsevier.).
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Table 1. The dominant irradiation-induced defects observed in different types of nuclear structural materials.
Table 1. The dominant irradiation-induced defects observed in different types of nuclear structural materials.
MaterialsDominant DefectsIrradiation Conditions
Copper [69]SFTs0.8 dpa and 343 K with neutrons
Copper [7]DLs and SFTs0.001-0.1 dpa and 353-423 K with neutrons
Nickel alloy [70]DLsUp to 82.5 dpa and 293 K with 115 KeV argon ions
Nanocrystalline Ni [8]DLsUp to 2.3 × 10 16 / cm 2 and 293 K with 12 MeV He ions
Iron [10]DLs0.8 dpa and 343 K with neutrons
Iron [9]DLs0.375 dpa and 523 K with neutrons
Tungsten [11]Voids, bubbles and DLs0.15–0.47 dpa and 804–1073 K with neutrons
Tungsten [71]DLs0.006–0.03 dpa and 363 K with neutrons
Palladium [60]DLs0.12 dpa and 320 K with 590 MeV protons
ODS steels [72]DLs1 dpa and 623 K with 590 MeV protons
EUROFER ODS steels [73]DLs16.3 dpa and 298–723 K with neutrons
Reduced-activation steels [74]Precipitates5 dpa and 623 K with neutrons
T91 steels [75]DLs0.06 dpa and 573 K with neutrons
EUROFER97 steels [75]DLs1.5 dpa and 573 K with neutrons
EUROFER97 steels [76]DLs, voids and helium bubbles16.3 dpa and 523–723 K with neutrons
Fe-Cr alloys [61]DLs and solute rich clusters0.06–1.5 dpa and 433–573 K with neutrons
Fe-Cr alloys [77]DLs8 MeV and 293 K with Fe ions
304 and 316 austenitic stainless steels [78]DLs0.36–5 dpa and 623 K with 160 KeV Fe ions
RAFM steels [79]DLsHe 23 appm/dpa and 673 K
HT-9 steels [80]DLs8 × 10 20 / cm 2 and 573–773 K with 14 MeV nickel ions
F82H steels [81]DLs and Helium bubbles10.7–19.6 dpa and 438–578 K with He
CLAM steels [52]DLs3 × 10 16 ion / cm 2 and 773 K with He + ions
Molybdenum [82]DLs0.28 dpa and 353 K with neutrons

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Xiao, X. Fundamental Mechanisms for Irradiation-Hardening and Embrittlement: A Review. Metals 2019, 9, 1132. https://doi.org/10.3390/met9101132

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Xiao X. Fundamental Mechanisms for Irradiation-Hardening and Embrittlement: A Review. Metals. 2019; 9(10):1132. https://doi.org/10.3390/met9101132

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Xiao, Xiazi. 2019. "Fundamental Mechanisms for Irradiation-Hardening and Embrittlement: A Review" Metals 9, no. 10: 1132. https://doi.org/10.3390/met9101132

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Xiao, X. (2019). Fundamental Mechanisms for Irradiation-Hardening and Embrittlement: A Review. Metals, 9(10), 1132. https://doi.org/10.3390/met9101132

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