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Symmetry
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Analysis and Design of Structures and Processes Based on Anisotropic...
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Analysis and Design of Structures and Processes Based on Anisotropic Plasticity 2021

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Chemistry: Symmetry/Asymmetry".

Deadline for manuscript submissions: closed (14 April 2023) | Viewed by 7535

Special Issue Editors

Prof. Dr. Sergei Alexandrov

E-Mail Website1 Website2
Guest Editor
1. Laboratory of Technological Processes, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 119526 Moscow, Russia
2. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
Interests: plasticity theory; fracture mechanics; metal forming; structural mechanics
Special Issues, Collections and Topics in MDPI journals
Prof. Pierre Yves Manach

E-Mail Website
Guest Editor
IRDL - UMR CNRS 6027, Université Bretagne Sud, Rue de Saint Maudé, 56100 Lorient, France
Interests: mechanics; plasticity; material behaviour
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Plastic anisotropy arises from different metal-forming processes, such as the production of rolled sheets, drawn sheets, extruded billets, and others. The most significant factor giving rise to anisotropic properties is the preferred orientation of grains. However, quantitative treatment of plastic anisotropy is possible without regard to its crystallographic origin nor any anisotropic yield criteria and flow rules. The anisotropic yield criterion has a great effect on the analysis and design of structures and machine parts. The orthotropic form of anisotropy is most common. In this case, the anisotropic properties have two-fold symmetry. Another important form of anisotropy demands that a material has rotational symmetry about the principal axes of anisotropy.

This Special Issue of Symmetry features articles about analytical and numerical methods for the analysis and design of structures and metal-forming processes assuming that the material is plastically anisotropic. We are soliciting contributions covering a broad range of topics including limit load, springback, stress intensity factor, defect assessment procedures, strain rate intensity factor, minimum weight, forming limit diagram, and others. We are interested in contributions that show how certain assumptions concerning symmetry of anisotropic properties specifically affect the analysis and design of structures and technological processes.

Prof. Dr. Sergei Alexandrov
Prof. Pierre Yves Manach
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • plastic anisotropy
  • structures
  • metal-forming processes

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Published Papers (4 papers)

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Research

19 pages, 3021 KiB  
Article
Variability of Elastic Properties of Two-Layered Tubes from Six-Constant Tetragonal Crystals
by Mikhail A. Volkov, Valentin A. Gorodtsov and Dmitry S. Lisovenko
Symmetry 2023, 15(3), 685; https://doi.org/10.3390/sym15030685 - 8 Mar 2023
Cited by 2 | Viewed by 1229
Abstract
An analytical analysis of the problem of the longitudinal tension of two-layered tubes with walls made of tetragonal crystals was carried out together with numerical calculations of the effective Young’s moduli and Poisson’s ratios of the tubes, using the known experimental data on [...] Read more.
An analytical analysis of the problem of the longitudinal tension of two-layered tubes with walls made of tetragonal crystals was carried out together with numerical calculations of the effective Young’s moduli and Poisson’s ratios of the tubes, using the known experimental data on the elastic characteristics of such crystals. The study of the effective elastic properties of two-layered tubes was carried out in the cases of layers of the same thickness, equal volumes, and greater arbitrariness. The effective Young’s modulus often exceeds the largest Young’s modulus of a pair of layers, and the effective Poisson’s ratio can be negative, even if the Poisson’s ratios are positive in both layers. In other words, an auxetic of the two-layered tube may correspond to a pair of non-auxetics in two layers of this tube. Full article
(This article belongs to the Special Issue Analysis and Design of Structures and Processes Based on Anisotropic Plasticity 2021)
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16 pages, 1776 KiB  
Article
Review of Selected Issues in Anisotropic Plasticity under Axial Symmetry
by Sergei Alexandrov and Marina Rynkovskaya
Symmetry 2022, 14(10), 2172; https://doi.org/10.3390/sym14102172 - 17 Oct 2022
Cited by 2 | Viewed by 1460
Abstract
The present review paper consists of two main parts, which are not connected. The first part is devoted to a general axisymmetric elastic–plastic plane stress solution, assuming polar anisotropy. Strains are infinitesimal. The principal stress trajectories coincide with the principal axes of anisotropy. [...] Read more.
The present review paper consists of two main parts, which are not connected. The first part is devoted to a general axisymmetric elastic–plastic plane stress solution, assuming polar anisotropy. Strains are infinitesimal. The principal stress trajectories coincide with the principal axes of anisotropy. No restrictions are imposed on the yield criterion other than the conventional restrictions imposed on the yield criteria in plasticity. The plastic portion of the strain rate tensor is determined from the associated flow rule. A simple example illustrates the general solution. The second part is devoted to the stationary ideal flow theory for anisotropic materials under axial symmetry. The elastic portion of the strain tensor is neglected. A piece-wise linear yield criterion is adopted. This criterion generalizes Tresca’s yield criterion. The existence of ideal flow is proven. It is also shown that the available solutions for Tresca’s yield criterion can be used for deriving solutions for the yield criterion under consideration. Miscellaneous topics are shortly discussed in the third part of the paper. Full article
(This article belongs to the Special Issue Analysis and Design of Structures and Processes Based on Anisotropic Plasticity 2021)
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13 pages, 1792 KiB  
Article
Modeling of Cross Work Hardening and Apparent Normality Loss after Biaxial–Shear Loading Path Change
by Yanfeng Yang, Cyrille Baudouin and Tudor Balan
Symmetry 2022, 14(1), 142; https://doi.org/10.3390/sym14010142 - 12 Jan 2022
Viewed by 1608
Abstract
The specific loading-path change during sheet metal forming may lead to some abnormal deformation phenomena. Two-stage orthogonal loading paths without elastic unloading have revealed a phenomenon of apparent loss of normality, further modeled in the literature by non-normality theories. In this paper, a [...] Read more.
The specific loading-path change during sheet metal forming may lead to some abnormal deformation phenomena. Two-stage orthogonal loading paths without elastic unloading have revealed a phenomenon of apparent loss of normality, further modeled in the literature by non-normality theories. In this paper, a particular orthogonal strain-path change is investigated using the Teodosiu–Hu hardening rule within an associated plasticity framework. The results indicate that cross work-hardening has a significant contribution to the apparent loss of normality and subsequent asymmetric yield surface evolution. Detailed contributions of the model’s ingredients and features are clarified. The developed material model is intended for sheet metal forming simulation applications. Full article
(This article belongs to the Special Issue Analysis and Design of Structures and Processes Based on Anisotropic Plasticity 2021)
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24 pages, 6552 KiB  
Article
Elastic Modeling of Two-Step Transitions in Sterically Frustrated 1D Binuclear Spin-Crossover Chains
by Rachid Traiche, Hassane Oubouchou and Kamel Boukheddaden
Symmetry 2021, 13(10), 1836; https://doi.org/10.3390/sym13101836 - 1 Oct 2021
Cited by 4 | Viewed by 2042
Abstract
Among the large family of spin-crossover materials, binuclear systems play an important role due to their specific molecular configurations, allowing the presence of multi-step transitions and elastic frustration. Although this issue benefited from a significant number of spin-based theories, there is almost no [...] Read more.
Among the large family of spin-crossover materials, binuclear systems play an important role due to their specific molecular configurations, allowing the presence of multi-step transitions and elastic frustration. Although this issue benefited from a significant number of spin-based theories, there is almost no elastic description of the spin transition phenomenon in binuclear systems. To overcome this deficiency, in this work we develop the first elastic modeling of thermal properties of binuclear spin-crossover solids. At this end, we investigated a finite spin-crossover open chain constituted of elastically coupled binuclear (A = B) blocks, ⋯A=B−A=B−A=B⋯, in which the considered equivalent A and B sites may occupy two configurations, namely low-spin (LS) and high-spin (HS) states. The sites of the binuclear unit interact via an intramolecular spring and couple to the neighboring binuclear units via other springs. The model also includes the change of length inside and between the binuclear units subsequent to the spin state changes. When injecting an elastic frustration inside the binuclear unit in the LS state, competing interactions between the intra- and the inter-binuclear couplings emerge. The latter shows that according to the intra- and inter-binuclear elastic constants and the strength of the frustration, multi-step transitions are derived, for which a specific self-organization of type (HS = HS)-(LS-LS)-(HS = HS)⋯ is revealed and discussed. Finally, we have also studied the relaxation of the metastable photoinduced HS states at low temperature, in which two relaxation regimes with transient self-organized states were identified when monitoring the elastic frustration rate or the ratio of intra- and intermolecular elastic interactions. These behaviors are reminiscent of the thermal dependence of the order parameters of the system. The present model opens several possibilities of extensions of elastic frustrations acting in polynuclear spin-crossover systems, which may lead to other types of spin-state self-organizations and relaxation dynamics. Full article
(This article belongs to the Special Issue Analysis and Design of Structures and Processes Based on Anisotropic Plasticity 2021)
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