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Numerical Analysis of FGM and Laminated Structures

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (20 February 2022) | Viewed by 6393

Special Issue Editor


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Guest Editor
Faculdade de Engenharia, Universidade do Porto, 4200-465 Porto, Portugal
Interests: numerical methods; computational mechanics; plates and shells; laminated and functionally graded materials

Special Issue Information

Dear Colleagues,

Numerical methods are currently of fundamental importance in engineering problems, and the evolution of computer power has allowed us to achieve great advances in their application and accuracy. Once a physical problem is modelled, we seek the solution. Finding the analytical solution of an engineering problem is not always possible, but numerical analysis can give good approximations to the correct or exact mathematical solution, including error control. Furthermore, not all problems are suitable for laboratory or simulation investigation, and in some cases previous tests and numerical analysis are the only possibility.

Functionally graded materials (fgm) are more recent than laminates but studies on any of them still prominent due to the continuous discovery of new applications in different areas, such as marine or aerospace among others.

Numerical analysis of laminates or fgm is a large field of research, and includes:

  • Beams, plates, shells structures;
  • Bending, vibration, or buckling analysis of fgm or laminates;
  • Mechanical, thermomechanical, hygrothermal behavior ;
  • Interfacial crack, delamination;
  • Known methods (finite element method, meshless methods, etc.) and new methods.

Contributions to this Special Issue can be original research articles as well as review articles on the Numerical Analysis of FGM and Laminated Structures, not limited to those listed above.

I would like to express my gratitude in advance to all authors that contribute to make this Special Issue a reference in the field.

Dr. Ana M.A. Neves
Guest Editor

Manuscript Submission Information

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Keywords

  • Numerical methods
  • Laminated structures
  • Laminated behavior
  • Laminated properties

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Published Papers (2 papers)

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Research

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20 pages, 1251 KiB  
Article
Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
by Erasmo Carrera, Munise Didem Demirbas and Riccardo Augello
Appl. Sci. 2021, 11(22), 10627; https://doi.org/10.3390/app112210627 - 11 Nov 2021
Cited by 20 | Viewed by 1668
Abstract
In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by [...] Read more.
In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research. Full article
(This article belongs to the Special Issue Numerical Analysis of FGM and Laminated Structures)
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Review

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24 pages, 722 KiB  
Review
Theories and Analysis of Functionally Graded Beams
by J. N. Reddy, Eugenio Ruocco, Jose A. Loya and Ana M. A. Neves
Appl. Sci. 2021, 11(15), 7159; https://doi.org/10.3390/app11157159 - 3 Aug 2021
Cited by 16 | Viewed by 3816
Abstract
This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple [...] Read more.
This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Kármán nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads. Full article
(This article belongs to the Special Issue Numerical Analysis of FGM and Laminated Structures)
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