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Themo-stress analyis in two-dimensional Functionally Graded Materials by a meshfree Radial Point Interpolation Method

11 pagesPublished: July 19, 2023

Abstract

Functionally graded materials (FGMs) are advanced composites whose properties are continuously variable according to their dimensions in one or more predefined directions. The application range of this material is becoming wider and wider, therefore, studies on the activity of functionally graded materials (FGMs) in high-temperature environments become more and more important and necessary. In this study, a mesh-free Radial Point Interpolation Method (RPIM) has been proposed to solve a coupled thermo-mechanical problem in functionally graded metal/ceramic plates. The most important advantage of this method is that the shape functions satisfy the property of Kronecker's delta function. Thus the essential boundary conditions are easily implemented as in the finite element method (FEM). The obtained results are compared with the reference ones from analytical solutions and finite element methods by commercial software COMSOL Multiphysics to verify the effectiveness and reliability of this method.

Keyphrases: functionally graded materials, meshfree method, radial basis functions, thermomechanical analysis

In: Trung Nghia Tran, Quoc Khai Le, Tich Thien Truong, Thanh Nha Nguyen and Hoang Nhut Huynh (editors). Proceedings of International Symposium on Applied Science 2022, vol 5, pages 50-60.

BibTeX entry
@inproceedings{ISAS2022:Themo_stress_analyis_two,
  author    = {Van Long Hoang and My Hien Nguyen Thi and Thanh Nha Nguyen},
  title     = {Themo-stress analyis in two-dimensional Functionally Graded Materials by a meshfree Radial Point Interpolation Method},
  booktitle = {Proceedings of International Symposium on Applied Science 2022},
  editor    = {Trung Nghia Tran and Quoc Khai Le and Tich Thien Truong and Thanh Nha Nguyen and Hoang Nhut Huynh},
  series    = {EPiC Series in Engineering},
  volume    = {5},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2516-2330},
  url       = {/publications/paper/cHxz},
  doi       = {10.29007/jrhd},
  pages     = {50-60},
  year      = {2023}}
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