An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space

In this paper, a meshless local radial point interpolation method (RPIM) is proposed for the thermoelastic analysis of functionally graded materials (FGMs) under thermal shocks. The properties of such materials are temperature-dependent varying and change gradually through thickness based on the Mor...

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Main Authors: Vahid Reza Hosseini, Hui Zheng, Wennan Zou
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016822001569
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author Vahid Reza Hosseini
Hui Zheng
Wennan Zou
author_facet Vahid Reza Hosseini
Hui Zheng
Wennan Zou
author_sort Vahid Reza Hosseini
collection DOAJ
description In this paper, a meshless local radial point interpolation method (RPIM) is proposed for the thermoelastic analysis of functionally graded materials (FGMs) under thermal shocks. The properties of such materials are temperature-dependent varying and change gradually through thickness based on the Mori–Tanaka scheme and the volume fraction power law distribution (Appendix A). The characterization and visualization of the FGMs under a prescribed temperature gradient or heat flux are then detailed. The proposed method does not need any background cell-based integration and is thus very suitable to deal with complex geometries and scattered data. Moreover, the shape functions of this method possess the properties of the Kronecker delta, wherein the essential boundary conditions can be analytically satisfied. The numerical results are fully discussed and validated by the corresponding outcomes of the moving least squares (MLS) method, demonstrating the high capability and efficiency of RPIM proposed here in simulating the dynamic thermoelastic analysis of FGMs.
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spelling doaj.art-f1752979c18f4e7ca0ba0fd550603c462022-12-23T04:37:44ZengElsevierAlexandria Engineering Journal1110-01682022-12-0161121049510510An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional spaceVahid Reza Hosseini0Hui Zheng1Wennan Zou2Institute for Advanced Study, Nanchang University, Nanchang 330031, ChinaSchool of Civil Engineering and Architecture, Nanchang University, 330031, ChinaInstitute for Advanced Study, Nanchang University, Nanchang 330031, China; Corresponding author.In this paper, a meshless local radial point interpolation method (RPIM) is proposed for the thermoelastic analysis of functionally graded materials (FGMs) under thermal shocks. The properties of such materials are temperature-dependent varying and change gradually through thickness based on the Mori–Tanaka scheme and the volume fraction power law distribution (Appendix A). The characterization and visualization of the FGMs under a prescribed temperature gradient or heat flux are then detailed. The proposed method does not need any background cell-based integration and is thus very suitable to deal with complex geometries and scattered data. Moreover, the shape functions of this method possess the properties of the Kronecker delta, wherein the essential boundary conditions can be analytically satisfied. The numerical results are fully discussed and validated by the corresponding outcomes of the moving least squares (MLS) method, demonstrating the high capability and efficiency of RPIM proposed here in simulating the dynamic thermoelastic analysis of FGMs.http://www.sciencedirect.com/science/article/pii/S1110016822001569Thermoelastic wave equationFunctionally graded materialsThermoelastic analysisMeshless methodThermal loading
spellingShingle Vahid Reza Hosseini
Hui Zheng
Wennan Zou
An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
Alexandria Engineering Journal
Thermoelastic wave equation
Functionally graded materials
Thermoelastic analysis
Meshless method
Thermal loading
title An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
title_full An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
title_fullStr An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
title_full_unstemmed An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
title_short An efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two-dimensional space
title_sort efficient meshfree computational approach to the analyze of thermoelastic waves of functionally graded materials in a two dimensional space
topic Thermoelastic wave equation
Functionally graded materials
Thermoelastic analysis
Meshless method
Thermal loading
url http://www.sciencedirect.com/science/article/pii/S1110016822001569
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