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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Format: | Article |
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Elsevier
2022-12-01
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Series: | Alexandria Engineering Journal |
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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. |
first_indexed | 2024-04-11T05:29:52Z |
format | Article |
id | doaj.art-f1752979c18f4e7ca0ba0fd550603c46 |
institution | Directory Open Access Journal |
issn | 1110-0168 |
language | English |
last_indexed | 2024-04-11T05:29:52Z |
publishDate | 2022-12-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
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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