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

Autor: Vahid Reza Hosseini, Hui Zheng, Wennan Zou
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 61, Iss 12, Pp 10495-10510 (2022)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2022.02.060
Popis: 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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