2017
DOI: 10.1007/s12046-017-0612-1
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Numerical simulation of thermal fracture in functionally graded materials using element-free Galerkin method

Abstract: In the present work, element-free Galerkin method (EFGM) has been extended and implemented to simulate thermal fracture in functionally graded materials. The thermo-elastic fracture problem is decoupled into two separate parts. Initially, the temperature distribution over the domain is obtained by solving the heat transfer problem. The temperature field so obtained is then employed as input for the mechanical problem to determine the displacement and stress fields. The crack surfaces are modelled as non-insula… Show more

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Cited by 14 publications
(7 citation statements)
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“…Over the past three decades, computational techniques have turned their attention to several diverse application areas, ranging from classical astronomical problems to solid mechanics analysis, fluid flow problems, vibration analysis, heat transfer, and optimization to the numerical solution using (partial) differential equations. [43][44][45] A comparison of the various numerical approaches is presented in Table 2.…”
Section: Elastic Limit Design Methodology (Eld)mentioning
confidence: 99%
“…Over the past three decades, computational techniques have turned their attention to several diverse application areas, ranging from classical astronomical problems to solid mechanics analysis, fluid flow problems, vibration analysis, heat transfer, and optimization to the numerical solution using (partial) differential equations. [43][44][45] A comparison of the various numerical approaches is presented in Table 2.…”
Section: Elastic Limit Design Methodology (Eld)mentioning
confidence: 99%
“…19 In recent times, there has been a significant rise in the use of finite element analysis (FEA), primarily due to its ability to offer approximate solutions by simulating models. [20][21][22] This approach helps identify unique stress patterns and failure modes under different boundary conditions, achieved through the discretization of the model into various elements using element meshing. Additionally, researchers have employed the element-free Galerkin method to assess crack intensity in plates, comparing its effectiveness with traditional mesh-based methods.…”
Section: Introductionmentioning
confidence: 99%
“…Zheng [18] studied the thermo-elasticity of FGMs based on the combination of the radial integration method and the BEM and applied it to analyze the dynamic fracture of materials. Garg and Pant [19] studied the influence of edge crack length on the TSIF in FGM plates under thermal load based on the element-free Galerkin method. Wang and Qin [20,21] used the meshless method to simulate the steady-state heat conduction and thermal stress distribution in a two-dimensional FGM plate.…”
Section: Introductionmentioning
confidence: 99%