Thermoelastic crack analysis in functionally graded materials and structures by a BEM

Thermoelastic crack analysis in functionally graded materials and structures by a BEM
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通过边界元法对功能梯度材料和结构进行热弹性裂纹分析

DOI:
10.1111/j.1460-2695.2011.01657.x
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发表时间:
2012-08
影响因子:
3.7
通讯作者:
Gao X. W.
Gao X. W.
中科院分区:
材料科学2区
文献类型:
--
作者:
Zhang C.;Sladek J.;Sladek V.;Gao X. W.

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本文对二维、各向同性、连续非均匀和线弹性梯度功能材料在热冲击作用下的瞬态热弹性裂纹进行了分析。利用拉普拉斯变换技术消除了线性耦合热弹性控制方程的时间依赖性。应用拉普拉斯变换域内各向同性、齐次和线性弹性固体的基本解,导出了力学场和热场的边界域积分方程。采用径向积分法将域积分转化为边界积分。采用一种基于配位的边界元方法对边界域积分方程进行空间离散化。采用Stehfest反演算法得到了随时间变化的数值解。给出并讨论了材料级配、热-力耦合、裂纹取向和热冲击载荷对动应力强度因子的影响。
In this paper, transient thermoelastic crack analysis in two-dimensional, isotropic, continuously non-homogeneous and linear elastic functionally graded materials subjected to a thermal shock is presented. The Laplace transform technique is used to eliminate the time dependence of the governing equations of the linear coupled thermoelasticity. Fundamental solutions for isotropic, homogeneous and linear elastic solids in the Laplace-transformed domain are applied to derive boundary–domain integral equations for the mechanical and thermal fields. The radial integration method is employed to transform the domain integrals into the boundary integrals. A collocation-based boundary element method is implemented for the spatial discretization of the boundary–domain integral equations. The time-dependent numerical solutions are obtained by using Stehfest's inversion algorithm. Numerical results are presented and discussed to show the influences of the material gradation, the thermo-mechanical coupling, the crack orientation and the thermal shock loading on the dynamic stress intensity factors.
用于解决具有发热和空间变化电导率的各向同性热传导问题的无网格边界元法
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