A BDEM for transient thermoelastic crack problems in functionally graded materials under thermal shock
A BDEM for transient thermoelastic crack problems in functionally graded materials under thermal shock
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DOI：
10.1016/j.commatsci.2011.06.019
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发表时间：
2012-05
影响因子：
3.3
通讯作者：
Alexander Ekhlakov;O. Khay;Ch. Zhang;J. Sládek;V. Sládek
中科院分区：
文献类型：
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作者：
Alexander Ekhlakov;O. Khay;Ch. Zhang;J. Sládek;V. Sládek
本文提出了一种求解二维、有限、各向同性、连续非均匀、线弹性功能梯度材料在热冲击作用下的线性耦合热弹性瞬态裂纹问题的边界域元法。应用各向同性、均质和线弹性固体的拉普拉斯变换域线性耦合热弹性基本解导出边界域积分方程列式。空间离散化采用配点法。为了获得与时间相关的解决方案的Stehfest的算法。热动态应力强度因子的估计使用外推技术。数值算例的材料参数的指数梯度和讨论显示的材料梯度和耦合参数的热动态应力强度因子的影响。
A boundary-domain element method for solving transient crack problems of linear coupled thermoelasticity in two-dimensional, finite, isotropic, continuously non-homogeneous and linear elastic functionally graded materials subjected to a thermal shock is developed. Fundamental solutions of linear coupled thermoelasticity in Laplace-transformed domain for isotropic, homogeneous and linear elastic solids are applied to derive a boundary-domain integral equation formulation. A collocation method is implemented for the spatial discretization. To obtain the time-dependent solutions the Stehfest’s algorithm is used. Thermal dynamic stress intensity factors are evaluated by using the extrapolation technique. Numerical examples for an exponential gradation of the material parameters are presented and discussed to show the effects of the material gradation and the coupling parameter on the thermal dynamic stress intensity factors.