Thermo-mechanical XFEM crack propagation analysis of functionally graded materials
Thermo-mechanical XFEM crack propagation analysis of functionally graded materials
复制标题
DOI：
10.1016/j.msea.2012.10.043
复制
发表时间：
2013-01
期刊：
影响因子：
6.4
通讯作者：
S. Hosseini;H. Bayesteh;S. Mohammadi
中科院分区：
文献类型：
--
作者：
S. Hosseini;H. Bayesteh;S. Mohammadi
基于扩展有限元法（XFEM），对各向同性和正交异性功能梯度材料（FGM）在机械载荷和稳态热载荷作用下的断裂问题进行了计算分析。其目的是设置为包括在加载，控制方程，和非均匀材料的相互作用积分的热效应与热载荷条件下正交各向异性功能梯度材料的裂纹扩展准则的补充研究。采用各向同性和正交各向异性的裂纹尖端富集来再现裂纹尖端的奇异应力场。通过相互作用积分，计算了各向同性和正交异性功能梯度材料的混合型应力强度因子。此外，网格的依赖性和周围的裂纹尖端的元素的数量大大减少与标准的有限元方法相比，具有相同的精度水平。模式I和混合模式断裂问题与各种类型的机械和热机械功能梯度材料的性能进行了模拟和讨论，以评估所提出的数值方法的精度和效率。良好的协议之间观察到的预测结果和文献中提供的参考结果与低得多的自由度。
A computational method based on the extended finite element method (XFEM) is implemented for fracture analysis of isotropic and orthotropic functionally graded materials (FGMs) under mechanical and steady state thermal loadings. The aim is set to include the thermal effects in loading, governing equations, and the interaction integral for inhomogeneous materials with a complementary study on available crack propagation criteria in orthotropic FGMs under thermal loading conditions. The isotropic and orthotropic crack tip enrichments are applied to reproduce the singular stress field near crack tips. Mixed-mode stress intensity factors are evaluated in isotropic and orthotropic FGMs by means of the interaction integral. In addition, the mesh dependency and number of elements around the crack tip are substantially reduced in comparison with the standard finite element method with the same level of accuracy. Both mode-I and mixed-mode fracture problems with various types of mechanical and thermo-mechanical functionally graded material properties are simulated and discussed to assess the accuracy and efficiency of the proposed numerical method. Good agreements are observed between the predicted results and the reference results available in the literature with far lower degrees of freedom.