当前位置: X-MOL 学术Eng. Anal. Bound. Elem. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Coupled numerical analysis for in-plane elastic T-stress evaluation in isotropic FG solids
Engineering Analysis With Boundary Elements ( IF 3.3 ) Pub Date : 2020-08-17 , DOI: 10.1016/j.enganabound.2020.08.002
Amin Memari

This contribution establishes a coupled numerical method to show its effectiveness in the simulation of LEFM problems. The semi-meshless method uses the MLPG1 meshfree theory to discrete governing equations while geometry is modeled by simple CPS3 triangular cells. The cells help to propose an efficient neighboring method for meshfree interpolations. Three benchmark homogeneous cases are considered whose analytical solutions are available to carefully examine the accuracy of this method and validate the numerical implementation by comparing relative errors in terms of error norms, crack onset angle and also fracture parameters, i.e. KI, KII and T-stress that characterize the crack tip condition. Good computational accuracy is observed in this article. Three FG structures by simple linear, exponential and complex hyperbolic-tangent gradations are taken from the literature and investigated under thermo-mechanical conditions. A thermal barrier coating with an FG structure is also modeled. Then, fracture parameters and crack growth angles with and without considering T-stress are compared with FE solutions. Generalized maximum tangential stress (GMTS) criterion and interaction integral method are used to respectively compute crack growth angle and capture T.



中文翻译:

各向同性FG固体的面内弹性T应力评估的耦合数值分析

这一贡献建立了一种耦合数值方法,以证明其在模拟LEFM问题中的有效性。半无网格方法使用MLPG1无网格理论离散控制方程,而几何图形则由简单的CPS3三角形单元建模。这些单元有助于为无网格插值提出一种有效的相邻方法。考虑了三种基准均质情况,其解析解可用于仔细检查该方法的准确性并通过比较相对误差来确定该方法的准确性,所述相对误差包括误差范数,裂纹起始角度以及断裂参数,即K IK IIT裂纹尖端条件特征的应力。本文观察到良好的计算精度。从文献中获得了由简单线性,指数和复杂双曲正切渐变组成的三种FG结构,并在热机械条件下对其进行了研究。还对具有FG结构的隔热涂层进行了建模。然后,将具有和不考虑T应力的断裂参数和裂纹扩展角度与有限元解决方案进行比较。广义最大切向应力(GMTS)准则和交互积分法分别用于计算裂纹生长角度及捕获Ť

更新日期:2020-08-17
down
wechat
bug