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Coupled numerical analysis for in-plane elastic T-stress evaluation in isotropic FG solids

机译：各向同性FG固体面内弹性T应力评估耦合数值分析

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摘要

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. K_Ⅰ K_Ⅱ 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.
机译：该贡献建立了耦合的数值方法，以表明其在液晶问题模拟中的有效性。半无网格方法使用MLPG1网格理论在离散的控制方程中，而几何形状由简单的CPS3三角形电池建模。细胞有助于提出一种用于网上插值的有效邻接方法。考虑三个基准均匀案例被认为是其分析解决方案可仔细检查该方法的准确性并通过在误差规范，裂纹发作角度和裂缝参数方面进行比较来验证数值实现，即K_ⅠK_Ⅱ和T应力表征裂缝尖端条件。本文中观察到良好的计算准确性。通过简单的线性，指数和复杂的双曲线切线渐变的三种FG结构取自文献，并在热机械条件下进行研究。还建模了具有FG结构的热阻挡涂层。然后，将骨折参数和裂缝生长角度与Fe溶液进行比较。广义最大切向应力（GMTS）标准和相互作用积分方法用于分别计算裂纹生长角和捕获T.

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  • 来源
    《Engineering analysis with boundary elements》 |2020年第11期|1-12|共12页
  • 作者

    Amin Memari;

  • 作者单位

    Department of Mechanical Engineering University of Tabriz 29 Bahman Blvd. PO Box 5166616471 Tabriz Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    T-stress; Meshless; Coupling; GMTS;

    机译：T-ress;无丝毫;耦合;格林斯队;

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