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The scaled boundary finite element method for the efficient modeling of linear elastic fracture

机译:用于线性弹性断裂有效建模的比例边界有限元方法

摘要

In this work, a study of computational and implementational efficiency is presented, on the treatment of Linear Elastic Fracture Mechanics (LEFM) problems. To this end, the Scaled Boundary Finite Element Method (SBFEM), is compared against the popular eXtended Finite Element Method (XFEM) and the standard FEM approach for efficient calculation of Stress Intensity Factors (SIFs). The aim is to examine SBFEM’s potential for inclusion within a multiscale fracture mechanics framework. The above features will be exploited to solve a series of benchmarks in LEFM comparing XFEM, SBFEM and commercial FEM software to analytical solutions. The extent to which the SBFEM lends itself for inclusion within a multiscale framework will further be assessed.
机译:在这项工作中,对线性弹性断裂力学(LEFM)问题的处理进行了计算和实现效率的研究。为此,将比例边界有限元方法(SBFEM)与流行的扩展有限元方法(XFEM)和用于有效计算应力强度因子(SIF)的标准FEM方法进行了比较。目的是研究SBFEM在多尺度断裂力学框架中的潜在可能性。上述功能将用于解决LEFM中的一系列基准,将XFEM,SBFEM和商业FEM软件与分析解决方案进行比较。 SBFEM在多尺度框架内的适应程度将得到进一步评估。

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