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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Mesh objective tensile cracking via a local continuum damage model and a crack tracking technique
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Mesh objective tensile cracking via a local continuum damage model and a crack tracking technique

机译：通过局部连续损伤模型和裂纹跟踪技术的网格目标拉伸裂纹

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摘要

This paper describes a procedure for the solution of problems involving tensile cracking using the so-called smeared crack approach, that is, standard finite elements with continuous displacement fields and a standard local constitutive model with strain-softening. An isotropic Rankine damage model is considered. The softening modulus is adjusted according to the material fracture energy and the element size. The resulting continuum and discrete mechanical problems are analyzed and the question of predicting correctly the direction of crack propagation is deemed as the main difficulty to be overcome in the discrete problem. It is proposed to use a crack tracking technique to attain the desired stability and convergence properties of the corresponding formulation. Numerical examples show that the resulting procedure is well-posed, stable and remarkably robust; the results obtained do not seem to suffer from spurious mesh-size or mesh-bias dependence.
机译：本文介绍了使用所谓的拖尾裂纹法（smeared crack method）解决涉及拉伸裂纹的问题的程序，即带有连续位移场的标准有限元和带有应变软化的标准局部本构模型。考虑了各向同性的兰金损伤模型。根据材料的断裂能和元件尺寸调节软化模量。分析了由此产生的连续和离散力学问题，正确预测裂纹扩展方向的问题被认为是离散问题中要克服的主要困难。建议使用裂纹跟踪技术来获得相应配方的所需稳定性和收敛性。数值算例表明，所得程序具有良好的定位性，稳定性和鲁棒性。所获得的结果似乎不受伪造的网格大小或网格偏差的影响。

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