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Adaptive and highly accurate numerical treatment for a gradient‐enhanced brittle damage model
International Journal for Numerical Methods in Engineering ( IF 2.7 ) Pub Date : 2020-03-29 , DOI: 10.1002/nme.6349
Andreas Vogel 1 , Philipp Junker 2
Affiliation  

We present an adaptive numerical treatment for a recently published model for brittle damage with gradient enhancement. We employ adaptive strategies both in time and space, yielding detailed investigations of the convergence behavior: the damage distribution can be resolved with very high accuracy, turning the damage behavior into cracks known from fracture mechanics. Although the localization is extreme, mesh‐independent results are obtained thanks to the spatial adaptivity and allow for a detailed investigation of the influence of the regularization parameter.

中文翻译:

梯度增强的脆性损伤模型的自适应高精度数值处理

我们为最近发布的带有梯度增强的脆性损伤模型提供自适应数值处理。我们在时间和空间上都采用了自适应策略,对收敛行为进行了详细的研究:可以非常高精度地解决损伤分布,将损伤行为转变为断裂力学中已知的裂纹。尽管局部化是极端的,但由于具有空间适应性,因此可以获得独立于网格的结果,并可以详细研究正则化参数的影响。
更新日期:2020-03-29
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