详细研究了相场断裂方法的影响参数模型

Q1 Mathematics GAMM Mitteilungen Pub Date : 2019-08-22 DOI:10.1002/gamm.202000005
Carola Bilgen, Alena Kopaničáková, Rolf Krause, Kerstin Weinberg
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引用次数: 6

摘要

相场断裂分析方法在计算先验未知裂纹路径方面越来越受欢迎。在这项工作中,研究了这种相场方法相对于其模型特定参数的灵敏度,即正则化的临界长度,退化函数和迁移率。针对线弹性和有限弹性问题,研究了计算裂纹对这些参数设置的敏感性。进一步分析了不同解策略的收敛性。详细研究了非线性离散系统的整体解和交错解方案。最后,我们通过比较使用结构化和非结构化网格的不同贝壳状裂缝模拟,证明了相场压裂方法在现实问题中的通用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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A detailed investigation of the model influencing parameters of the phase-field fracture approach

Phase-field approaches to fracture are gaining popularity to compute a priori unknown crack paths. In this work the sensitivity of such phase-field approaches with respect to its model specific parameters, that is, the critical length of regularization, the degradation function and the mobility, is investigated. The susceptibility of the computed cracks to the setting of these parameters is studied for problems of linear and finite elasticity. Furthermore, the convergence properties of different solution strategies are analyzed. Monolithic and staggered solution schemes for the solution of the arising nonlinear discrete systems are studied in detail. To conclude, we demonstrate the versatility of the phase-field fracture approach in a real-world problem by comparing different simulations of conchoidal fracture using structured and unstructured meshes.

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来源期刊
GAMM Mitteilungen
GAMM Mitteilungen Mathematics-Applied Mathematics
CiteScore
8.80
自引率
0.00%
发文量
23
期刊最新文献
Issue Information Regularizations of forward-backward parabolic PDEs Parallel two-scale finite element implementation of a system with varying microstructure Issue Information Low Mach number limit of a diffuse interface model for two-phase flows of compressible viscous fluids
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