Phase‐field approach to fracture for finite‐deformation contact problems
Phase‐field approach to fracture for finite‐deformation contact problems
复制标题
有限变形接触问题的断裂相场方法
DOI：
10.1002/pamm.201610050
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Dittmann
中科院分区：
文献类型：
--
作者：
M. Franke;C. Hesch;M. Dittmann
本贡献涉及应用于有限变形相场断裂方法的变分一致Mortar接触算法，参见[4]。相场方法允许对三维问题的复杂断裂模式进行数值模拟，最近扩展到有限变形（更多细节见[2]）。简而言之，相场方法依赖于尖锐（断裂）界面的正则化。为了提高精度，考虑了四阶Cahn-Hilliard相场方程，需要全局C1连续性（参见[1]），这将使用等几何分析（伊加）框架进行处理。此外，应用新开发的分层细化方案来解决局部物理现象，例如接触区（更多详细信息请参见[3]）。Mortar方法是一种实现接触边界的现代且非常精确的数值方法。这种方法可以直接扩展到瞬态相场断裂问题。所提出的方法的性能将在一个有代表性的数值例子中进行检查。（© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
The present contribution deals with a variationally consistent Mortar contact algorithm applied to a phase‐field fracture approach for finite deformations, see [4]. A phase‐field approach to fracture allows for the numerical simulation of complex fracture patterns for three dimensional problems, extended recently to finite deformations (see [2] for more details). In a nutshell, the phase‐field approach relies on a regularization of the sharp (fracture‐) interface. In order to improve the accuracy, a fourth‐order Cahn‐Hilliard phase‐field equation is considered, requiring globalC1continuity (see [1]), which will be dealt with using an isogeometrical analysis (IGA) framework. Additionally, a newly developed hierarchical refinement scheme is applied to resolve for local physical phenomena e.g. the contact zone (see [3] for more details). The Mortar method is a modern and very accurate numerical method to implement contact boundaries. This approach can be extended in a straightforward manner to transient phase‐field fracture problems. The performance of the proposed methods will be examined in a representative numerical example. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
影响因子：
2.9
作者：
C. Hesch;K. Weinberg
通讯作者：
C. Hesch;K. Weinberg