A numerical study of void coalescence and fracture in nonlinear elasticity

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• 作者：Duvan Henao^a ; ^{dhenao@mat.puc.cl" class="auth_mail" title="E-mail the corresponding author} ; Carlos Mora-Corral^b ; ^{carlos.mora@uam.es" class="auth_mail" title="E-mail the corresponding author} ; Xianmin Xu^c ; ^{xmxu@lsec.cc.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Cavitation ; Fracture ; Void coalescence ; Nonlinear elasticity ; ΓΓ-convergence ; Ambrosio&ndash ; Tortorelli approximation
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：303
• 期：Complete
• 页码：163-184
• 全文大小：11192 K

文摘

We present a numerical implementation of a model for void coalescence and fracture in nonlinear elasticity. The model is similar to the Ambrosio–Tortorelli regularization of the standard free-discontinuity variational model for quasistatic brittle fracture. The main change is the introduction of a nonlinear polyconvex energy that allows for cavitation. This change requires new analytic and numerical techniques. We propose a numerical method based on alternating directional minimization and a stabilized Crouzeix–Raviart finite element discretization. The method is used in several experiments, including void coalescence, void creation under tensile stress, failure in perfect materials and in materials with hard inclusions. The experimental results show the ability of the model and the numerical method to study different failure mechanisms in rubber-like materials.