Quasistatic crack growth based on viscous approximation: a model with branching and kinking

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• 作者：Vito Crismale…
• 关键词：Brittle fracture ; Crack propagation ; Free ; discontinuity problems ; Vanishing viscosity ; Local minimizers ; Griffith’s criterion ; Energy release rate
• 刊名：Nonlinear Differential Equations and Applications NoDEA
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：24
• 期：1
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis;
• 出版者：Springer International Publishing
• ISSN：1420-9004
• 卷排序：24

文摘

Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions of cracks in brittle materials in the setting of antiplane shear. The crack path is not prescribed a priori and is chosen in an admissible class of piecewise regular sets that allows for branching and kinking.