A -integral-based arc-length solver for brittle and ductile crack propagation in finite deformation-finite strain hyperelastic solids with an application to graphene kirigami

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• 作者：Ettore Barbieri^a ; ^{e.barbieri@qmul.ac.uk} ; Federica Ongaro^a ; Nicola Maria Pugno^b ; ^c ; ^a
• 关键词：Arc-length ; Fracture ; Hyperelastic ; Numerical continuation ; Graphene ; Kirigami
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：713-743
• 全文大小：2760 K
• 卷排序：315

文摘

We present a new path-following method for crack propagation in hyperelastic media. It provides an explicit formula of the JJ-integral for different propagation angles. It reconciles with the theory of configurational forces and Griffith’s balance. This arc-length can handle very sharp snap-back paths in the equilibrium curve. We present an example to fracture in large strains of graphene kirigami sheets.