Numerical insight of a variational smeared approach to cohesive fracture

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• 作者：F. Freddi^a ; ^{francesco.freddi@unipr.it} ; F. Iurlano^b
• 关键词：Cohesive fracture ; Phase field model ; Variational approach
• 刊名：Journal of the Mechanics and Physics of Solids
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：98
• 期：Complete
• 页码：156-171
• 全文大小：1173 K
• 卷排序：98

文摘

In the present paper we numerically investigate and validate a variational smeared model for cohesive crack, recently proposed and theoretically justified by Γ-convergence. To achieve this main goal, we first analyze the response of a bar subjected to traction. Possible solutions are discussed, reconstructing the classical cohesive fracture energy and its related stress-crack opening law through a backtracking procedure. Preliminary 2D investigations are also conducted by using a regularized version of the adopted formulation. This permits to explore the transition phase of the damage evolution and to determine the peculiarities of the model, such as mesh-objectivity and Γ-convergence as damage concentration is forced. Therefore, the numerical simulations confirm the analytical results and put the basis for further engineering applications and possible improvements of the model.