Finite Element solution of the fiber/matrix interface crack problem

Convergence properties and mode mixity of the Virtual Crack Closure Technique

Document identifier: oai:DiVA.org:ltu-76252
Access full text here:10.1016/j.finel.2019.103332
Keyword: Engineering and Technology, Materials Engineering, Composite Science and Engineering, Teknik och teknologier, Materialteknik, Kompositmaterial och -teknik, Fiber/matrix interface crack, Bi-material interface arc crack, Linear Elastic Fracture Mechanics (LEFM), Virtual Crack Closure Technique (VCCT), Mode separation, Convergence, Polymeric Composite Materials, Polymera kompositmaterial
Publication year: 2019
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Abstract:

The bi-material interface arc crack has been the focus of interest in the composite community, where it is usually referred to as the fiber-matrix interface crack. In this work, we investigate the convergence properties of the Virtual Crack Closure Technique (VCCT) when applied to the evaluation of the Mode I, Mode II and total Energy Release Rate of the fiber-matrix interface crack in the context of the Finite Element Method (FEM). We first propose a synthetic vectorial formulation of the VCCT. Thanks to this formulation, we study the convergence properties of the method, both analytically and numerically. It is found that Mode I and Mode II Energy Release Rate (ERR) possess a logarithmic dependency with respect to the size of the elements in the crack tip neighborhood, while the total ERR is independent of element size.

Authors

Luca Di Stasio

Luleå tekniska universitet; Materialvetenskap; IJL, EEIGM, Université de Lorraine
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Zoubir Ayadi

IJL, EEIGM, Université de Lorraine
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