A quasistatic mixed-mode delamination model

Tomáš Roubíček; V. Mantič; C. G. Panagiotopoulos

doi:10.3934/dcdss.2013.6.591

Article Contents

2013, Volume 6, Issue 2: 591-610. Doi: 10.3934/dcdss.2013.6.591

This issue Previous Article Pseudo-potentials and bipotential: A constructive procedure for non-associated plasticity and unilateral contact Next Article

A quasistatic mixed-mode delamination model

1.
Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8
2.
Group of Elasticity and Strength of Materials, Dept. of Continuum Mechanics, School of Engineering, University of Seville, Camino de los Descubrimientos s/n, ES-41092 Sevilla

Received: May 31, 2011

Revised: October 31, 2011

Published: March 2013

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Abstract

The quasistatic rate-independent evolution of delamination in the so-called mixed-mode, i.e. distinguishing opening (mode I) from shearing (mode II), devised in [45], is described in detail and rigorously analysed as far as existence of the so-called energetic solutions concerns. The model formulated at small strains uses a delamination parameter of Frémond's type combined with a concept of interface plasticity, and is associative in the sense that the dissipative force driving delamination has a potential which depends in a 1-homogeneous way only on rates of internal parameters. A sample numerical simulation documents that this model can really produce mode-mixity-sensitive delamination.

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Mathematics Subject Classification: Primary: 35K85; Secondary: 49S05, 74R20.

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