Young-measure quasi-static damage evolution: The nonconvex and the brittle cases

Alice Fiaschi

doi:10.3934/dcdss.2013.6.17

Article Contents

2013, Volume 6, Issue 1: 17-42. Doi: 10.3934/dcdss.2013.6.17

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Young-measure quasi-static damage evolution: The nonconvex and the brittle cases

Alice Fiaschi^1,

1.
IMATI-CNR, v. Ferrata 1, I-27100, Pavia

Received: April 30, 2011

Revised: August 31, 2011

Published: January 2013

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Abstract

A rate-independent model for incomplete damage is considered, with nonconvex energy density, mixed boundary condition, and nonzero external load, both for non-brittle and brittle materials. An existence result for a Young measure quasi-static evolution is proved.

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Mathematics Subject Classification: Primary: 74B20, 74R20, 28A33; Secondary: 74R05, 49J45.

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