Abstract
We present energetic and strain-threshold models for the quasi-static evolution of brutal brittle damage for geometrically-linear elastic materials. By allowing for anisotropic elastic moduli and multiple damaged states we present the issues for the first time in a truly elastic setting, and show that the threshold methods developed in (Garroni, A., Larsen, C. J., Threshold-based quasi-static brittle damage evolution, Archive for Rational Mechanics and Analysis 194 (2), 585–609, 2009) extend naturally to elastic materials with non-interacting damage. We show the existence of solutions and that energetic evolutions are also threshold evolutions.
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Communicated by K. Bhattacharya
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Chenchiah, I.V., Larsen, C.J. Quasi-Static Brittle Damage Evolution in Elastic Materials with Multiple Damaged States. Arch Rational Mech Anal 215, 831–866 (2015). https://doi.org/10.1007/s00205-014-0795-0
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DOI: https://doi.org/10.1007/s00205-014-0795-0