Archive for Rational Mechanics and Analysis

, Volume 215, Issue 3, pp 831–866 | Cite as

Quasi-Static Brittle Damage Evolution in Elastic Materials with Multiple Damaged States

  • Isaac Vikram Chenchiah
  • Christopher J. Larsen


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.


Elastic Modulus Damage Evolution Damage Cost Threshold Formulation Worcester Polytechnic Institute 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Isaac Vikram Chenchiah
    • 1
  • Christopher J. Larsen
    • 2
  1. 1.School of MathematicsUniversity of Bristol, University WalkBristolUK
  2. 2.Department of Mathematical SciencesWorcester Polytechnic InstituteWorcesterUSA

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