Mechanical Representation of Damage and Damage Variables

  • Sumio MurakamiEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 185)


The procedure of the continuum damage mechanics is to represent first the damage state of a material in terms of properly defined damage variables, and then to describe the mechanical behavior of the damaged material and the further development of the damage by the use of these damage variables. In Section 2.1, methods of the mechanical modeling of material damage are described in the case of uniaxial state of stress. Then Section 2.2 is concerned with extensive discussion of the three-dimensional modeling of material damage and the resulting damage variables, because this is one of the most important problems to secure the reliability of the continuum damage mechanics. The mechanical behavior of a damaged material is usually described by using the notion of the effective stress, together with the hypothesis of mechanical equivalence between the damaged and the undamaged material.


Effective Stress Representative Volume Element Damage State Damage Variable Strain Energy Function 
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© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Nagoya UniversityNagoyaJapan

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