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V. N. Kukudzhanov, "Coupled models of elastoplasticity and damage and their integration," Mech. Solids. 41 (6), 83-109 (2006)
Year 2006 Volume 41 Number 6 Pages 83-109
Title Coupled models of elastoplasticity and damage and their integration
Author(s) V. N. Kukudzhanov (Moscow)
Abstract We present a survey of the modern state of art in coupled models of elastoplasticity and damage. We discuss different approaches (physical and thermodynamical) to the construction of damage models. We consider the relation between damage, softening, and rheological instability of nonelastic materials. We investigate the scale effect, present a well-posed statement of the problem and methods for regularizing ill-posed models, and consider elastoplastic models independent of the strain rate as well as elastoviscoplastic models depending on the strain rate. The focus is on theoretically constructed models taking into account void nucleation and growth in elastoplastic and elastoviscoplastic materials.

We suggest a new efficient numerical method for integrating coupled constitutive equations of plasticity with damage based on the splitting of elastoplastic equations. We implement this approach in modeling quasistatic and dynamic damage problems and compare this approach with the most perfect existing methods (used in modern FEM software) for integrating such problems.
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Received 19 September 2006
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