  Mechanics of Solids A Journal of Russian Academy of Sciences   Founded
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V. N. Kukudzhanov, "Coupled models of elastoplasticity and damage and their integration," Mech. Solids. 41 (6), 83109 (2006) 
Year 
2006 
Volume 
41 
Number 
6 
Pages 
83109 
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 wellposed
statement of the problem and methods for regularizing illposed 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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