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Finite strain plasticity and damage in constitutive modeling of metals with spin tensors

Journal Article · · Applied Mechanics Reviews
DOI:https://doi.org/10.1115/1.3121396· OSTI ID:259036
;  [1]
  1. Louisiana State Univ., Baton Rouge, LA (United States)

The analysis of damage and plastic deformation in metals is very important towards the full understanding of the various damage mechanisms in these materials. A coupled theory of damage mechanics and finite strain plasticity is proposed. The theory is based on a sound mathematical and mechanical background and is thermodynamically consistent. It is formulated using spatial coordinates utilizing a von Mises type yield criterion with both isotropic and kinematic hardening. The derivation is based on the concept of effective stress that was originally proposed by Kachanov for the case of uniaxial tension. The plasticity model is first formulated in a fictitious undamaged configuration of the body. Then certain transformation equations are derived to transform this model into a damage-plasticity model in the damaged configuration of the body. Certain assumptions are made in order to make this transformation possible. These assumptions include small elastic strains and the hypothesis of elastic energy equivalence. 39 refs., 6 figs.

Sponsoring Organization:
USDOE
OSTI ID:
259036
Report Number(s):
CONF-911070--; CNN: Grant AFOSR-90-0227
Journal Information:
Applied Mechanics Reviews, Journal Name: Applied Mechanics Reviews Journal Issue: 3 Vol. 45; ISSN 0003-6900; ISSN AMREAD
Country of Publication:
United States
Language:
English

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