Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization

2017 ◽  
Vol 49 (2) ◽  
pp. 1356-1384 ◽  
Author(s):  
D. Grandi ◽  
U. Stefanelli
Keyword(s):  
Finite Plasticity

Mini-Workshop: Analysis and Computation of Microstructures in Finite Plasticity

2005 ◽  
pp. 2979-3018
Author(s):  
Klaus Hackl ◽  
Sergio Conti ◽  
Michael Ortiz
Keyword(s):  
Finite Plasticity

RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS

2013 ◽  
Vol 23 (11) ◽  
pp. 2111-2128 ◽  
Author(s):  
SERGIO CONTI ◽  
GEORG DOLZMANN ◽  
CAROLIN KREISBECK
Keyword(s):  
Three Dimensional ◽  
Material Behavior ◽  
Variational Model ◽  
Geometrically Nonlinear ◽  
Slip Systems ◽  
Two Dimensional ◽  
Finite Plasticity ◽  
Elasto Plasticity ◽  
Moduli Of Elasticity ◽  
Active Slip

The macroscopic material response of a variational model in geometrically nonlinear elasto-plasticity with two active slip systems, rigid elasticity, and hardening is determined. In particular, an explicit formula for the relaxation of the underlying energy density is given, both in the two-dimensional and a related three-dimensional setting. Finally, it is shown that the assumption of elastically rigid material behavior is justified since models with rigid elasticity can be obtained as Γ-limits of models with finite elastic energy for diverging moduli of elasticity.

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