Variational and projection methods for the volume constraint in finite deformation elasto-plasticity

1985 ◽  
Vol 51 (1-3) ◽  
pp. 177-208 ◽  
Author(s):  
J.C. Simo ◽  
R.L. Taylor ◽  
K.S. Pister
Keyword(s):  
Finite Deformation ◽  
Projection Methods ◽  
Volume Constraint ◽  
Elasto Plasticity

A Presentation and Comparison of Two Large Deformation Viscoelasticity Models

1997 ◽  
Vol 119 (3) ◽  
pp. 251-255 ◽  
Author(s):  
Sanjay Govindjee ◽  
Stefanie Reese
Keyword(s):  
Large Deformation ◽  
Plane Strain ◽  
Finite Deformation ◽  
Strain Relaxation ◽  
Elastic Equilibrium ◽  
Alternative Formulation ◽  
Small Perturbations ◽  
Elasto Plasticity

In this paper we present a theory of finite deformation viscoelasticity. The presentation is not restricted to small perturbations from the elastic equilibrium in contrast to many viscoelasticity theories. The fundamental hypothesis of our model is the multiplicative viscoelastic decomposition of Sidoroff (1974). This hypothesis is combined with the assumption of a viscoelastic potential to give a model that is formally similar to finite associative elasto-plasticity. Examples are given to compare the present proposal to an alternative formulation in the literature for the cases of uniaxial plane strain relaxation and creep.

Sign in / Sign up

Export Citation Format

Share Document