Computational Implementation of an Internal Time Constitutive Equations in Finite Deformation Plasticity

1988 ◽  
pp. 491-494
Author(s):  
S. Im ◽  
S. N. Atluri
Keyword(s):  
Finite Deformation ◽  
Constitutive Equations ◽  
Internal Time ◽  
Computational Implementation ◽  
Deformation Plasticity

Using Objects to Model Finite Deformation Plasticity

1999 ◽  
Vol 15 (1) ◽  
pp. 37-60 ◽  
Author(s):  
N. Zabaras ◽  
A. Srikanth
Keyword(s):  
Finite Deformation ◽  
Deformation Plasticity

A Finite Deformation Theory of Viscoplasticity Based on Overstress: Part I—Constitutive Equations

1990 ◽  
Vol 57 (3) ◽  
pp. 548-552 ◽  
Author(s):  
I. Nishiguchi ◽  
T.-L. Sham ◽  
E. Krempl
Keyword(s):  
Finite Deformation ◽  
Constitutive Equations ◽  
Deformation Theory ◽  
Rate Sensitivity ◽  
Second Order ◽  
Stress Rate ◽  
Order Effects ◽  
Additive Decomposition ◽  
Elastic Part ◽  
Finite Deformation Theory

The viscoplasticity theory based on overstress (VBO) is extended to finite deformation (FVBO). Yield surfaces and loading/unloading conditions are not part of this theory which represents creep, relaxation, and rate sensitivity in a “unified” way. Additive decomposition of the rate of deformation into the elastic and the inelastic parts is assumed. For the elastic part, the hypoelastic relation is used. For the inelastic part, the flow law of VBO is augmented by a term quadratic in the overstress together with a modified Jaumann stress rate which jointly or separately allow the modeling of second-order effects.

scholarly journals Logarithmic Spin, Logarithmic Rate and Material Frame-Indifferent Generalized Plasticity

2016 ◽  
Vol 08 (05) ◽  
pp. 1650060 ◽  
Author(s):  
D. Soldatos ◽  
S. P. Triantafyllou
Keyword(s):  
Constitutive Equations ◽  
Integration Scheme ◽  
Spatial Form ◽  
Numerical Examples ◽  
Material Frame Indifference ◽  
Generalized Plasticity ◽  
Analysis On Manifolds ◽  
Computational Implementation ◽  
Material Frame ◽  
Rate Type

In this work, we present a new rate type formulation of large deformation generalized plasticity which is based on the consistent use of the logarithmic rate concept. For this purpose, the basic constitutive equations are initially established in a local rotationally neutralized configuration which is defined by the logarithmic spin. These are then rephrased in their spatial form, by employing some standard concepts from the tensor analysis on manifolds. Such an approach, besides being compatible with the notion of (hyper)elasticity, offers three basic advantages, namely: (i) The principle of material frame-indifference is trivially satisfied. (ii) The structure of the infinitesimal theory remains essentially unaltered. (iii) The formulation does not preclude anisotropic response. A general integration scheme for the computational implementation of generalized plasticity models which are based on the logarithmic rate is also discussed. The performance of the scheme is tested by two representative numerical examples.

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