Localization Analysis in Finite Deformation Elasto-Plasticity

Finite Inelastic Deformations — Theory and Applications ◽

10.1007/978-3-642-84833-9_29 ◽

1992 ◽

pp. 323-332

Author(s):

Paul Steinmann ◽

Kaspar Willam

Keyword(s):

Finite Deformation ◽

Elasto Plasticity ◽

Localization Analysis

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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(85)90033-7 ◽

1985 ◽

Vol 51 (1-3) ◽

pp. 177-208 ◽

Cited By ~ 509

Author(s):

J.C. Simo ◽

R.L. Taylor ◽

K.S. Pister

Keyword(s):

Finite Deformation ◽

Projection Methods ◽

Volume Constraint ◽

Elasto Plasticity

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On a New Concept and Foundations of an Arbitrary Reference Configuration (ARC) Theory and Formulation for Computational Finite Deformation Applications—Part II: Elasto-Plasticity

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502280600790314 ◽

2006 ◽

Vol 7 (5) ◽

pp. 353-367 ◽

Cited By ~ 1

Author(s):

X. Zhou ◽

D. Sha ◽

K. K. Tamma

Keyword(s):

Finite Deformation ◽

Reference Configuration ◽

Arbitrary Reference ◽

Elasto Plasticity

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Inverse asymptotic solution method for finite deformation elasto-plasticity

Applied Mathematics and Mechanics ◽

10.1007/bf00132796 ◽

1997 ◽

Vol 18 (11) ◽

pp. 1029-1036 ◽

Cited By ~ 1

Author(s):

Chen Zhida

Keyword(s):

Asymptotic Solution ◽

Finite Deformation ◽

Solution Method ◽

Asymptotic Solution Method ◽

Elasto Plasticity

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A Presentation and Comparison of Two Large Deformation Viscoelasticity Models

Journal of Engineering Materials and Technology ◽

10.1115/1.2812252 ◽

1997 ◽

Vol 119 (3) ◽

pp. 251-255 ◽

Cited By ~ 69

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.

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