scholarly journals Implicit integration scheme for porous viscoplastic potential-based constitutive equations

2011 ◽  
Vol 10 ◽  
pp. 1544-1549 ◽  
Author(s):  
S. Msolli ◽  
O. Dalverny ◽  
J. Alexis ◽  
M. Karama
Keyword(s):  
Constitutive Equations ◽  
Integration Scheme ◽  
Implicit Integration

Incrementally objective implicit integration of hypoelastic–viscoplastic constitutive equations based on the mechanical threshold strength model

2013 ◽  
Vol 53 (5) ◽  
pp. 941-955 ◽  
Author(s):  
Hashem M. Mourad ◽  
Curt A. Bronkhorst ◽  
Francis L. Addessio ◽  
Carl M. Cady ◽  
Donald W. Brown ◽  
...  
Keyword(s):  
Constitutive Equations ◽  
Strength Model ◽  
Implicit Integration ◽  
Mechanical Threshold ◽  
Threshold Strength

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.

scholarly journals Development of a continuum plasticity model for the commercial finite element code ABAQUS

2011 ◽  
Vol 2 (2) ◽  
pp. 275-283
Author(s):  
M. Safaei ◽  
W. De Waele
Keyword(s):  
Finite Element ◽  
Yield Surface ◽  
Euler Method ◽  
Integration Scheme ◽  
Isotropic Hardening ◽  
Implicit Integration ◽  
Backward Euler ◽  
User Material Subroutine ◽  
Von Mises ◽  
Future Work

The present work relates to the development of computational material models for sheet metalforming simulations. In this specific study, an implicit scheme with consistent Jacobian is used forintegration of large deformation formulation and plane stress elements. As a privilege to the explicitscheme, the implicit integration scheme is unconditionally stable. The backward Euler method is used toupdate trial stress values lying outside the yield surface by correcting them back to the yield surface atevery time increment. In this study, the implicit integration of isotropic hardening with the von Mises yieldcriterion is discussed in detail. In future work it will be implemented into the commercial finite element codeABAQUS by means of a user material subroutine.

Sign in / Sign up

Export Citation Format

Share Document