Elasto-plasticity model in structural optimization of composite materials with periodic microstructures

2007 ◽  
Vol 74 (6) ◽  
pp. 468-480 ◽  
Author(s):  
Ronald H.W. Hoppe ◽  
Svetozara I. Petrova
Keyword(s):  
Composite Materials ◽  
Structural Optimization ◽  
Plasticity Model ◽  
Elasto Plasticity ◽  
Periodic Microstructures

Application of generalized measures to an orthotropic finite elasto-plasticity model

2003 ◽  
Vol 28 (3-4) ◽  
pp. 696-703 ◽  
Author(s):  
J Löblein ◽  
J Schröder ◽  
F Gruttmann
Keyword(s):  
Plasticity Model ◽  
Elasto Plasticity

Bifurcation Analyses of Steel and Concrete with Rate-Dependent Properties Part One: Model Formulation and Verification

2002 ◽  
Vol 4 (4) ◽  
pp. 217-224
Author(s):  
Yuxing Liu ◽  
Luming Shen ◽  
Zhen Chen
Keyword(s):  
Damage Model ◽  
Three Dimensional ◽  
Plain Concrete ◽  
Environmental Engineering ◽  
Material Failure ◽  
Plasticity Model ◽  
Model Formulation ◽  
University Of Missouri ◽  
Rate Dependent ◽  
Elasto Plasticity

Department of Civil and Environmental Engineering, University of Missouri-Columbia, Columbia MO 65211–2200, U.S.A. The effects of strain rate on the mechanical properties of carbon steel and plain concrete are investigated through a rate-dependent elasto-plasticity model and rate-dependent elasto-damage model, respectively. Continuum tangent stiffness tensors are derived for both models so that bifurcation analyses can be performed to identify the onset of material failure. Three-dimensional constitutive model solvers are designed and the numerical results are compared with the experimental data to verify the proposed models.

Thermodynamically Consistent Anisotropic Plasticity Model

2006 ◽  
Author(s):  
Alexander A. Lukyanov
Keyword(s):  
Stress Tensor ◽  
Material Properties ◽  
Main Role ◽  
Plasticity Model ◽  
Anisotropic Plasticity ◽  
Future Studies ◽  
Hill Criterion ◽  
Kronecker Delta ◽  
Elasto Plasticity ◽  
Deviatoric Part

The objective of the work presented in this paper is to consider the thermodynamically consistent anisotropic plasticity model based on full decomposition of stress tensor into generalised deviatoric part and generalised spherical part of stress tensor. Two fundamental tensors αij and βij which represents anisotropic material properties are defined and can be considered as generalisations of the Kronecker delta symbol which plays the main role in the theory of isotropic materials. Using two fundamental tensors, αij and βij, the concept of total generalised “pressure” and pressure corresponding to the volumetric deformation are redefined. It is shown that the formulation of anisotropic plasticity in the case of incompressible plastic flow must be considered independently from the generalised hydrostatic “pressure”. Accordingly, a modification to the anisotropic Hill criterion is introduced. Based on experimental research which has been published, the modified Hill (1948, 1950) criterion for anisotropic elasto-plasticity is validated. The results are presented, discussed and future studies are outlined.

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