Viscoplastic constitutive modeling of polymers-Flow rules and the plane strain response

2009 ◽  
Vol 111 (3) ◽  
pp. 1190-1198 ◽  
Author(s):  
J. Sweeney ◽  
S. Naz ◽  
P. D. Coates
Keyword(s):  
Plane Strain ◽  
Constitutive Modeling ◽  
Strain Response

Modeling of Cyclic Plane Strain Response of Toyoura Sand

2010 ◽  
Author(s):  
Md. Raquibul Hossain ◽  
Mohammed Saiful Alam Siddiquee ◽  
Syed Ishtiaq Ahmad
Keyword(s):  
Plane Strain ◽  
Strain Response ◽  
Toyoura Sand

Constitutive Modeling Based on Evolutionary Multi-Junctions of Dislocations

2014 ◽  
Vol 611-612 ◽  
pp. 1771-1776 ◽  
Author(s):  
Minh Son Pham ◽  
Anthony D. Rollett ◽  
Adam Creuziger ◽  
Mark Iadicola ◽  
Tim Foecke
Keyword(s):  
Plane Strain ◽  
Yield Surface ◽  
Constitutive Modeling ◽  
Texture Evolution ◽  
Short Term ◽  
Hardening Model ◽  
Plastic Model ◽  
Self Consistent ◽  
Latent Hardening ◽  
Multiple Interactions

A latent hardening model based on binary junction-induced hardening can effectively describe the anisotropy measured in multiaxial tests. However, this approach still has some descriptive and predictive limitations. Recent findings show that binary junctions generated by interactions of pairs of dislocations can only induce short-term hardening effect due to the unzipping process of binary junctions. By contrast, multi-junctions, which are formed via multiple interactions of dislocations, can exert a strong and enduring influence on the hardening of polycrystals. In this study, we extend the modeling of dislocation junctions from the binary to multi-junctions, and implement this evolution into a self-consistent visco-plastic model. An application of this model for predicting the yield surface and texture evolution of AA5754 during uniaxial and plane strain loadings is given as a demonstration of the capabilities of the evolutionary binary-multi junction approach.

Constitutive Modeling of Metals Under Nonproportional Cyclic Loading

1991 ◽  
Vol 113 (1) ◽  
pp. 23-30 ◽  
Author(s):  
S. H. Doong ◽  
D. F. Socie
Keyword(s):  
Cyclic Loading ◽  
Constitutive Modeling ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Strain History ◽  
Strain Response ◽  
Hardening Model ◽  
Softening Behavior ◽  
Stress Plane ◽  
Deformation Features

A two-surface kinematic hardening model for the stress-strain response of metals under nonproportional tension-torsion cyclic loading is developed and verified with critical experiments. In this model, both the yield and limit surfaces are assumed to be ellipses in the two-dimensional stress plane to account for anisotropic cyclic hardening. Areas of the yield and limit surfaces are changed in order to model the overall isotropic cyclic hardening (or softening) behavior. The strength anisotropy is modeled by changing the ellipticity and orientation of the elliptical surfaces with respect to the stress axes. A nonproportionality parameter based on the plastic strain history is developed to estimate the cyclic hardening level under nonproportional loading. It is shown that this model is able to model a number of important deformation features of metals under complex nonproportional cyclic loading.

Constitutive Modeling for Design and Control of Magnetostrictive Galfenol Devices

2008 ◽  
Vol 54 ◽  
pp. 13-18 ◽  
Author(s):  
Marcelo J. Dapino ◽  
Phillip G. Evans
Keyword(s):  
Constitutive Model ◽  
Nonlinear Model ◽  
Constitutive Modeling ◽  
Second Law ◽  
Strain Response ◽  
Continuum Thermodynamics ◽  
Eddy Current Losses ◽  
Nonlinear Constitutive Model ◽  
And Control ◽  
Magnetostrictive Galfenol

A dynamic, nonlinear model for magnetic induction and strain response of cubic magnetostrictive materials to 3-D dynamic magnetic fields and 3-D stresses is developed. Dynamic eddy current losses and inertial stresses are modeled by coupling Maxwell’s equations to Newton’s second law through a nonlinear constitutive model. The constitutive model is derived from continuum thermodynamics.

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