Large Deformation FEA

A self-consistent Eulerian rate form of finite deformation elastoplasticity and its finite element implementation is the main focus of the current research. Applications of such a consistent model in constitutive modeling of ductile damage of materials is considered.

plane strain four step loading
Deviatoric Cauchy stress components produced by plane strain four step loading

References

1.    Eshraghi A., Papoulia K., Jahed H., 2012, "Eulerian Framework for Inelasticity Based on the Jaumann Rate and a Hyperelastic Constitutive Relation. Part I. Rate-Form Hyperelasticity," Journal of Applied Mechanics, in press.

2.    Eshraghi A., Jahed H., Papoulia K., 2012, "Eulerian Framework for Inelasticity Based on the Jaumann Rate and a Hyperelastic Constitutive Relation. Part II. Finite Strain Elastoplasticity," Journal of Applied Mechanics, in press.

3.    Eshraghi M.A., Jahed H., Lambert S., A Lagrangian Model for Hardening Behaviour of Materials at Finite Deformation based on the Right Plastic Stretch Tensor, Journal of Materials and Design, Vol. 31, 2010, pp. 2342-2354

4.    Eshraghi A, " Finite Strain Elastoplasticity: Consistent Eulerian and Lagrangian Approaches ", PhD thesis, Univeristy of Waterloo, May 2009.

5.    Eshraghi A, Jahed H and Lambert S , " A Finite Deformation Constitutive Model for the Prediction of Cyclic Behaviour of Shape Memory Alloys ," 12th International Conference on Fracture , Ottawa, Canada, June 2009.

6.    Amin Eshraghi, Hamid Jahed and Steve Lambert , " Rate Type Constitutive Models and Their Applications in Finite Elasto-Plasticity ," 3rd Canadian Conference on Nonlinear Solid Mechanics, CanCNSM 2008 , June 2008, Toronto, Canada, pp. 303-311.

7.    Amin Eshraghi, Hamid Jahed and Steve Lambert , " Generalized Hypo-Elasticity for Arbitrary Stress Rates ," The international conference of plasticity 2008 , January 08, Kona, Hawaii.