TY - JOUR

T1 - Plastic deformation induced microstructure evolution through gradient enhanced crystal plasticity based on a non-convex Helmholtz energy

AU - Klusemann, Benjamin

AU - Yalçinkaya, Tuncay

PY - 2013/9

Y1 - 2013/9

N2 - Abstract A gradient crystal plasticity model in the framework of continuum thermodynamics and rate variational formulation is presented for the description of plastic deformation patterning in a system with non-convex energetic hardening. The paper focuses on the extension of the 1D deformation patterning analysis of Yalcinkaya et al. (2011) to 2D for monotonic loading histories. Solution algorithm is based on the simultaneous solution of displacement and plastic slip fields, which have been considered as primary variables. The incorporation of non-convexity in the plastic slip potential in the Landau-Devonshire form makes the framework dual to phase field modeling approaches with a strong coupling between the deformation and the plastic slip fields. In the phase field modeling approaches the coupling is rather weak, i.e. fields do not have to be coupled as in the current approach based on the decomposition of the total strain. The numerical examples illustrate the intrinsic formation of (laminate type) microstructures and their evolution under mechanical loading together with the macroscopic hardening-softening-stress plateau response. The effect of different number of slip systems, loading rates and boundary conditions are investigated in detail.

AB - Abstract A gradient crystal plasticity model in the framework of continuum thermodynamics and rate variational formulation is presented for the description of plastic deformation patterning in a system with non-convex energetic hardening. The paper focuses on the extension of the 1D deformation patterning analysis of Yalcinkaya et al. (2011) to 2D for monotonic loading histories. Solution algorithm is based on the simultaneous solution of displacement and plastic slip fields, which have been considered as primary variables. The incorporation of non-convexity in the plastic slip potential in the Landau-Devonshire form makes the framework dual to phase field modeling approaches with a strong coupling between the deformation and the plastic slip fields. In the phase field modeling approaches the coupling is rather weak, i.e. fields do not have to be coupled as in the current approach based on the decomposition of the total strain. The numerical examples illustrate the intrinsic formation of (laminate type) microstructures and their evolution under mechanical loading together with the macroscopic hardening-softening-stress plateau response. The effect of different number of slip systems, loading rates and boundary conditions are investigated in detail.

KW - Engineering

KW - Gradient crystal plasticity (B)

KW - Keywords

KW - Localization (A)

KW - Microstructure (A)

KW - Non-convexity (A)

KW - Patterning (A)

UR - http://www.scopus.com/inward/record.url?scp=84879957182&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0594d536-7f7e-3892-b625-adc24956d27c/

U2 - 10.1016/j.ijplas.2013.02.012

DO - 10.1016/j.ijplas.2013.02.012

M3 - Journal articles

AN - SCOPUS:84879957182

VL - 48

SP - 168

EP - 188

JO - International Journal of Plasticity

JF - International Journal of Plasticity

SN - 0749-6419

ER -