TY - CHAP

T1 - Modeling and numerical simulation of multiscale behavior in polycrystals via extended crystal plasticity

AU - Klusemann, Benjamin

AU - Bargmann, Swantje

AU - Svendsen, Bob

N1 - Conference code: 82

PY - 2011

Y1 - 2011

N2 - The purpose of this work is to exploit the algorithmic formulation of models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The models for extended crystal plasticity are based on the formulation of rate potentials whose form is determined by (i) energetic processes via the free energy, (ii) kinetic processes via the dissipation potential, and (iii) the form of the evolution relations for the internal-variable-like quantities upon which the free energy and dissipation potential depend. Examples for these latter quantities are the inelastic local deformation or dislocation densities as GNDs. Different algorithmic implementations are discussed, namely the algorithmic variational approach and the dual mixed approach.

AB - The purpose of this work is to exploit the algorithmic formulation of models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The models for extended crystal plasticity are based on the formulation of rate potentials whose form is determined by (i) energetic processes via the free energy, (ii) kinetic processes via the dissipation potential, and (iii) the form of the evolution relations for the internal-variable-like quantities upon which the free energy and dissipation potential depend. Examples for these latter quantities are the inelastic local deformation or dislocation densities as GNDs. Different algorithmic implementations are discussed, namely the algorithmic variational approach and the dual mixed approach.

KW - Engineering

U2 - 10.1002/pamm.201110255

DO - 10.1002/pamm.201110255

M3 - Article in conference proceedings

VL - 11

T3 - PAMM - Procedings in Applied Mathematics and Mechanics

SP - 531

EP - 532

BT - 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

A2 - Brenn, G.

A2 - Holzapfel, G. A.

A2 - Schanz, M.

A2 - Steinbach, O.

PB - Wiley-VCH Verlag

T2 - 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics -GAMM2012

Y2 - 1 January 2012

ER -