Modeling and numerical simulation of multiscale behavior in polycrystals via extended crystal plasticity
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
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82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). ed. / G. Brenn; G. A. Holzapfel; M. Schanz; O. Steinbach. Vol. 11 Wiley-VCH Verlag, 2011. p. 531–532 (PAMM - Procedings in Applied Mathematics and Mechanics; Vol. 11, No. 1).
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
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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 -