TY - CHAP

T1 - Two model formulations for gradient crystal plasticity

AU - Klusemann, Benjamin

AU - Bargmann, Swantje

AU - Svendsen, Bob

N1 - Conference code: 83

PY - 2012

Y1 - 2012

N2 - The purpose of the current work is the formulation of two different (algorithmic) models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The two models are compared with each other, depending in particular on how the inelastic deformation and dislocation density are modeled. The work is a first extension of the investigation in Klusemann et al. [1] to two‐dimensions. In the first model, the corresponding displacement and inelastic local deformation are modeled as global via weak field relations, and the dislocation density is a local quantity and solved for via a strong field relation. In the second model, displacement and dislocation density are modeled as global, and the inelastic deformation as local, in this sense. The influence for the modeling results is discussed. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

AB - The purpose of the current work is the formulation of two different (algorithmic) models for multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The two models are compared with each other, depending in particular on how the inelastic deformation and dislocation density are modeled. The work is a first extension of the investigation in Klusemann et al. [1] to two‐dimensions. In the first model, the corresponding displacement and inelastic local deformation are modeled as global via weak field relations, and the dislocation density is a local quantity and solved for via a strong field relation. In the second model, displacement and dislocation density are modeled as global, and the inelastic deformation as local, in this sense. The influence for the modeling results is discussed. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

KW - Engineering

U2 - 10.1002/pamm.201210388

DO - 10.1002/pamm.201210388

M3 - Article in conference proceedings

T3 - PAMM - Proceedings in Applied Mathematics and Mechanics

SP - 815

EP - 818

BT - 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

A2 - Alber, H.-D.

A2 - Kraynyukova, N.

A2 - Tropea, C.

PB - Wiley-VCH Verlag

T2 - 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM2013

Y2 - 1 January 2013

ER -