TY - CHAP

T1 - Modeling of microstructural pattern formation in crystal plasticity

AU - Klusemann, Benjamin

PY - 2016

Y1 - 2016

N2 - The mechanical behavior of most materials is dictated by a present or emergent underlying microstructure which is a direct result of different, even competing physical mechanisms occurring at lower length scales. In this work, energetic microstructure interaction via different non-convex contributions to the free energy in metals is modeled. For this purpose rate dependent gradient extended crystal plasticity models at the glide-system level are formulated. The non-convex energy serves as the driving force for the emergent microstructure. The competition between the kinetics and the relaxation of the free energy is an essential feature of the model. Non-convexity naturally arises in finite-deformation single-slip crystal plasticity and the results of the gradient model are compared with an effective laminate model based on energy relaxation. Both models predict the formation of first-order laminates. Algorithmic and numerical aspects will be discussed and compared.

AB - The mechanical behavior of most materials is dictated by a present or emergent underlying microstructure which is a direct result of different, even competing physical mechanisms occurring at lower length scales. In this work, energetic microstructure interaction via different non-convex contributions to the free energy in metals is modeled. For this purpose rate dependent gradient extended crystal plasticity models at the glide-system level are formulated. The non-convex energy serves as the driving force for the emergent microstructure. The competition between the kinetics and the relaxation of the free energy is an essential feature of the model. Non-convexity naturally arises in finite-deformation single-slip crystal plasticity and the results of the gradient model are compared with an effective laminate model based on energy relaxation. Both models predict the formation of first-order laminates. Algorithmic and numerical aspects will be discussed and compared.

KW - Engineering

UR - http://www.iaa.tu-bs.de/vbach/Book-of-Abstracts_2016-03-04.pdf

M3 - Published abstract in conference proceedings

SP - 621

BT - Book of Abstract of the Joint Annual Meeting of GAMM and DMV

A2 - , Gesellschaft für angewandte Mathematik und Mechanik e.V

PB - Technische Universität Braunschweig

T2 - Joint DMV and GAMM Annual Meeting - DMV & GAMM 2016

Y2 - 7 March 2016 through 11 March 2016

ER -