Homogenization approach based on laminates
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Homogenization approach based on laminates. / Klusemann, Benjamin; Svendsen, Bob.
PAMM: 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). ed. / Christian Wieners. Vol. 10 1. ed. Wiley-VCH Verlag, 2010. p. 419–420 (PAMM; Vol. 10, No. 1).Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
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TY - CHAP
T1 - Homogenization approach based on laminates
AU - Klusemann, Benjamin
AU - Svendsen, Bob
PY - 2010/10/16
Y1 - 2010/10/16
N2 - In this work, a homogenization approach for the modeling of the material behavior of two-phase composites motivated by modeling a thin-layer-type microstructure is presented. The basic idea here is to idealize the thin-layered microstructure as a first-order laminate. In particular, a jump in deformation state across the phase interface is modeled constitutively via a rank-one connection of habit-plane type. In the material framework, the value for the jump as well as its direction remain as independent constitutive variables. However, in the case of laminates and an ideal plain interface, the direction is given and stays in a first approach constant. We assume that their values are determined by mechanical and configurational equilibrium in the two-phase composite at the interface. This yields to a set of implicit equations which lead to the corresponding response of the structure.
AB - In this work, a homogenization approach for the modeling of the material behavior of two-phase composites motivated by modeling a thin-layer-type microstructure is presented. The basic idea here is to idealize the thin-layered microstructure as a first-order laminate. In particular, a jump in deformation state across the phase interface is modeled constitutively via a rank-one connection of habit-plane type. In the material framework, the value for the jump as well as its direction remain as independent constitutive variables. However, in the case of laminates and an ideal plain interface, the direction is given and stays in a first approach constant. We assume that their values are determined by mechanical and configurational equilibrium in the two-phase composite at the interface. This yields to a set of implicit equations which lead to the corresponding response of the structure.
KW - Engineering
U2 - 10.1002/pamm.201010202
DO - 10.1002/pamm.201010202
M3 - Article in conference proceedings
VL - 10
T3 - PAMM
SP - 419
EP - 420
BT - PAMM
A2 - Wieners, Christian
PB - Wiley-VCH Verlag
T2 - 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM2020
Y2 - 20 October 2010
ER -