Large strain phase-field-based multi-material topology optimization

被引:27
作者
Wallin, Mathias [1 ]
Ivarsson, Niklas [1 ]
Ristinmaa, Matti [1 ]
机构
[1] Lund Univ, Div Solid Mech, SE-22100 Lund, Sweden
关键词
topology optimization; multi-material; finite strains; COMPLIANT MECHANISMS; DENSITY FIELD; HOWARDS ALGORITHM; SNAP-THROUGH; INTERPOLATION;
D O I
10.1002/nme.4962
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A multi-material topology optimization scheme is presented. The formulation includes an arbitrary number of phases with different mechanical properties. To ensure that the sum of the volume fractions is unity and in order to avoid negative phase fractions, an obstacle potential function, which introduces infinity penalty for negative densities, is utilized. The problem is formulated for nonlinear deformations, and the objective of the optimization is the end displacement. The boundary value problems associated with the optimization problem and the equilibrium equation are solved using the finite element method. To illustrate the possibilities of the method, it is applied to a simple boundary value problem where optimal designs using multiple phases are considered. Copyright (c) 2015John Wiley & Sons, Ltd.
引用
收藏
页码:887 / 904
页数:18
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