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Large strain phase-field based multi-material topology optimization

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Author

Summary, in English

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.

Department/s

Publishing year

2015

Language

English

Pages

887-904

Publication/Series

International Journal for Numerical Methods in Engineering

Volume

104

Issue

9

Document type

Journal article

Publisher

John Wiley & Sons Inc.

Topic

  • Mechanical Engineering

Keywords

  • Topology optimization
  • Muliti-material
  • Finite strain

Status

Published

Project

  • Design of functionalized advanced polymer materials using optimisation techniques

ISBN/ISSN/Other

  • ISSN: 1097-0207