The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Finite strain topology optimization based on phase-field regularization

På svenska

Author

Summary, in English

In this paper the topology optimization problem is solved in a finite strain setting using a polyconvex hyperelastic material. Since finite strains is considered the definition of the stiffness is not unique. In the present contribution, the objective of the optimization is minimization of the end-displacement for a given amount of material. The problem is regularized using the phase-field approach which leads to that the optimality criterion is defined by a second order partial differential equation. Both the elastic boundary value problem and the optimality criterion is solved using the finite element method. To approach the optimal state a steepest descent approach is utilized. The interfaces between void and full material are resolved using an adaptive finite element scheme. The paper is closed by numerical examples that clearly illustrates that the presented method is able to find optimal solutions for finite strain topology optimization problems.

Publishing year

2014-08-21

Language

English

Pages

305-317

Publication/Series

Structural and Multidisciplinary Optimization

Volume

51

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Mechanical Engineering

Keywords

  • Finite strain
  • Phase field
  • Topology optimization

Status

Published

ISBN/ISSN/Other

  • ISSN: 1615-147X