# Binary Level Set Method for Topology Optimization of Variational Inequalities

Abstract : The paper is concerned with the topology optimization of the elliptic variational inequalities using the level set approach. The standard level set method is based on the description of the domain boundary as an isocountour of a scalar function of a higher dimensionality. The evolution of this boundary is governed by Hamilton-Jacobi equation. In the paper a binary level set method is used to represent sub-domains rather than the standard method. The binary level set function takes at convergence value 1 in each sub domain of a whole design domain and $-1$ outside this sub domain. The sub domains interfaces are represented by discontinuities of these functions. Using a two-phase approximation and a binary level set approach the original structural optimization problem is reformulated as an equivalent constrained optimization problem in terms of this level set function. Necessary optimality condition is formulated. Numerical examples are provided and discussed.
Keywords :
Type de document :
Communication dans un congrès
Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.199-209, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_19〉
Domaine :

Littérature citée [13 références]

https://hal.inria.fr/hal-01286414
Contributeur : Hal Ifip <>
Soumis le : jeudi 10 mars 2016 - 17:17:36
Dernière modification le : vendredi 1 décembre 2017 - 01:12:48
Document(s) archivé(s) le : dimanche 13 novembre 2016 - 15:18:32

### Fichier

978-3-662-45504-3_19_Chapter.p...
Fichiers produits par l'(les) auteur(s)

### Citation

Andrzej Myśliński. Binary Level Set Method for Topology Optimization of Variational Inequalities. Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.199-209, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_19〉. 〈hal-01286414〉

### Métriques

Consultations de la notice

## 38

Téléchargements de fichiers