Title

The phase-field method in optimal design

Document Type

Conference Proceeding

Publication Date

1-1-2006

Abstract

We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Γ-convergence. It uses a smooth function, the phase-field, to represent all materials involved. We describe our approach, and detail its application to two problems. © 2006 Springer.

Publication Source (Journal or Book title)

Solid Mechanics and its Applications

First Page

207

Last Page

215

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