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On the efficient solution of a patch problem with multiple elliptic inclusions

Schury, F. / Greifenstein, J. / Leugering, G. / Stingl, M.

Abstract We present an asymptotic approach to find optimal rotations of orthotropic material inclusions inside an isotropic linear elastic matrix. We compute approximate optimal solutions with respect to compliance and a stress based cost functional. We validate the local and global quality of the candidate solutions by means of finite element based parametric optimization algorithms. In particular, we devise a lower bound algorithm based on the free material optimization approach. Several numerical experiments are performed for different traction scenarios.

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On the efficient solution of a patch problem with multiple elliptic inclusions

Schury, F. / Greifenstein, J. / Leugering, G. / Stingl, M.

Abstract We present an asymptotic approach to find optimal rotations of orthotropic material inclusions inside an isotropic linear elastic matrix. We compute approximate optimal solutions with respect to compliance and a stress based cost functional. We validate the local and global quality of the candidate solutions by means of finite element based parametric optimization algorithms. In particular, we devise a lower bound algorithm based on the free material optimization approach. Several numerical experiments are performed for different traction scenarios.

On the efficient solution of a patch problem with multiple elliptic inclusions

Schury, F. / Greifenstein, J. / Leugering, G. / Stingl, M.

Abstract We present an asymptotic approach to find optimal rotations of orthotropic material inclusions inside an isotropic linear elastic matrix. We compute approximate optimal solutions with respect to compliance and a stress based cost functional. We validate the local and global quality of the candidate solutions by means of finite element based parametric optimization algorithms. In particular, we devise a lower bound algorithm based on the free material optimization approach. Several numerical experiments are performed for different traction scenarios.

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Titel:

On the efficient solution of a patch problem with multiple elliptic inclusions

Beteiligte:

Schury, F. (Autor:in) / Greifenstein, J. (Autor:in) / Leugering, G. (Autor:in) / Stingl, M. (Autor:in)

Erschienen in:

Optimization and Engineering ; 16

Erscheinungsdatum:

2014

ISSN:

DOI:

https://doi.org/10.1007/s11081-014-9262-x

Medientyp:

Aufsatz (Zeitschrift)

Format:

Print

Sprache:

Englisch

Schlagwörter:

Material orientation , Material optimization , Asymptotic expansions , Eshelby theorem

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