Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach
A cost function involving the eigenvalues of an elastic structure is optimized using a phase-field approach, which allows for topology changes and multiple materials.We show continuity and differentiability of simple eigenvalues in the phase-field context. Existence of global minimizers can be shown...
Main Authors: | Garcke Harald, Hüttl Paul, Knopf Patrik |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2021-07-01
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Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2020-0183 |
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