Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures

URN to cite this document:: urn:nbn:de:bvb:355-epub-553420
DOI to cite this document:: 10.5283/epub.55342

Garcke, Harald

; Hüttl, Paul

; Kahle, Christian ; Knopf, Patrik

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 18 Jan 2024 05:49

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Abstract

We consider an optimization problem for the eigenvalues of a multi-material elastic structure that was previously introduced by Garcke et al. (Adv. Nonlinear Anal. 11:159–197, 2022). There, the elastic structure is represented by a vector-valued phase-field variable, and a corresponding optimality system consisting of a state equation and a gradient inequality was derived. In the present paper, ...