Two-phase models for elastic membranes with soft inclusions
- We derive an effective membrane theory in the thin film limit within a two-phase material model for a specimen consisting of an elastic matrix and soft inclusions or voids. These inclusions may lead to the formation of cracks within the elastic matrix and the corresponding limiting models are described by Griffith-type fracture energy functionals. We also provide simplified proofs of relaxation results for bulk materials.
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| Author: | Mario SantilliGND, Bernd SchmidtGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-894035 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/89403 |
| ISSN: | 1120-6330OPAC |
| Parent Title (Italien): | Rendiconti Lincei: Matematica e Applicazioni (RLM) |
| Publisher: | EMS Press |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2023 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2021/09/23 |
| Volume: | 34 |
| Issue: | 2 |
| First Page: | 401 |
| Last Page: | 431 |
| DOI: | https://doi.org/10.4171/RLM/1012 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
