Existence for accreting viscoelastic solids at large strains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915466256056320 |
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| author | Chiesa, Andrea Stefanelli, Ulisse |
| author_facet | Chiesa, Andrea Stefanelli, Ulisse |
| contents | By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is driven by the deformation state of the solid. The progressive build-up of incompatible strains in the material is modeled by considering an additional backstrain. The model is regularized by postulating the presence of a fictitious compliant material surrounding the accreting body. We show the existence of solutions to the coupled accretion and viscoelastic equilibrium problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19923 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence for accreting viscoelastic solids at large strains Chiesa, Andrea Stefanelli, Ulisse Analysis of PDEs 74F99, 74G22, 49L25 By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is driven by the deformation state of the solid. The progressive build-up of incompatible strains in the material is modeled by considering an additional backstrain. The model is regularized by postulating the presence of a fictitious compliant material surrounding the accreting body. We show the existence of solutions to the coupled accretion and viscoelastic equilibrium problem. |
| title | Existence for accreting viscoelastic solids at large strains |
| topic | Analysis of PDEs 74F99, 74G22, 49L25 |
| url | https://arxiv.org/abs/2508.19923 |