Eshelby’s inclusion problem in large deformations
| Autor: | Mawafag F. Alhasadi, Salvatore Federico |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Applied Mathematics
General Mathematics Infinitesimal Multiplicative function General Physics and Astronomy Eshelby's inclusion 02 engineering and technology Decomposition analysis 01 natural sciences 010305 fluids & plasmas 020303 mechanical engineering & transports 0203 mechanical engineering Finite strain theory 0103 physical sciences Decomposition (computer science) Applied mathematics Mathematics |
| Zdroj: | Zeitschrift für angewandte Mathematik und Physik. 72 |
| ISSN: | 1420-9039 0044-2275 |
| DOI: | 10.1007/s00033-021-01594-8 |
| Popis: | In this contribution, we propose a multiplicative decomposition of the deformation gradient corresponding to the imagined procedure that Eshelby (Proc R Soc Ser A 241:376–396, 1957) used to investigate the theory of inclusions in the case of infinitesimal deformations. The proposed multiplicative decomposition is inspired by classical multiplicative decompositions reported in the literature and encompasses, as particular cases, other decompositions proposed for Eshelby’s inclusion problem. The linearisation of the proposed multiplicative decomposition coincides with the additive decomposition of the infinitesimal strain in Eshelby’s original procedure. |
| Databáze: | OpenAIRE |
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