Nonconvex Model of Material Growth: Mathematical Theory Full article
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Archive for Rational Mechanics and Analysis
ISSN: 0003-9527 |
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| Output data | Year: 2018, Volume: 230, Number: 3, Pages: 839-910 Pages count : 72 DOI: 10.1007/s00205-018-1259-8 | ||||||||
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Abstract:
The model of volumetric material growth is introduced in the framework of finite elasticity. The new results obtained for the model are presented with complete proofs. The state variables include the deformations, temperature and the growth factor matrix function. The existence of global in time solutions for the quasistatic deformations boundary value problem coupled with the energy balance and the evolution of the growth factor is shown. The mathematical results can be applied to a wide class of growth models in mechanics and biology.
Cite:
Ganghoffer J.F.
, Plotnikov P.I.
, Sokolowski J.
Nonconvex Model of Material Growth: Mathematical Theory
Archive for Rational Mechanics and Analysis. 2018. V.230. N3. P.839-910. DOI: 10.1007/s00205-018-1259-8 WOS Scopus РИНЦ OpenAlex
Nonconvex Model of Material Growth: Mathematical Theory
Archive for Rational Mechanics and Analysis. 2018. V.230. N3. P.839-910. DOI: 10.1007/s00205-018-1259-8 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000443822500002 |
| Scopus: | 2-s2.0-85047907761 |
| Elibrary: | 35748744 |
| OpenAlex: | W2266415913 |