Some foundational aspects of the constitutive theory of finite elasticity are considered in the case, regarded here as general, when internal kinematical constraints are imposed. The emphasis is on the algebraic-geometric structure induced by constraints. In particular, old and new examples of internal constraints are reviewed, and the material symmetry issue in the presence of constraints is discussed.
Si espongono alcuni aspetti di fondamento della teoria costitutiva dell'elasticità finita nel caso in cui si impongano vincoli cinematici interni, caso che è qui riguardato come generale. L'attenzione è concentrata sulla struttura algebrico-geometrica indotta dai vincoli. In particolare, si passano in rassegna vecchi e nuovi esempi di vincoli interni e si discute la questione delle simmetrie materiali in presenza di vincoli.
@article{RLIN_1990_9_1_4_341_0,
author = {Paolo Podio-Guidugli},
title = {Constrained elasticity},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {1},
year = {1990},
pages = {341-350},
zbl = {0726.73030},
mrnumber = {1096828},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_4_341_0}
}
Podio-Guidugli, Paolo. Constrained elasticity. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 341-350. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_4_341_0/
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