Internal constraints and linear constitutive relations for transversely isotropic materials
Paolo Podio-Guidugli; Maurizio Vianello
- Volume: 2, Issue: 3, page 241-248
- ISSN: 1120-6330
Access Full Article
top
Abstract
topHow to cite
topPodio-Guidugli, Paolo, and Vianello, Maurizio. "Internal constraints and linear constitutive relations for transversely isotropic materials." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.3 (1991): 241-248. <http://eudml.org/doc/244176>.
@article{Podio1991,
abstract = {All internal constraints compatible with transverse isotropy are determined and representation formulae are given for the constitutive relations of arbitrarily constrained, transversely isotropic materials.},
author = {Podio-Guidugli, Paolo, Vianello, Maurizio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Linear elasticity; Internal constraints; Material symmetries; representation formulae; arbitrarily constrained, transversely isotropic materials},
language = {eng},
month = {9},
number = {3},
pages = {241-248},
publisher = {Accademia Nazionale dei Lincei},
title = {Internal constraints and linear constitutive relations for transversely isotropic materials},
url = {http://eudml.org/doc/244176},
volume = {2},
year = {1991},
}
TY - JOUR
AU - Podio-Guidugli, Paolo
AU - Vianello, Maurizio
TI - Internal constraints and linear constitutive relations for transversely isotropic materials
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/9//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 3
SP - 241
EP - 248
AB - All internal constraints compatible with transverse isotropy are determined and representation formulae are given for the constitutive relations of arbitrarily constrained, transversely isotropic materials.
LA - eng
KW - Linear elasticity; Internal constraints; Material symmetries; representation formulae; arbitrarily constrained, transversely isotropic materials
UR - http://eudml.org/doc/244176
ER -
References
top- GURTIN, M. E., The linear theory of elasticity. In: S. FLÜGGE (éd.), Handbuch der Physik. Springer, Berlin1972, VI a/2. Zbl0103.16403
- DEL PIERO, G. - HUO, Y., On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor. J. Elasticity, forthcoming. Zbl0755.73015MR1115553DOI10.1007/BF00040927
- WALPOLE, L. J., Fourth-rank tensors of the thirty-two crystal classes: multiplication tables. Proc. R. Soc. Lond., A 391, 1984, 149-179. Zbl0521.73005MR735233
- PODIO-GUIDUGLI, P. - VIRGA, E. G., Transversely isotropic elasticity tensors. Proc. R. Soc. Lond., A 411, 1987, 85-93. Zbl0611.73002MR895353
- TRUESDELL, C. - NOLL, W., The non-linear field theories of mechanics. In: S. FLÜGGE (éd.), Handbuch der Physik. Springer, Berlin1965, III/3. Zbl0779.73004MR193816
- PODIO-GUIDUGLI, P. - VIANELLO, M., The representation problem of constrained linear elasticity. J. Elasticity, forthcoming. Zbl0765.73012MR1182230DOI10.1007/BF00132215
- MARTINS, L. C. - PODIO-GUIDUGLI, P., A new proof of the representation constitutive theorem for isotropic, linear relations. J. Elasticity, 8, 1978, 319-322. MR504885DOI10.1007/BF00130470
- PODIO-GUIDUGLI, P. - VIANELLO, M., Constraint manifolds for isotropic solids. Arch. Rational Mech. Anal., 105 (2), 1989, 105-121. Zbl0678.73004MR968457DOI10.1007/BF00250833
- HALMOS, P. R., Finite-dimensional vector spaces. Van Nostrand, Princeton, New Jersey 1958. Zbl0107.01404MR89819
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.