000015174 001__ 15174
000015174 005__ 20161115100213.0
000015174 04107 $$aeng
000015174 046__ $$k2016-08-21
000015174 100__ $$aMan, Chi-Sing
000015174 24500 $$aRemarks on isotropic extension of anisotropic constitutive functions via structural tensors

000015174 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015174 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015174 506__ $$arestricted
000015174 520__ $$2eng$$aIn their original formulation of the method of isotropic extension via structural tensors, which is meant for applications to the derivation of coordinate-free representation formulas for anisotropic constitutive functions, both Boehler and Liu started with the assumption (*) that the invariant group of structural tensors is the symmetry group that defines the anisotropy of the constitutive function in question. As a result, the method (with structural tensors of order not higher than two) is applicable only when the anisotropy is characterized by a cylindrical group or belongs to the triclinic, monoclinic, or rhombic crystal classes. In this talk we present a reformulation of the method in which assumption (*) is relaxed and show by examples in anisotropic linear and finite elasticity that the method of isotropic extension via structural tensors could be applicable beyond the original limitations.

000015174 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015174 653__ $$a

000015174 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015174 720__ $$aMan, Chi-Sing
000015174 8560_ $$ffischerc@itam.cas.cz
000015174 8564_ $$s56495$$uhttps://invenio.itam.cas.cz/record/15174/files/TS.SM04-5.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1939, code TS.SM04-5.03
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000015174 962__ $$r13812
000015174 980__ $$aPAPER