Irreducible representations for constitutive equations of anisotropic solids I: crystal and quasicrystal classes D[2mh], D[2m] and G[2mv]

• Autorzy: Xiao H. , Bruhns O. , Meyers A.
• Języki publikacji: EN

Abstrakty

EN

A simple, unified procedure is applied to derive irreducible nonpolynomial representations for scalar-, vector-, skewsymmetric and symmetric second order tensor-valued anisotropic constitutive equations involving any finite number of vector variables and second order tensor variables. In the paper consisting of three parts, we consider all kinds of material symmetry groups as subgroups of the cylindrical group D[infinity]h. This paper, together with a previous work, covers all kinds of material symmetric groups of solids, except for the five cubic crystal classes and the two icosahedral quasicrystal classes. In this part, our concern is with all crystal classes and quasicrystal classes D[2mh], D[2m] and G[2mv] for all integers m [is greater than or equal to] 2.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1999
• Tom: Vol. 51, nr 5
• Strony: 559--603
• Opis fizyczny: Bibliogr. 59 poz.,

Twórcy

autor

Xiao H.

autor

Bruhns O.

autor

Meyers A.

• Institute of Mechanics Ruhr-University Bochum, D-44780 Bochum, Germany and Departament of Mathematics Peking University, Beijing 100871, China