A new representation theorem for elastic constitutive equations of cubic crystals

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zbMath0944.74019MaRDI QIDQ1307644

Publication date: 20 September 2000

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

nonlinear elasticity material symmetry group cubic crystals elastic constitutive equations invariance restriction irreducible non-polynomial representation nine polynomial tensor generators

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Crystalline structure (74E15) Statistical mechanics of crystals (82D25)

Related Items (4)

On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials ⋮ Bootstrap elasticity. II: Corrections and extensions ⋮ Bootstrap elasticity: from linear to nonlinear constitutive representations ⋮ Bootstrap elasticity. III: Minimal nonlinear constitutive representation for cubic materials

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