The description, classification, and reality of material and physical symmetries

DOI10.1007/BF01178519zbMath0811.73002OpenAlexW2084666333MaRDI QIDQ1341969

J. P. Boehler, Quan-Shui Zheng

Publication date: 7 May 1995

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01178519

zbMATH Keywords

compact point groupfunction basesHilbert's theorem for integrity basesnon-compact point groupWineman and Pipkin's theorem

Mathematics Subject Classification ID

Crystalline structure (74E15) Special aspects of infinite or finite groups (20F99) Theory of constitutive functions in solid mechanics (74A20)

Related Items (26)

Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior ⋮ Some general properties of Eshelby's tensor fields in transport phenomena and anti-plane elasticity ⋮ On the symmetries of 2D elastic and hyperelastic tensors ⋮ Symmetry classes for elasticity tensors ⋮ Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes ⋮ On minimal representations for constitutive equations of anisotropic elastic materials ⋮ Symmetry classes for odd-order tensors ⋮ Symmetry analysis and invariance relations in creep ⋮ Tensor function representations as applied to formulating constitutive laws for clinotropic materials ⋮ Polyadic random fields ⋮ Tensor- and spinor-valued random fields with applications to continuum physics and cosmology ⋮ Clips operation between type-II and type-III \(O(3)\)-subgroups with application to piezoelectricity ⋮ Distance to a constitutive tensor isotropy stratum by the Lasserre polynomial optimization method ⋮ Anisotropic structure of two-dimensional linear Cosserat elasticity ⋮ Space of 2D elastic materials: a geometric journey ⋮ A nonlinear thermomechanical formulation for anisotropic volume and surface continua ⋮ Multiphasic intervertebral disc mechanics: theory and application ⋮ A covariant constitutive theory for anisotropic hyperelastic solids with initial strains ⋮ Isotropic orientation distributions of cubic crystals ⋮ Symmetry considerations for topology design in the elastic inverse homogenization problem ⋮ The number and types of all possible rotational symmetries for flexoelectric tensors ⋮ Energy landscapes of graphene under general deformations: DFT-to-hyperelasticity upscaling ⋮ An anisotropic hyperelastic model with an application to soft tissues ⋮ Symmetry classes of piezoelectric solids ⋮ Radial dynamics of an encapsulated microbubble with interface energy ⋮ Symmetry classes in piezoelectricity from second-order symmetries

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