The formulation of elastic and plastic responses for cubic crystals. (English) Zbl 0906.73011
Summary: We derive the complete and irreducible representations for scalar-valued and second-order symmetric tensor-valued functions (not only polynomials) of a single second-order symmetric tensor for each of the five crystal classes in the cubic system. These results are applied to formulate the constitutive equations of cubic crystals in elasticity and plasticity.
MSC:
74E10 | Anisotropy in solid mechanics |
82D25 | Statistical mechanics of crystals |
15A72 | Vector and tensor algebra, theory of invariants |