Strains of plates of nonlinear anisotropic materials

Abstract

A general approach to constructing of nonlinear variants of connection between stresses and strains in anisotropic materials with different types of symmetry of properties is considered. This approach is based on the concept of elastic proper subspaces of anisotropic materials introduced in the mechanics of solids by J. Rychlewski and on the partial postulate of isotropy proposed by A. A. Il’yushin. The generalization of the partial postulate on the case of nonlinear anisotropic materials is formulated.Some variants of nonlinear constitutive relations for anisotropic materials written in the space of stresses are offered. The analysis of these relations from the point of view of their satisfaction to the generalization of partial isotropy postulate on anisotropic materials is performed.The comparison of calculations using the offered relations with experimental data on stretching of plates made of laminated composites is fulfilled.