Аннотация:The mechanical behavior of many structural materials displays
anisotropic elastic and plastic properties in different degree. Along with anisotropy,
their behavior may demonstrate the asymmetry in the mechanical properties.
The simplest example of this asymmetry is the difference of the deformation
characteristics or the yield limits under conditions of tension and compression in the
same directions in a material. Generally the mechanical properties of materials may
be expressed as the functions of direction of the applied load and some parameters
of the stress state type. In some of recently proposed theories of elasticity and
plasticity different from the classic isotropic theories based on the Hooke’s law and
Tresca or von Mises yield criteria, the anisotropy and asymmetry of the mechanical
properties in some degree are involved, but the formulation of general equations
that may be easily used in engineering is still a challenged problem. In this paper,
generalized constitutive equations for the description of elastic and plastic behavior
of anisotropic materials with stress state dependent properties are considered.