The elastic potential of a deformable anisotropic body

Based on the criteria of safety of the spherical portion of the deformation stresses and for the work of deformation on the limiting condition of a material a separation is made of the elastic energy of deformation of an anisotropic body. It is shown that in the general case of loading the components of the spherical portion of the stresses and strains are not equal to one third of their first invariants. The values of these components, as for the values of the deviator portion of the elastic potential, depend upon the stressed and strained state and the loading direction (deformation).