ON THE DEPENDENCE OF THE FUNCTIONS OF STATE OF A DEFORMABLE BODY ON THE MEASURE OF ROTATION

摘要

We show that the measures of strain and initial values of vector and tensor state parameters are divided into subjective nonrelational and objective rotational. Representations of the functions of state are di-vided in a similar way, and only objective ones do not depend explicitly on the measure of rotation of material axes. We have constructed relations for the reduction of rotation-free differentials of the func-tions of state to expressions in terms of the tensors of infinitesimal strain and rotation. On this basis, we have obtained objective representations for stress tensor in terms of the derivatives of the state potential of an anisotropic material. The results obtained concern the nonlinear mechanics of initially stressed bodies.