CONTENTS ??1. Introduction ??2. Kinematic characteristics of the deformation of small particles ??3. Basic dynamic and thermodynamic equations ??4. Variational principles and their consequences ??5. The energy equation and the equation of thermal inflow ??6. Ponderomotive reciprocal forces in a moving material continuum in an electromagnetic fieldList of works on the general theory of models of continuous media

http://iopscience.iop.org/article/10.1070/RM1965v020n05ABEH001191/pdf

Mathematical methods for constructing new models of continuous media

Synthetic theory of irreversible deformation in the context of fundamental bases of plasticity

Mathematical model of elastoplastic deformation of a mesovolume of material with a finite number of slip systems

Basic Principles and the Limits of Applicability of the Theory of Plasticity Based on the Concept of Slip and Il’yushin’s Isotropy Postulate

Ever since the so-called slip theory was proposed by Batdorf and Budiansky in 1949, it has become a subject of discussion and is not yet settled which of the theories should be valid, the slip theory or the incremental strain theory. In the present paper, the characteristic shear function introduced by them is computed for the two fundamental loading processes, tension and torsion of circular tubes, and accordingly it is shown that the function assumes different values in each case, consequently that the slip theory is invalid.

Yoshimaru Yoshimura

Papers

Comment on the Slip Theory of Batdorf and Budiansky