Plasticity as Spontaneous Breaking of Symmetry

  title={Plasticity as Spontaneous Breaking of Symmetry},
  author={V. L. Kobelev},
The Article demonstrates the spontaneous symmetry breaking of isotropic homogeneous elastic medium in form of transition from Euclidean to Riemann-Cartan internal geometry of medium. The deformation of elastic medium without defects is based on Euclidean geometry in three dimensional space. The deformation of elastic medium with defects is based on Riemann-Cartan geometry and is interpreted in this Article, as different phase state. In this article, the expression for the free energy leading is… 



Continuum elasticity with topological defects, including dislocations and extra-matter

The elasticity of continuous media with topological defects is described naturally by differential geometry, since it relates metric to strain. We construct a geometrical field theory, identifying

Dislocation theory as a physical field theory

Dislocations are the elementary carriers in many situations of plastic flow. Since they can be seen, counted and typified, e.g. in the electron microscope, and since their presence changes the state

On the structure of the theory of polar elasticity

  • G. Maugin
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
This work presents a study of the formal structure of the theory of finite–strain polar elasticity and thermoelasticity with special attention to the construction of canonical balance laws that

Canonical Forms and Conservation Laws in Linear Elastostatics

IN THIS PAPER, we shall review earlier work on canonical forms in linear elasticity, and applications to the classification of conservation laws (path-independent integrals).

Variational approach in dislocation theory

A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys

Kontinuumstheorie der Versetzungen und Eigenspannungen, Berlin: Springer

  • 1958