Anisotropic structure of two-dimensional linear Cosserat elasticity

Two-dimensional Steady-state Oscillation Problems of Anisotropic Elasticity

The paper deals with the two-dimensional exterior boundary value problems of the steady-state oscillation theory for anisotropic elastic bodies. By means of the limiting absorption principle the fundamental matrix of the oscillation equations is constructed and the generalized radiation conditions of Sommerfeld–Kupradze type are established. Uniqueness theorems of the basic and mixed type bound...

Vectorized Matlab codes for linear two-dimensional elasticity

A vectorized Matlab implementation for the P1 finite element is provided for the twodimensional linear elasticity with mixed boundary conditions. Vectorization means that there is no loop over triangles. Numerical experiments show that our implementation is more efficient than the standard implementation with a loop over all triangles.

A Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity

In this paper, a Galerkin boundary node method (GBNM) is developed for boundary-only analysis of 2D problems in linear elasticity. The GBNM combines the variational form of a boundary integral formulation for the elastic equations with the moving least-squares approximations for generating the trial and test functions. Unlike the boundary node method, the main idea here is to use the Galerkin s...

Massless Dirac equation as a special case of Cosserat elasticity

We suggest an alternative mathematical model for the massless neutrino. Consider an elastic continuum in 3-dimensional Euclidean space and assume that points of this continuum can experience no displacements, only rotations. This framework is a special case of the so-called Cosserat theory of elasticity. Rotations of points of the continuum are described by attaching to each point an orthonorma...

Dislocation core field. I. Modeling in anisotropic linear elasticity theory