Sentence examples for inhomogeneity problem from inspiring English sources

This paper deals with an elastic orthotropic inhomogeneity problem due to non-uniform eigenstrains.

This shape dependence in the inhomogeneity problem is in contrast with shape independence of the far field in the eigenstrain problem.

Parallel radiofrequency (RF) transmission, either in the form of RF shimming or pulse design, has been proposed as a solution to the B+1 inhomogeneity problem in ultra high field magnetic resonance imaging.

While the modified size-dependent Eshelby's tensor and hence the complete elastic state of inclusions containing transformation strains or eigenstrains is explicitly derived, the corresponding inhomogeneity problem leads to integrals equations which do not appear to have closed-form solutions.

The method is based on the eigenfunction expansion (Fourier expansion) of single inhomogeneity problem and the use of a pseudo-incident wave technique, which allows the accurate determination of local stress field caused by the interaction.

The computation efficiency of Green's functions in the boundary integral equation method and Eshelby inhomogeneity problem are greatly improved by the efficient interpolation of Green's functions, where the relevant tables of Green's functions are preliminarily computed using spherical coordinates.

In many dynamic applications of theoretical physics, for instance in electrodynamics, elastodynamics, and materials sciences (dynamic variant of Eshelby's inclusion and inhomogeneity problems) the solution of the inhomogeneous Helmholtz equation ('dynamic' or Helmholtz potential) plays a crucial role.

The "equivalent inclusion method" was first introduced for the solution of inhomogeneity problems in elasticity.

We show that the external fields in the eigenstrain – and the inhomogeneity problems are interrelated by the same tensor that characterizes the compliance contribution of an inhomogeneity.

To this end, the fundamental equations of couple stress elasticity in elliptic coordinates are derived and several fundamental elliptic inhomogeneity problems in plane couple stress elasticity are solved analytically.

By introducing a homogeneous piezoelectric material and its Green's function, we present a new semi-analytical three-dimensional perturbation method for general inhomogeneity problems in anisotropic and piezoelectric solids.