Anisotropic Elasticity: Theory and Applications

Theory of Elasticity and Consolidation for a Porous Anisotropic Solid

The author's previous theory of elasticity and consolidation for isotropic materials m. Appl. Phys. 12, 15.5-164 (1941)] is extended to the general case of anisotropy. The method of derivation is also different and more direct. The particular cases of transverse isotropy and complete isotropy are discussed.

Anisotropic thermo-elasticity in 2D. Part II: Applications

This note deals with concrete applications of the general treatment of anisotropic thermo-elasticity developed in the first part [M. Reissig, J. Wirth, Anisotropic thermo-elasticity in 2D A unified treatment, Asympt. Anal. ?? (????) ??–??]. We give dispersive decay rates for solutions to the type-1 system of thermo-elasticity for certain types of anisotropic media. 1. Elastic operators and ther...

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

Theory of Stability of Multilayered Continua in Finite Anisotropic Elasticity

The writer’s general equations for the mechanics of continua under initial stress are applied to the formulation of a rigorous theory of stability of multilayered elastic media in a state of finite initial strain. The medium is assumed incompressible. It is either isotropic or anisotropic. The problem is analyzed in the context of the writer’s earlier discussions showing the existence of intern...

Anisotropic local likelihood approximations: theory, algorithms, applications

We consider a signal restoration from observations corrupted by random noise. The local maximum likelihood technique allows to deal with quite general statistical models of signal dependent observations, relaxes the standard parametric modelling of the standard maximum likelihood, and results in ßexible nonparametric regression estimation of the signal. We deal with the anisotropy of the signal...