On Anisotropic Polynomial Relations for the Elasticity Tensor

Investigating anisotropic elasticity using MR-Elastography combined with Diffusion Tensor Imaging: Validation using anisotropic and viscoelastic phantoms

Introduction: Magnetic Resonance Elastography (MRE) is a non-invasive imaging technique which is capable of quantifying soft tissue elasticity in vivo [1]. Most MRE studies have assumed isotropic mechanical properties although many soft tissues possess anisotropic mechanical properties due to their fibrous structure, for instance skeletal muscle or brain white matter. We propose a technique whi...

The topological derivative in anisotropic elasticity

A comprehensive treatment of the topological derivative for anisotropic elasticity is presented, with both the background material and the trial small inhomogeneity assumed to have arbitrary anisotropic elastic properties. A formula for the topological derivative of any cost functional defined in terms of regular volume or surface densities depending on the displacement is established, by combi...

Generalized abelès relations for an anisotropic thin film with an arbitrary dielectric tensor: comments.

The Cojocaru generalization of the 2 x 2 extended Jones matrix method, placed in a wider context of previous approaches to anisotropic optical thin films, is analyzed from a complementary perspective. This, contrary to initial belief, allows for a simple proof that one may include multiple reflections by taking into account total fields into the anisotropic film, and this therefore provides sup...

Anisotropic scalar-tensor cosmologies.

We examine homogeneous but anisotropic cosmologies in scalar-tensor gravity theories, including Brans-Dicke gravity. We present a method for deriving solutions for any isotropic perfect fluid with a barotropic equation of state (p ∝ ρ) in a spatially flat (Bianchi type I) cosmology. These models approach an isotropic, general relativistic solution as the expansion becomes dominated by the barot...

An alternative to the Kelvin decomposition for plane anisotropic elasticity