On damage tensor in linear anisotropic elasticity

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

Conservation Laws in Elasticity. IlL Planar Linear Anisotropic Elastostatics

The first order conservation laws for an arbitrary homogeneous linear planar elastic material are completely classified. In all cases, both isotropic and anisotropic, besides the standard Betti reciprocity laws, there are two infinite-dimensional families of conservation laws, each depending on an arbitrary analytic function of two complex variables.

Non-linear anisotropic elasticity for real-time surgery simulation

In this article, we describe the latest developments of the minimally invasive hepatic surgery simulator prototype developed at INRIA. A key problem with such a simulator is the physical modeling of soft tissues. We propose a new deformable model based on non-linear elasticity, anisotropic behavior, and the nite element method. This model is valid for large displacements, which means in particu...

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...

Efficient computation of forces on dislocation segments in anisotropic elasticity

We compare several alternative approaches for computing the stress field of a straight dislocation segment and its forces on other segments in an anisotropic linear elastic medium. The Willis–Steeds–Lothe expression can be implemented faster than Brown’s formula and the matrix formalism is only slightly faster than the integral formalism. Expressions for self-stress and selfforce are also expli...