Laminations in planar anisotropic linear elasticity

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.

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

Prediction of Instability in Planar Anisotropic Sheet Metal Forming Processes

In this paper instability of planar anisotropic sheet metal during a few forming processes is investigated for the first time. For this reason components of the constitutive tangent tensor for planar anisotropic sheets are developed. By using the above tensor location of necking is predicted. Direction of the shear band is also predicted using the acoustic tensor. A finite element program is pr...

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...

Elucidation of Isotropic and Anisotropic Shear Elasticity of in vivo Soft Tissue using Planar Magnetic Resonance

Magnetic resonance elastography (MRE) is a noninvasive method that allows the determination of in vivo shear elasticity of soft tissues. In this thesis methods for the determination of isotropic and anisotropic shear elasticities from MRE wave data were developed and evaluated. All methods presented in this work are based on planar MRE, i.e. they are based on the measurement of a single displac...