The Coupled Adjoint-State Equation in forward and inverse linear elasticity: Incompressible plane stress

Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity

Article history: Received 24 October 2008 Received in revised form 19 February 2009 Accepted 20 February 2009 Available online 6 March 2009

Nearly Incompressible Linear Elasticity Using Simplicial Meshes

We present two finite element methods for simplicial meshes to approximate the solution of the problem of nearly incompressible elasticity. Although both approaches are based on mixed formulations of linear elastic equations and biorthogonal systems, one of them is nonsymmetric, and the other symmetric. An interesting feature of both approaches is that displacement-based formulations can be obt...

Evaluation of the adjoint equation based algorithm for elasticity imaging.

Recently a new adjoint equation based iterative method was proposed for evaluating the spatial distribution of the elastic modulus of tissue based on the knowledge of its displacement field under a deformation. In this method the original problem was reformulated as a minimization problem, and a gradient-based optimization algorithm was used to solve it. Significant computational savings were r...

Plane wave approximation in linear elasticity

Equation of state and elasticity of FeSi

[1] FeSi may be one of the main products of the reaction between molten iron and mantle silicates. We use both the Local Density Approximation (LDA) and the Generalized Gradient Approximation (GGA) to Density Functional Theory (DFT) to analyze the structural behavior of FeSi and to determine its elastic properties up to high pressures. According to our calculations, at lowermost mantle pressure...