On the Incompressible Behavior in Weakly Nonlinear Elasticity

Energy Minimising Properties of the Radial Cavitation Solution in Incompressible Nonlinear Elasticity

Consider an incompressible hyperelastic material, occupying the unit ball B ⊂ R in its reference state. Suppose that the displacement is specified on the boundary, that is, u(x) = λx for x ∈ ∂B, where λ > 1 is a given constant. In this paper, isoperimetric arguments are used to prove that the radial deformation, producing a spherical cavity, is the energy minimiser in a general class of isochor...

Solution of the nonlinear elasticity imaging inverse problem: The incompressible case.

We have recently developed and tested an efficient algorithm for solving the nonlinear inverse elasticity problem for a compressible hyperelastic material. The data for this problem are the quasi-static deformation fields within the solid measured at two distinct overall strain levels. The main ingredients of our algorithm are a gradient based quasi-Newton minimization strategy, the use of adjo...

the impact of e-readiness on ec success in public sector in iran the impact of e-readiness on ec success in public sector in iran

acknowledge the importance of e-commerce to their countries and to survival of their businesses and in creating and encouraging an atmosphere for the wide adoption and success of e-commerce in the long term. the investment for implementing e-commerce in the public sector is one of the areas which is focused in government‘s action plan for cross-disciplinary it development and e-readiness in go...

Existence Theorems for a Class of Problems in Nonlinear Elasticity: Equilibrium of Incompressible Hyperelastic Bodies

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...