We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The is the automatic variationally stable FE (AVS-FE) Calo, Romkes and Valseth, in which we consider Petrov-Galerkin weak formulation where stress displacement variables are space H(div)xH1, respectively. This allows us to employ fully conforming discretization any elastic solid ...

The Maxwell-Lame equations governing the principal components of Cauchy stress for plane deformations are well known in the context of photo-elasticity, and they form a pair of coupled first-order hyperbolic partial differential equations when the deformation geometry is known. In the present paper this theme is developed for nonlinear isotropic elastic materials by supplementing the (Lagrangea...

A stochastic meshless method is presented for solving boundary-value problems in linear elasticity that involves random material properties. The material property was modelled as a homogeneous random eld. A meshless formulation was developed to predict stochastic structural response. Unlike the nite element method, the meshless method requires no structured mesh, since only a scattered set of n...

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.

We apply a nonlinear-nonlocal field theory for numerical calculation of quasistatic fracture. The model is given by regularized nonlinear pairwise potential in peridynamic formulation. function an explicit formula with first and second derivatives. This fact allows us to write the entries tangent stiffness matrix explicitly thereby saving computational costs during assembly matrix. validate our...