We prove that the critical points of the 3d nonlinear elasticity functional on shells of small thickness h, around the mid-surface S of arbitrary geometry, converge as h → 0 to the critical points of the von Kármán functional on S, recently derived in [14]. We prove the same convergence result for the weak solutions to the static equilibrium equations (formally the EulerLagrange equations assoc...

The present paper summarizes the generalized ®nite element method formulation and demonstrates some of its advantages over traditional ®nite element methods to solve complex, three-dimensional (3D) structural mechanics problems. The structure of the sti€ness matrix in the GFEM is compared to the corresponding FEM matrix. The performance of the GFEM and FEM in the solution of a 3D elasticity pro...

In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform a...

In this paper, the price elasticity of electricity demand, representing the sensitivity of customer demand to the price of electricity, has been estimated for South Australia. We first undertake a review of the scholarly literature regarding electricity price elasticity for different regions and systems. Then we perform an empirical evaluation of the historic South Australian price elasticity, ...

Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materials, elasticity interface problems come into play. The solution of three dimensional (3D) elasticity interface problems is significantly more difficult than that of elliptic counterparts due to the coupled vector comp...

The use of haptic interfaces in surgery could provide the surgeon useful sensing information about the patient tissues. Our goal in this work, is to use the haptic interface to obtain some sample points on the surface of an object or organ tissue in medical applications. This elasticity information feeds an artificial neural network. The output of the neural network is an approximation of the c...

The implementation of a new 8-node finite element for solving 3D elasticity static problems is considered. idea this based on the projection rare mesh FEM scheme into space lower dimension. resulting hexahedral has number features compared to classical polyline element. This one integration point in eight element, as well presence four parameters that allow you adjust convergence computational ...

BESLE is the first available parallel open-source code to analyse mechanical behaviour of heterogeneous materials using boundary element method (BEM) in 3D and both an elastostatic elastodynamic setting. Unlike all other codes that are presently available, software presented here capable simulating isotropic anisotropic comprised single or multiple domains. Furthermore, user-interface has been ...