In Parts I (Bonet et al., 2015) and II (Gil 2016) of this series, a novel computational framework was presented for the numerical analysis large strain fast solid dynamics in compressible nearly/truly incompressible isothermal hyperelasticity. The methodology exploited use system first order Total Lagrangian conservation laws formulated terms linear momentum triplet deformation measures compris...

We estimate a generalized linear model to examine adult and teenage cigarette demand. Out analysis focuses on the extent to which excise taxes and regulations restricting smoking in public places affect cigarette consumption. The adult results indicate that the price elasticity of demand is unstable over time, ranging from 0.06 in 1970 to -0.23 in 1985. These estimates are lower than most found...

This paper concentrates on the reflection of plane waves in the mixture of generalized thermo elastic solid half-space. There exists quasi dilatational waves i.e. qP1, qP2, qT and two rotational waves S1, S2 in a two dimensional model of the solid. The boundary conditions are solved to obtain a system of five non-homogeneous equations for amplitude ratios. These amplitude ratios are found to de...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...

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...

A generalized theory of elasticity, taking into account the rotational degrees of freedom of point bodies constituting a continuum, was proposed at the beginning of the twentieth century by the Cosserat brothers. We report the experimental observation of coupled rotational-translational modes in a noncohesive granular phononic crystal. While absent in the classical theory of elasticity, these e...

Dual conservation laws of linear planar elasticity theory have been systematically studied based on stress function formalism. By employing generalized symmetry transformation or Lie–B€acklund transformation, a class of new dual conservation laws in planar elasticity have been discovered based on Noether theorem and its Bessel–Hagen generalization. These dual conservation laws represent variati...

BACKGROUND Nowadays, shape memory alloys (SMAs) and in particular Ni-Ti alloys are commonly used in bioengineering applications as they join important qualities as resistance to corrosion, biocompatibility, fatigue resistance, MR compatibility, kink resistance with two unique thermo-mechanical behaviors: the shape memory effect and the pseudoelastic effect. They allow Ni-Ti devices to undergo l...

Based on the thermo elasticity, using finite element method to analyze the stress of femur-prosthesis system when the hip joint has been replaced, a reference for the selection of prosthesis material is presented after discussing the thermo physical property of material which has an effect on the stress of femur-prosthesis system. We assume that prosthesis, bone cement and femur are linear elas...

In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this genera...