In this paper, the classic coupled Magneto-thermo-elasticity model of hollow and solid cylinders under radial-symmetric loading condition (r, t) is considered. A full analytical and the direct method based on Fourier Hankel series and Laplace transform is used, and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body fo...

The buckling of hyperelastic incompressible cylindrical shells of arbitrary length and thickness under axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are obtained using the Stroh formalism and the exact solution of Wilkes [Q. J. Mech. Appl. Math. 8:88–100, 1955] for the linearized problem. The main focus of this paper is t...

theory, Applied Acoustics, Volume 70, Issue 5, May 2009, Pages 730-736, ISSN 0003-682X, http://dx.doi.org/10.1016/j.apacoust.2008.09.003. 1 Sound transmission prediction by 3-D elasticity theory Changzheng, Steven R. Nutt 1. Department of Chemical Engineering and Materials Science, University of Southern California, 3651 Watt Way, VHE 602, Los Angeles, CA 90089-0241, United States Abstract: The...

Within the framework of hypothesis plane deformation, we consider a piecewise homogeneous isotropic elastic body with interface shear cracks near angular point interface. The exact solution corresponding problem theory elasticity for wedge-shaped is constructed by Wiener–Hopf method. On basis solution, analyze behavior stresses in vicinity point.

In this paper, on the basis of a new strain gradient elasticity theory, wave propagation in rectangular nanoplates by considering in-plane magnetic field is studied. This strain gradient theory has two gradient parameters and has the ability to compare with the nonlocal elasticity theory. From the best knowledge of author, it is the first time that this theory is used for investigating wave pro...

It has been proven by the authors that both the upper and lower bounds in energy norm of the exact solution to elasticity problems can now be obtained by using the fully compatible finite element method (FEM) and linearly conforming point interpolation method (LC-PIM). This paper examines the upper bound property of the linearly conforming radial point interpolation method (LC-RPIM), where the ...