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...

In this paper, the vibration of composite cylindrical shell with piezoelectric layers in the interior and exterior surfaces is investigated. The composite shell without piezoelectric layers can be studied and compared the results with the results of other researchers, the cylindrical shell laminated with layers of piezoelectric vibration checked. The result is a three-dimensional elasticity equ...

In this research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. For this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. From the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...

A collocation-quadrature method is proposed and studied for the numerical solution of a singular integral equation concerned with the two-dimensional elasticity problem of a crack at a circular cavity surface. These investigations are based on an C∗-algebra approach presented in a recent paper [5] on the numerical solution of an integral equation for the notched half-plane problem.

We prove that given a stress-free elastic body there exists, for sufficiently small values of the gravitational constant, a unique static solution of the Einstein equations coupled to the equations of relativistic elasticity. The solution constructed is a small deformation of the relaxed configuration. This result yields the first proof of existence of static solutions of the Einstein equations...

An elasticity solution is obtained for a sandwich beam with a functionally graded core subjected to transverse loads. The sandwich is subdivided into four elements, the top and bottom face-sheets, and top and bottom halves of the sandwich core. Euler-Bernoulli beam theory is used to model the face-sheets and plane elasticity equations are used to analyze the core. The Young’s modulus of the cor...

This paper presents an automatic locally adaptive finite element solver for the fullycoupled EHL point contact problems. The proposed algorithm uses a posteriori error estimation in the stress in order to control adaptivity in both the elasticity and the lubrication domains. The implementation is based on the fact that the solution of the linear elasticity equation exhibits large variations clo...

Tissue elasticity reconstruction is a parameter estimation effort combining imaging, elastography, and computational modeling to build maps of soft tissue mechanical properties. One application is in the characterization of atherosclerotic plaques in diseased arteries, wherein the distribution of elastic properties is required for stress analysis and plaque stability assessment. In this paper, ...