The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. Modulus elasticity and the density material beams assumed to vary along thickness length according power-law exponential functions, respectively. governing differential equations motion established by means Hamilton’s principl...

This paper proposes a new strategy based on the proper generalized decomposition method to solve forced vibration problem for bi-dimensional piezoelectric composite beams. The approach considers classical harmonic space-frequency description of dynamic and redefines it by approximating displacement electric potential fields as sum separated functions x (beam axis coordinate), z (thickness coord...

We show how we can exploit our recently proposed algorithms for the solution of contact problem of elasticity to the 2D analysis of the interfacial debonding of samples that consist of several fibres embedded in a homogeneous matrix, aligned in the longitudal direction. The performance of the algorithm is demonstrated on analysis of deformations of samples of the fibrous composite material.

PURPOSE To evaluate the interobserver reproducibility of two-dimensional shear wave elastography (2D-SWE) in measuring liver stiffness (LS) and to investigate factors related to liver 2D-SWE. MATERIALS AND METHODS A prospective study was conducted between August 2011 and August 2012 in rheumatoid arthritis patients who had been treated with methotrexate. Interobserver reproducibility of 2D-SW...

The objective of this paper is the computation Airy stress function a two-layer composite beam with interlayer slip. For calculation upper and lower layer functions an iterative solution procedure from Boley-Tolins adapted, which was originally introduced for isotropic single beams under plane assumptions. Considering continuity equations interface stress, vertical deflection linear law between...