CMC-Vol. 44, No. 3, 2014

Open Access

ARTICLE

Computing the Electric and Magnetic Green’s Functions in General Electrically Gyrotropic Media
V. G. Yakhno¹, B. Çiçek²
CMC-Computers, Materials & Continua, Vol.44, No.3, pp. 141-166, 2014, DOI:10.3970/cmc.2014.044.141
Abstract A method for an approximate computation of the electric and magnetic Green’s functions for the time-harmonic Maxwell’s equations in the general electrically gyrotropic materials is proposed. This method is based on the Fourier transform meta-approach: the equations for electric and magnetic fields are written in terms of images of the Fourier transform with respect to space variables and as a result of it the linear algebraic systems for finding Fourier images of the columns of the Green’s functions are obtained. The explicit formulas for the solutions of the obtained systems have been found. Finally, elements More >

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ARTICLE

Bending, Free Vibration and Buckling Analysis of Functionally Graded Plates via Wavelet Finite Element Method
Hao Zuo^1,2, Zhibo Yang^1,2,3, Xuefeng Chen^1,2, Yong Xie⁴, Xingwu Zhang^1,2
CMC-Computers, Materials & Continua, Vol.44, No.3, pp. 167-204, 2014, DOI:10.3970/cmc.2014.044.167
Abstract Following previous work, a wavelet finite element method is developed for bending, free vibration and buckling analysis of functionally graded (FG) plates based on Mindlin plate theory. The functionally graded material (FGM) properties are assumed to vary smoothly and continuously throughout the thickness of plate according to power law distribution of volume fraction of constituents. This article adopts scaling functions of two-dimensional tensor product BSWI to form shape functions. Then two-dimensional FGM BSWI element is constructed based on Mindlin plate theory by means of two-dimensional tensor product BSWI. The proposed two-dimensional FGM BSWI element possesses More >

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ARTICLE

Wrinkling Analysis in a Film Bonded to a Compressible Compliant Substrate in Large Deformation
Zhicheng Ou¹, Xiaohu Yao¹, Xiaoqing Zhang^1,2, Xuejun Fan³
CMC-Computers, Materials & Continua, Vol.44, No.3, pp. 205-222, 2014, DOI:10.3970/cmc.2014.044.205
Abstract The buckling of a thin film on a compressible compliant substrate in large deformation is studied. A finite-deformation theory is developed to model the film and the substrate under different original strain-free configurations. The neo-Hookean constitutive relation is applied to describe the substrate. Through the perturbation analysis, the analytical solution for this highly nonlinear system is obtained. The buckling wave number, amplitude and critical condition are obtained. Comparing with the traditional linear model, the buckling amplitude decreases. The wave number increases and relates to the prestrain. With the increment of Poisson’s ratio of the substrate, More >

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