CMES-Vol. 48, No. 1, 2009

Open Access

ARTICLE

Fracture Analysis for Two-dimensional Plane Problems of Nonhomogeneous Magneto-electro-thermo-elastic Plates Subjected to Thermal Shock by Using the Meshless Local Petrov-Galerkin Method
W. J. Feng¹, X. Han², Y.S. Li³
CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.1, pp. 1-26, 2009, DOI:10.3970/cmes.2009.048.001
Abstract The two-dimensional (2D) fracture problem of nonhomogeneous mag -neto-electro-thermo-elastic materials under dynamically thermal loading is investigated by the meshless local Petrov-Galerkin (MLPG) method. The material parameters are assumed to vary in either the height or width direction of the plates. The Laplace-transform technique is utilized to solve the time-dependent problems. In this MLPG analysis, the moving least squares (MLS) method is adopted to approximate the physical quantities, and the Heaviside step function is taken as a test function. The validity and efficiency of the MLPG method are firstly examined. The crack problem of a nonhomogeneous More >

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Shell Buckling of Carbon Nanotubes Using Nanoindentation
L.Munteanu¹, V.Chiroiu¹
CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.1, pp. 27-42, 2009, DOI:10.3970/cmes.2009.048.027
Abstract The long-range nanoindentation response of carbon nanotubes is studied using a new method that combines the features of Nonlocal Theory and Molecular Mechanics. The deformation of compressed multiple walled carbon nanotubes is investigated, with the emphasis on the simulation of the nanoindentation technique in order to compare the present method to available experimental results. More >

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On the Convergence of Random Differential Quadrature (RDQ) Method and Its Application in Solving Nonlinear Differential Equations in Mechanics
Hua Li¹, Shantanu S. Mulay¹, Simon See²
CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.1, pp. 43-82, 2009, DOI:10.3970/cmes.2009.048.043
Abstract Differential Quadrature (DQ) is one of the efficient derivative approximation techniques but it requires a regular domain with all the points distributed only along straight lines. This severely restricts the DQ while solving the irregular domain problems discretized by the random field nodes. This limitation of the DQ method is overcome in a proposed novel strong-form meshless method, called the random differential quadrature (RDQ) method. The RDQ method extends the applicability of the DQ technique over the irregular or regular domains discretized using the random field nodes by approximating a function value with the fixed… More >

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ARTICLE

Effects of the Rayleigh Number and the Aspect Ratio on 2D Natural Convection Flows
Alfredo Nicolás¹, Blanca Bermúdez², Elsa Báez³
CMES-Computer Modeling in Engineering & Sciences, Vol.48, No.1, pp. 83-106, 2009, DOI:10.3970/cmes.2009.048.083
Abstract Numerical results of natural convection flows in two-dimensional cavities, filled with air, are presented to study the effects on the characteristics of the flows as some parameters vary: the Rayleigh number Ra and the aspect ratio A of the cavity. This kind of thermal flows may be modeled by the unsteady Boussinesq approximation in stream function-vorticity variables. The results are obtained with a simple numerical scheme, previously reported for isothermal/mixed convection flows, based mainly on a fixed point iterative process applied to the non-linear elliptic system that results after time discretization. The evolution of the flows,… More >

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