CMES-Vol. 65, No. 1, 2010

Open Access

ARTICLE

Optimum Design of a Thin Elastic Rod Using a Genetic Algorithm
Veturia Chiroiu, Ligia Munteanu¹, Adrian Toader²
CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 1-26, 2010, DOI:10.3970/cmes.2010.065.001
Abstract The best methods of the genetic algorithms (GA) are obtained in order to optimize the shape of a thin elastic rod subjected to spatial bending and torsion. The optimal cross-section is determined from the minimum volume condition, against the three modal bucklings. More >

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Analysis of Thermoelastic Waves in a Two-Dimensional Functionally Graded Materials Domain by the Meshless Local Petrov-Galerkin (MLPG) Method
Ahmad Akbari R.¹, Akbar Bagri², Stéphane P. A. Bordas^3,4, Timon Rabczuk⁵
CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 27-74, 2010, DOI:10.3970/cmes.2010.065.027
Abstract This contribution focuses on the simulation of two-dimensional elastic wave propagation in functionally graded solids and structures. Gradient volume fractions of the constituent materials are assumed to obey the power law function of position in only one direction and the effective mechanical properties of the material are determined by the Mori-Tanaka scheme. The investigations are carried out by extending a meshless method known as the Meshless Local Petrov-Galerkin (MLPG) method which is a truly meshless approach to thermo-elastic wave propagation. Simulations are carried out for rectangular domains under transient thermal loading. To investigate the effect of material composition on the… More >

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Assessment of Pressure Waves Generated by Explosive Loading
D. Kakogiannis¹, D. Van Hemelrijck¹, J. Wastiels¹, S. Palanivelu², W. Van Paepegem², J. Vantomme³, A. Kotzakolios⁴, V. Kostopoulos⁴
CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 75-94, 2010, DOI:10.3970/cmes.2010.065.075
Abstract In the present study the estimation of the blast wave by two types of finite element methods is investigated: Eulerian multi-material modeling and pure Lagrangian. The main goal is to compare and study their ability to predict the clearing effect during blast. Element shape and improvements on the codes are also considered. For the Lagrangian finite element models the load is applied by using an empirical method, deriving from databases, for the time-spatial distribution of the pressure profiles. In the ideal case of the above method the blast load is applied as an equivalent triangular pulse to represent the decay… More >

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Application of Residual Correction Method on Error Analysis of Numerical Solution on the non-Fourier Fin Problem
Hsiang-Wen Tang, Cha’o-Kung Chen¹, Chen-Yu Chiang
CMES-Computer Modeling in Engineering & Sciences, Vol.65, No.1, pp. 95-106, 2010, DOI:10.3970/cmes.2010.065.095
Abstract Up to now, solving some nonlinear differential equations is still a challenge to many scholars, by either numerical or theoretical methods. In this paper, the method of the maximum principle applied on differential equations incorporating the Residual Correction Method is brought up and utilized to obtain the upper and lower approximate solutions of nonlinear heat transfer problem of the non-Fourier fin. Under the fundamental of the maximum principle, the monotonic residual relations of the partial differential governing equation are established first. Then, the finite difference method is applied to discretize the equation, converting the differential equation into the mathematical programming… More >

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