CMES-Vol. 13, No. 3, 2006

Open Access

ARTICLE

Interaction of Two Parallel Short Fibers in the Matrix at Loss of Stability
A. N. Guz, V. A. Dekret¹
CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 165-170, 2006, DOI:10.3970/cmes.2006.013.165
Abstract Stability problem of composite material reinforced by two parallel short fibers is solved. The problem is formulated with application of equations of linearized three-dimensional theory of stability. The composite is modeled as piecewise-homogeneous medium. The influence of geometrical and mechanical parameters of the material on critical strain is investigated. More >

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A comparison study on different MLPG (LBIE) formulations
V. Vavourakis¹, E. J. Sellountos², D. Polyzos³
CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 171-184, 2006, DOI:10.3970/cmes.2006.013.171
Abstract Comparison studies on the accuracy provided by five different elastostatic Meshless Local Petrov-Galerkin (MLPG) type formulations, based on Local Boundary Integral Equation (LBIE) considerations, are made. The main differences of these MLPG(LBIE) formulations, as they compared to each other, are concentrated on the treatment of tractions on the local and global boundaries and the way of imposing the boundary conditions of the elastostatic problem. Both the Moving Least Square (MLS) approximation scheme and the Radial Basis Point Interpolation Functions (RBPIF) are exploited for the interpolation of the interior and boundary variables. Two representative elastostatic problems More >

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Evaluation of T-stress for An Interface Crack between Dissimilar Anisotropic Materials Using the Boundary Element Method
P.D. Shah¹, C.L. Tan^1,2, X. Wang¹
CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 185-198, 2006, DOI:10.3970/cmes.2006.013.185
Abstract In this paper, the path independent mutual or M-integral for the computation of the T-stress for interface cracks between dissimilar anisotropic, linear elastic solids, is developed. The required auxiliary field solution is derived from the solution of the problem of an anisotropic composite wedge subjected to a point force at its apex. The Boundary Element Method (BEM) is employed for the numerical stress analysis in which special crack-tip elements with the proper oscillatory traction singularity are used. The successful implementation of the procedure for evaluating the T-stress in a bi-material interface crack and its application are demonstrated More >

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Thermomechanical Analysis of Functionally Graded Composites under Laser Heating by the MLPG Method
H. K. Ching^1,2, J. K. Chen²
CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 199-218, 2006, DOI:10.3970/cmes.2006.013.199
Abstract The Meshless Local Petrov-Galerkin (MLPG) method is a novel numerical approach similar to finite element methods, but it allows the construction of the shape function and domain discretization without defining elements. In this study, the MLPG analysis for transient thermomechanical response of a functionally graded composite heated by Gaussian laser beams is presented. The composite is modeled as a 2-D strip which consists of metal and ceramic phases with the volume fraction varying over the thickness. Two sets of the micromechanical models are employed for evaluating the effective material properties, respectively. Numerical results are presented More >

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Stability analysis for inverse heat conduction problems
Xianwu Ling¹, S.N. Atluri¹
CMES-Computer Modeling in Engineering & Sciences, Vol.13, No.3, pp. 219-228, 2006, DOI:10.3970/cmes.2006.013.219
Abstract In this paper, two matrix algebraic tools are provided for studying the solution-stabilities of inverse heat conduction problems. The propagations of the computed temperature errors, as caused by a noise in temperature measurement, are presented. The spectral norm analysis reflects the effect of the computational time steps, the sensor locations and the number of future temperatures on the computed error levels. The Frobenius norm analysis manifests the dynamic propagations of the computed errors. As an application of the norm analysis, we propose a method for the best positioning of the thermocouples. More >

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