CMES-Vol. 87, No. 3, 2012

Open Access

ARTICLE

Identification of Cavities in a Three-Dimensional Layer by Minimization of an Optimal Cost Functional Expansion
A.E. Martínez-Castro¹, I.H. Faris¹, R. Gallego¹
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.3, pp. 177-206, 2012, DOI:10.3970/cmes.2012.087.177
Abstract In this paper, the identification of hidden defects inside a three-dimen -sional layer is set as an Identification Inverse Problem. This problem is solved by minimizing a cost functional which is linearized with respect to the volume defects, leading to a procedure that requires only computations at the host domain free of defects. The cost functional is stated as the misfit between experimental and computed displacements and spherical and/or ellipsoidal cavities are the defects to locate. The identification of these cavities is based on the measured displacements at a set of points due to time-harmonic… More >

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ARTICLE

Optimal Shape of Fibers in Transmission Problem
P.P. Prochazka¹, M.J. Valek¹
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.3, pp. 207-224, 2012, DOI:10.3970/cmes.2012.087.207
Abstract In classical theories of homogenization and localization of composites the effect of shape of inclusions is not taken into account. This is probably done because of very small fibers in classical composites based on epoxy matrix. Applying more precise theoretical and numerical tools appears that the classical theories desire corrections in this direction. Today many types of materials their fiber are much bigger and with various material properties are used and behave as typical composites. They enable producers to create the fiber cross-sections and model them in various shapes, so that it is meaningful to More >

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Combinations of the Boundary Knot Method with Analogy Equation Method for Nonlinear Problems
K.H. Zheng¹, H.W. Ma^2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.3, pp. 225-238, 2012, DOI:10.3970/cmes.2012.087.225
Abstract Based on the analogy equation method and method of particular solutions, we propose a combined boundary knot method (CBKM) for solving nonlinear problems in this paper. The principle of the CBKM lies in that the analogy equation method is used to convert the nonlinear governing equation into a corresponding linear inhomogeneous one under the same boundary conditions. Then the method of particular solutions and boundary knot method are, respectively, used to construct the particular and homogeneous solutions for the newly-introduced inhomogeneous equation. Finally, the field function and its derivatives involved in the nonlinear governing equation More >

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Comprehensive Investigation into the Accuracy and Applicability of Monte Carlo Simulations in Stochastic Structural Analysis
Taicong Chen¹, Haitao Ma¹, Wei Gao²
CMES-Computer Modeling in Engineering & Sciences, Vol.87, No.3, pp. 239-270, 2012, DOI:10.3970/cmes.2012.087.239
Abstract Monte Carlo simulation method has been used extensively in probabilistic analyses of engineering systems and its popularity has been growing. While it is widely accepted that the simulation results are asymptotically accurate when the number of samples increases, certain exceptions do exist. The major objectives of this study are to reveal the conditions of the applicability of Monte Carlo method and to provide new insights into the accuracy of the simulation results in stochastic structural analysis. Firstly, a simple problem of a spring with random axial stiffness subject to a deterministic tension is investigated, using… More >

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