CMES-Vol. 8, No. 1, 2005

Open Access

ARTICLE

A Geometrical Approach for Solving 2D Eikonal Equation
C. K. Au¹
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 1-14, 2005, DOI:10.3970/cmes.2005.008.001
Abstract Solving the Eikonal equation is popular due to its potential applications in various areas. Numerical method is the most common approach to solve the equation. This paper presents a geometric approach to solve the equation. Each point in a two dimensional domain with a given velocity field is characterized by the least time from the source. The path of least time is obtained by the Euler equations characterizing the extrema of the variation problem. A geometric representation of the space time function for the source is constructed. The solution to the eikonal equation is obtained More >

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ARTICLE

Reinforced 2d Domain Analysis Using BEM and Regularized BEM/FEM Combination
Alexandre S. Botta¹, Wilson S. Venturini²
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 15-28, 2005, DOI:10.3970/cmes.2005.008.015
Abstract In this work a regularized boundary-finite element combination is proposed to analyse 2D elastostatic solids reinforced by fibres. The boundary element is adopted to model the matrix behaviour, while finite elements model the embedded fibres. The debonding effects caused by the adherence loss between the two materials are also considered. A three-degree polynomial is adopted to approach the displacement field along the fibre elements, while linear approximations are used to represent the bonding forces between fibres and the matrix. The non-linear debonding model is governed by a loading function written in terms of the contact More >

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ARTICLE

Eigenanalysis for Membranes with Stringers Using the Methods of Fundamental Solutions and Domain Decomposition
C.W. Chen¹, C.M. Fan¹, D.L. Young^1,2, K. Murugesan¹, C.C Tsai³
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 29-44, 2005, DOI:10.3970/cmes.2005.008.029
Abstract We use a meshless numerical method to analyze the eigenanalysis of thin circular membranes with degenerate boundary conditions, composed by different orientations and structures of stringers. The membrane eigenproblem is studied by solving the two-dimensional Helmholtz equation utilizing the method of fundamental solutions and domain decomposition technique as well. The method of singular value decomposition is adopted to obtain eigenvalues and eigenvectors of the resulting system of global linear equation. The proposed novel numerical scheme was first validated by three circular membranes which are structured with a single edge stringer, two opposite edge stringers and… More >

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A new free energy-based model of the kinematic hardening in large strain elastoplasticity
Igor Karšaj¹, Carlo Sansour², Jurica Sorić¹
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 45-60, 2005, DOI:10.3970/cmes.2005.008.045
Abstract In this paper, a free energy-based formulation incorporating the effect of kinematic hardening is proposed. The formulation is able to reproduce symmetric expressions for the back stress while incorporating the multiplicative decomposition of the deformation gradient. Kinematic hardening is combined with isotropic hardening where an associative flow rule and von Mises yield criterion are applied. An accurate and trivial wise objective integration algorithm employing the exponential map is developed. In order to ensure a high convergence rate in the global iteration approach, an algorithmic tangent operator is derived. The computational algorithm is implemented and applied More >

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903
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ARTICLE

Mining of Data from Evolutionary Algorithms for Improving Design Optimization
Y.S. Lian¹, M.S. Liou²
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 61-72, 2005, DOI:10.3970/cmes.2005.008.061
Abstract This paper focuses on integration of computational methods for design optimization based on data mining and knowledge discovery. We propose to use radial basis function neural networks to analyze the large database generated from evolutionary algorithms and to extract the cause-effect relationship, between the objective functions and the input design variables. The aim is to improve the optimization process by either reducing the computation cost or improving the optimal. Also, it is hoped to provide designers with the salient design pattern about the problem under consideration, from the physics-based simulations. The proposed technique is applied More >

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Dual Boundary Element Method for Instability Analysis of Cracked Plates
J. Purbolaksono¹, M. H. Aliabadi^2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 73-90, 2005, DOI:10.3970/cmes.2005.008.073
Abstract This paper presents the dual boundary integral equations for the buckling analysis of the shear deformable cracked plates. The domain integrals which appear in this formulation are transferred to boundary integrals using the dual reciprocity method. The plate buckling displacement and hypersingular traction integral equations are presented as a standard eigenvalue problem, which would allow direct evaluation of the critical load factor and buckling modes. Several examples with different geometries and boundary conditions are presented to demonstrate the accuracy of the proposed formulation. More >

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