Home / Journals / CMES / Vol.91, No.4, 2013
Table of Content
  • Open Access

    ARTICLE

    Non-Singular Method of Fundamental Solutions for Two-Dimensional Isotropic Elasticity Problems

    Q. G. Liu1, B. Šarler1,2,3,4
    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.4, pp. 235-266, 2013, DOI:10.3970/cmes.2013.091.235
    Abstract The purpose of the present paper is development of a Non-singular Method of Fundamental Solutions (NMFS) for two-dimensional isotropic linear elasticity problems. The NMFS is based on the classical Method of Fundamental Solutions (MFS) with regularization of the singularities. This is achieved by replacement of the concentrated point sources by distributed sources over circular discs around the singularity, as originally suggested by [Liu (2010)] for potential problems. The Kelvin’s fundamental solution is employed in collocation of the governing plane strain force balance equations. In case of the displacement boundary conditions, the values of distributed sources are calculated directly and analytically.… More >

  • Open Access

    ARTICLE

    Numerical solution of fractional partial differential equations using Haar wavelets

    Lifeng Wang1, Zhijun Meng1, Yunpeng Ma1, Zeyan Wu2
    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.4, pp. 269-287, 2013, DOI:10.3970/cmes.2013.091.269
    Abstract In this paper, we present a computational method for solving a class of fractional partial differential equations which is based on Haar wavelets operational matrix of fractional order integration. We derive the Haar wavelets operational matrix of fractional order integration. Haar wavelets method is used because its computation is sample as it converts the original problem into Sylvester equation. Finally, some examples are included to show the implementation and accuracy of the approach. More >

  • Open Access

    ARTICLE

    A Fully Coupled Model of Non-linearWave in a Harbor

    Daguo Wang1
    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.4, pp. 289-312, 2013, DOI:10.3970/cmes.2013.091.289
    Abstract A 2-D time-domain numerical coupled model for non-linear wave forces acting on a fixed ship is developed in the present study. The whole domain is divided into the inner domain and the outer domain. The inner domain is the area around the ship section and the flow is described by the Laplace equation. The remaining area is the outer domain and the flow is defined by the higher-order Boussinesq equations in order to consider the nonlinearity of the wave motions. The matching conditions on the interfaces between the inner domain and the outer domain are the continuation of volume flux… More >

  • Open Access

    ARTICLE

    Multiple-damage detection using the best achievable flexibility change

    Q.W.Yang1, J.K.Liu2, C.H. Li3
    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.4, pp. 313-335, 2013, DOI:10.3970/cmes.2013.091.313
    Abstract A method based on best achievable flexibility change is presented in this paper to localize and quantify multiple damages in structures. The key process of the damage localization approach is the computation of the Euclidean distances between the measured flexibility change and the best achievable flexibility changes. The location of damage can be identified by searching for a value that is considerably smaller than others in these distances. For the multiple-damage case, a sequential damage localization approach is proposed to locate the damage sites one by one. With the suspected damaged elements determined, the flexibility sensitivity method is employed to… More >

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