Home / Journals / CMES / Vol.76, No.1, 2011
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  • Open AccessOpen Access

    ARTICLE

    Numerical Solutions of 2-D Linear Elastostatic Problems by Network Method

    J.L. Morales1, J.A. Moreno2, F. Alhama3
    CMES-Computer Modeling in Engineering & Sciences, Vol.76, No.1, pp. 1-18, 2011, DOI:10.3970/cmes.2011.076.001
    Abstract Following the rules of the network simulation method, a general purpose network model is designed and numerically solved for linear elastostatic problems formulated by the Navier equations. Coupled and nonlinear terms of the PDE, as well as boundary conditions, are easily implemented in the model by means of general purpose electrical devices named controlled current (or voltage) sources. The complete model is run in the commercial software PSPICE and the numerical results are post-processed by MATLAB to facilitate graphical representation. To demonstrate the reliability and efficiency of the proposed method two applications are presented: a cantilever loaded at one end… More >

  • Open AccessOpen Access

    ARTICLE

    RKPM Approach to Elastic-Plastic Fracture Mechanics with Notes on Particles Distribution and Discontinuity Criteria

    Mohammad Mashayekhi1, Hossein M. Shodja1,2, Reza Namakian1
    CMES-Computer Modeling in Engineering & Sciences, Vol.76, No.1, pp. 19-60, 2011, DOI:10.3970/cmes.2011.076.019
    Abstract A meshless method called reproducing kernel particle method (RKPM) is exploited to cope with elastic-plastic fracture mechanics (EPFM) problems. The idea of arithmetic progression is assumed to place particles within the refinement zone in the vicinity of the crack tip. A comparison between two conventional treatments, visibility and diffraction, to crack discontinuity is conducted. Also, a tracking to find the appropriate diffraction parameter is performed. To assess the suggestions made, two mode I numerical simulations, pure tension and pure bending tests, are executed. Results including J integral, crack mouth opening displacement (CMOD), and plastic zone size and shape are compared… More >

  • Open AccessOpen Access

    ARTICLE

    Iterative Analysis of Pore-Dynamic Models Discretized by Meshless Local Petrov-Galerkin Formulations

    Delfim Soares Jr.1
    CMES-Computer Modeling in Engineering & Sciences, Vol.76, No.1, pp. 61-82, 2011, DOI:10.3970/cmes.2011.076.061
    Abstract This work proposes an iterative procedure to analyse pore-dynamic models discretized by time-domain Meshless Local Petrov-Galerkin formulations. By considering an iterative procedure based on a successive renew of variables, each phase of the coupled problem in focus can be treated separately, uncoupling the governing equations of the model. Thus, smaller and better conditioned systems of equations are obtained, rendering a more attractive methodology. A relaxation parameter is introduced here in order to improve the efficiency of the iterative procedure and an expression to compute optimal values for the relaxation parameter is discussed. Linear and nonlinear models are focused, highlighting that… More >

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