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  • Open AccessOpen Access

    ARTICLE

    Meshless Unsteady Thermo-Elastoplastic Analysis by Triple-Reciprocity Boundary Element Method

    Yoshihiro OCHIAI1
    CMES-Computer Modeling in Engineering & Sciences, Vol.79, No.2, pp. 83-102, 2011, DOI:10.3970/cmes.2011.079.083
    Abstract In general, internal cells are required to solve unsteady thermo-elasto -plastic problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is the easy preparation of data, is lost. The conventional multiple-reciprocity boundary element method (MRBEM) cannot be used to solve thermo-elastoplastic problems, because the distribution of initial stress cannot be determined analytically. In this paper, it is shown that two-dimensional unsteady thermo-elastoplastic problems can be solved without the use of internal cells by using the triple-reciprocity BEM and a thin plate spline. The initial stress formulation is adopted and the initial stress… More >

  • Open AccessOpen Access

    ARTICLE

    Control Volume-Radial Basis Function Solution of 2D Driven Cavity Flow in Terms of the Velocity Vorticity Formulation

    C. A. Bustamante1, W. F. Florez1, H. Power2, M. Giraldo1, A. F. Hill1
    CMES-Computer Modeling in Engineering & Sciences, Vol.79, No.2, pp. 103-130, 2011, DOI:10.3970/cmes.2011.079.103
    Abstract The two-dimensional Navier Stokes system of equations for incompressible flows is solved in the velocity vorticity formulation by means of the Control Volume-Radial Basis Function (CV-RBF) method. This method is an improvement to the Control Volume Method (CVM) based on the use of Radial Basis Function (RBF) Hermite interpolation instead of the classical polynomial functions. The main advantages of the CV-RBF method are the approximation order, the meshless nature of the interpolation scheme and the presence of the PDE operator in the interpolation. Besides, the vorticity boundary values are computed in terms of the values of the velocity field at… More >

  • Open AccessOpen Access

    ARTICLE

    The Configuration Evolution and Macroscopic Elasticity of Fluid-filled Closed Cell Composites: Micromechanics and Multiscale Homogenization Modelling

    Lianhua Ma1, Bernard F. Rolfe2, Qingsheng Yang1,3, Chunhui Yang2,3
    CMES-Computer Modeling in Engineering & Sciences, Vol.79, No.2, pp. 131-158, 2011, DOI:10.3970/cmes.2011.079.131
    Abstract For fluid-filled closed cell composites widely distributed in nature, the configuration evolution and effective elastic properties are investigated using a micromechanical model and a multiscale homogenization theory, in which the effect of initial fluid pressure is considered. Based on the configuration evolution of the composite, we present a novel micromechanics model to examine the interactions between the initial fluid pressure and the macroscopic elasticity of the material. In this model, the initial fluid pressure of the closed cells and the corresponding configuration can be produced by applying an eigenstrain at the introduced fictitious stress-free configuration, and the pressure-induced initial microscopic… More >

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