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  • Open Access

    ARTICLE

    Meshless Method for Crack Analysis in Functionally Graded Materials with Enriched Radial Base Functions

    P.H. Wen1, M.H. Aliabadi2, Y.W. Liu3

    CMES-Computer Modeling in Engineering & Sciences, Vol.30, No.3, pp. 133-148, 2008, DOI:10.3970/cmes.2008.030.133

    Abstract Based on the variation of potential energy, the element-free Galerkin method (MFGM) has been investigated for structures with crack on the basis of radial base function interpolation. An enriched radial base function is introduced to capture the singularities of stress at the crack tips. The advantages of the finite element method are remained in this method and there is a significant improvement of accuracy, particularly for the crack problems of fracture mechanics. The applications of the element-free Galerkin method with enriched radial base function to two-dimensional fracture mechanics in functionally graded materials have been presented and comparisons have been made… More >

  • Open Access

    ARTICLE

    A Rate Dependent Constitutive Model for Glass-Fibre / Epoxy-Matrix Woven Fabrics

    S. Marguet1, P. Rozycki1, L. Gornet1

    CMC-Computers, Materials & Continua, Vol.4, No.3, pp. 119-136, 2006, DOI:10.3970/cmc.2006.004.119

    Abstract This paper deals with the modelling until rupture of composite structures made of glass-fibre / epoxy-resin woven fabrics submitted to dynamic loadings. The model is built at the mesoscale of the elementary ply. It takes into account the slightly nonlinear brittle behaviour of the fibres under tensile sollicitations, their nonlinear behaviour in compression as well as the strongly non linear and irreversible behaviour of the ply in shear. Strain rate effects are also introduced and special attention is paid to the objectivity of the model in the context of finite element calculation. Therefore the choice of a delayed damage mesomodel… More >

  • Open Access

    ARTICLE

    Meshless Local Petrov-Galerkin (MLPG) Method for Laminate Plates under Dynamic Loading

    J. Sladek1, V. Sladek1, P. Stanak1, Ch. Zhang2

    CMC-Computers, Materials & Continua, Vol.15, No.1, pp. 1-26, 2010, DOI:10.3970/cmc.2010.015.001

    Abstract A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory. Both stationary and transient dynamic loads are analyzed here. The bending moment and the shear force expressions are obtained by integration through the laminated plate for the considered constitutive equations in each lamina. The Reissner-Mindlin theory reduces the original three-dimensional (3-D) thick plate problem to a two-dimensional (2-D) problem. Nodal points are randomly distributed over the mean surface of the considered plate. Each node is the center of a circle surrounding this node. The weak-form on small subdomains with a Heaviside step… More >

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