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  • Open Access

    ARTICLE

    Application of Meshless Local Petrov-Galerkin (MLPG) Method to Three Dimensional Elasto-Plastic Problems Based on Deformation Theory of Plasticity

    A. Rezaei Mojdehi1,2, A. Darvizeh3, A. Basti2

    CMES-Computer Modeling in Engineering & Sciences, Vol.77, No.1, pp. 1-32, 2011, DOI:10.3970/cmes.2011.077.001

    Abstract In this paper, a meshless method based on the local petrov-galerkin approach is proposed for the three dimensional (3D) elasto-plastic problems. Galerkin weak-form formulation is applied to derive the discrete governing equations. A weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a unit test function. Nodal points are distributed in the 3D analyzed domain and each node is surrounded by a cubic sub-domain to which a local integral equation is applied. Three dimensional Moving Least-Square (MLS) approximation is used as shape function to approximate More >

  • Open Access

    ARTICLE

    A Pseudo Flow Theory of Plasticity Based Constitutive Equation for Inverse Analysis Method and its Industry Verification in Sheet Metal Stamping

    B.T. Tang1,2, X.Y. Lu1, H. Xie2

    CMES-Computer Modeling in Engineering & Sciences, Vol.73, No.2, pp. 171-182, 2011, DOI:10.3970/cmes.2011.073.171

    Abstract The Traditional Inverse Analysis Method (TIAM) of sheet metal stamping has the shortcoming of neglecting the effects of deformation history on stress prediction. An Updated Inverse Analysis Method (UIAM) is proposed based on the final workpiece in Euler coordinate system. The UIAM uses the constitutive equation based on pseudo flow theory of plasticity to consider the loading history. In order to avoid numerous iterations to ensure the numerical stability in Newton-Raphson scheme to obtain plastic multiplier ∆λ, the equation in unknown stress vectors is transformed into a scalar equation using the notion of the equivalent More >

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