Home / Journals / CMES / Vol.26, No.2, 2008
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  • Open Access

    ARTICLE

    On Numerical Modeling of Cyclic Elastoplastic Response of Shell Structures

    Zdenko Tonković1, Jurica Sorić1,2, Ivica Skozrit1
    CMES-Computer Modeling in Engineering & Sciences, Vol.26, No.2, pp. 75-90, 2008, DOI:10.3970/cmes.2008.026.075
    Abstract An efficient numerical algorithm for modeling of cyclic elastoplastic deformation of shell structures is derived. The constitutive model includes highly nonlinear multi-component forms of kinematic and isotropic hardening functions in conjunction with von Mises yield criterion. Therein, the closest point projection algorithm employing the Reissner-Mindlin type kinematic model, completely formulated in tensor notation, is applied. A consistent elastoplastic tangent modulus ensures high convergence rates in the global iteration approach. The integration algorithm has been implemented into a layered assumed strain isoparametric finite shell element, which is capable of geometrical nonlinearities including finite rotations. Numerical examples, considering the symmetric and nonsymmetric… More >

  • Open Access

    ARTICLE

    Atomic-scale Modeling of Self-Positioning Nanostructures

    Y. Nishidate1, G. P. Nikishkov1,2
    CMES-Computer Modeling in Engineering & Sciences, Vol.26, No.2, pp. 91-106, 2008, DOI:10.3970/cmes.2008.026.091
    Abstract Atomic-scale finite element procedure for modeling of self-positioning nanostructures is developed. Our variant of the atomic-scale finite element method is based on a meshless approach and on the Tersoff interatomic potential function. The developed algorithm is used for determination of equilibrium configuration of atoms after nanostructure self-positioning. Dependency of the curvature radius of nanostructures on their thickness is investigated. It is found that for thin nanostructures the curvature radius is considerably smaller than predicted by continuum mechanics equations. Curvature radius variation with varying orientation of crystallographic axes is also modeled and results are compared to finite element continuum anisotropic solution. More >

  • Open Access

    ARTICLE

    Natural neighbour Petrov-Galerkin Method for Shape Design Sensitivity Analysis

    Kai Wang1, Shenjie Zhou1,2, Zhifeng Nie1, Shengli Kong1
    CMES-Computer Modeling in Engineering & Sciences, Vol.26, No.2, pp. 107-122, 2008, DOI:10.3970/cmes.2008.026.107
    Abstract The natural neighbour Petrov-Galerkin method (NNPG) is one of the special cases of the generalized meshless local Petrov-Galerkin method (MLPG). This paper demonstrates the NNPG can be successfully used in design sensitivity analysis in 2D elasticity. The design sensitivity analysis method based on the local weak form (DSA-LWF) in the NNPG context is proposed. In the DSA-LWF, the local weak form of governing equation is directly differentiated with respect to design variables and discretized with NNPG to obtain the sensitivities of structural responds. The calculation of derivatives of shape functions with respect to design variables is avoided. No background meshes… More >

  • Open Access

    ARTICLE

    A Coupled Thermo-Mechanical Model for Simulating the Material Failure Evolution Due to Localized Heating

    Z. Chen1,2, Y. Gan1, J.K. Chen2
    CMES-Computer Modeling in Engineering & Sciences, Vol.26, No.2, pp. 123-138, 2008, DOI:10.3970/cmes.2008.026.123
    Abstract A coupled thermo-mechanical constitutive model with decohesion is proposed to simulate the material failure evolution due to localized heating. A discontinuous bifurcation analysis is performed based on a thermoviscoplasticity relation to identify the transition from continuous to discontinuous failure modes as well as the orientation of the discontinuous failure. The thermo-mechanical model is then implemented within the framework of the Material Point Method (MPM) so that the different gradient and divergence operators in the governing differential equations could be discretized in a single computational domain and that continuous remeshing is not required with the evolution of failure. The proposed model-based… More >

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