Home / Journals / CMES / Vol.94, No.4, 2013
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  • Open Access

    ARTICLE

    The Cell Method: Quadratic Interpolation with Tetrahedra for 3D Scalar Fields

    Martino Pani1, Fulvia Taddei1
    CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.4, pp. 279-300, 2013, DOI:10.3970/cmes.2013.094.279
    Abstract The Cell Method (CM) is a numerical method to solve field equations starting from its direct algebraic formulation. For two-dimensional problems it has been demonstrated that using simplicial elements with an affine interpolation, the CM obtains the same fundamental equation of the Finite Element Method (FEM); using the quadratic interpolation functions, the fundamental equation differs depending on how the dual cell is defined. In spite of that, the CM can still provide the same convergence rate obtainable with the FEM. Particularly, adopting a uniform triangulation and basing the dual cells on the Gauss points of the primal edges, the CM… More >

  • Open Access

    ARTICLE

    Soft Core Plane State Structures Under Static Loads Using GDQFEM and Cell Method

    E. Viola1, F. Tornabene1, E. Ferretti1, N. Fantuzzi1
    CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.4, pp. 301-329, 2013, DOI:10.3970/cmes.2013.094.301
    Abstract The aim of this work is to study the static behavior of 2D soft core plane state structures. Deflections and inter-laminar stresses caused by forces can have serious consequences for strength and safety of these structures. Therefore, an accurate identification of the variables in hand is of considerable importance for their technical design. It is well-known that for complex plane structures there is no analytical solution, only numerical procedures can be used to solve them. In this study two numerical techniques will be taken mainly into account: the Generalized Differential Quadrature Finite Element Method (GDQFEM) and the Cell Method (CM).… More >

  • Open Access

    ARTICLE

    GDQFEM Numerical Simulations of Continuous Media with Cracks and Discontinuities

    E. Viola1, F. Tornabene1, E. Ferretti1, N. Fantuzzi1
    CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.4, pp. 331-369, 2013, DOI:10.3970/cmes.2013.094.331
    Abstract In the present paper the Generalized Differential Quadrature Finite Element Method (GDQFEM) is applied to deal with the static analysis of plane state structures with generic through the thickness material discontinuities and holes of various shapes. The GDQFEM numerical technique is an extension of the Generalized Differential Quadrature (GDQ) method and is based on the idea of conventional integral quadrature. In particular, the GDQFEM results in terms of stresses and displacements for classical and advanced plane stress problems with discontinuities are compared to the ones by the Cell Method (CM) and Finite Element Method (FEM). The multi-domain technique is implemented… More >

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