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  • Open Access


    Dispersion Relations of Axisymmetric Wave Propagation in Finite Pre-Stretched Compound Circular Cylinders Made from Highly Elastic Incompressible Materials

    Surkay D. Akbarov1,2,3, Mugan S. Guliev4, Ramazan Tekercioglu5

    CMES-Computer Modeling in Engineering & Sciences, Vol.55, No.1, pp. 1-32, 2010, DOI:10.3970/cmes.2010.055.001

    Abstract Dispersion relations of axisymmetric longitudinal wave propagation in a finite pre-strained compound (bi-material) cylinder made from high elastic incompressible materials are investigated within the scope of a piecewise homogeneous body model utilizing three-dimensional linearized theory wave propagation in the initially stressed body. The materials of the inner and outer cylinders are assumed to be neo-Hookean. The numerical results regarding the influence of the initial strains in the inner and outer cylinders on the wave dispersion are presented and discussed. These results are obtained for the case where the material of the inner solid cylinder is stiffer than that of the… More >

  • Open Access


    Large Deformation Analyses of Space-Frame Structures, Using Explicit Tangent Stiffness Matrices, Based on the Reissner variational principle and a von Karman Type Nonlinear Theory in Rotated Reference Frames

    Yongchang Cai1,2, J.K. Paik3, Satya N. Atluri3

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 335-368, 2009, DOI:10.3970/cmes.2009.054.335

    Abstract This paper presents a simple finite element method, based on assumed moments and rotations, for geometrically nonlinear large rotation analyses of space frames consisting of members of arbitrary cross-section. A von Karman type nonlinear theory of deformation is employed in the updated Lagrangian co-rotational reference frame of each beam element, to account for bending, stretching, and torsion of each element. The Reissner variational principle is used in the updated Lagrangian co-rotational reference frame, to derive an explicit expression for the (12x12)symmetrictangent stiffness matrix of the beam element in the co-rotational reference frame. The explicit expression for the finite rotation of… More >

  • Open Access


    High-Order Unstructured One-Step PNPMSchemes for the Viscous and Resistive MHD Equations

    M. Dumbser1, D.S. Balsara2

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 301-334, 2009, DOI:10.3970/cmes.2009.054.301

    Abstract In this article we use the new, unified framework of high order one-step PNPM schemes recently proposed for inviscid hyperbolic conservation laws by Dumbser, Balsara, Toro, and Munz (2008) in order to solve the viscous and resistive magnetohydrodynamics (MHD) equations in two and three space dimensions on unstructured triangular and tetrahedral meshes. The PNPM framework uses piecewise polynomials of degree N to represent data in each cell and piecewise polynomials of degree M ≥ N to compute the fluxes and source terms. This new general machinery contains usual high order finite volume schemes (N = 0) and discontinuous Galerkin finite… More >

  • Open Access


    On the Approximation Methods for the Solution of a Coefficient Inverse Problem for a Transport-like Equation

    Arif Amirov1, Zekeriya Ustaoglu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 283-300, 2009, DOI:10.3970/cmes.2009.054.283

    Abstract We present the solvability of a two space dimensional coefficient inverse problem for a transport-like equation and investigate the approximate solution of this problem with the use of centered difference formulas and a symbolic approximation method. Since this inverse problem is overdetermined, which is the main difficulty in studying of its solvability, it is replaced by a related determined one by using some extension of the class of unknown functions. More >

  • Open Access


    Cell Method Analysis of Crack Propagation in Tensioned Concrete Plates

    E. Ferretti1

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 253-282, 2009, DOI:10.3970/cmes.2009.054.253

    Abstract In this study, the problem of finding the complete trajectory of propagation and the limiting load in plates with internal straight cracks is extended to the non-linear field. In particular, results concerning concrete plates in bi-axial tensile loading are shown. The concrete constitutive law adopted for this purpose is monotonic non-decreasing, as following according to previous studies of the author on monotonic mono-axial loading. The analysis is performed in a discrete form, by means of the Cell Method (CM). The aim of this study is both to test the new concrete constitutive law in biaxial tensile load and to verify… More >

  • Open Access


    Interface Crack Problems in Anisotropic Solids Analyzed by the MLPG

    J. Sladek1, V. Sladek1, M. Wünsche2, Ch. Zhang2

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 223-252, 2009, DOI:10.3970/cmes.2009.054.223

    Abstract A meshless method based on the local Petrov-Galerkin approach is proposed, to solve the interface crack problem between two dissimilar anisotropic elastic solids. Both stationary and transient mechanical and thermal loads are considered for two-dimensional (2-D) problems in this paper. A Heaviside step function as the test functions is applied in the weak-form to derive local integral equations. Nodal points are spread on the analyzed domain, and each node is surrounded by a small circle for simplicity. The spatial variations of the displacements and temperature are approximated by the Moving Least-Squares (MLS) scheme. After performing the spatial integrations, one obtains… More >

  • Open Access


    An Iterative Time-Domain Algorithm for Acoustic-Elastodynamic Coupled Analysis Considering Meshless Local Petrov-Galerkin Formulations

    Delfim Soares Jr.1

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 201-222, 2009, DOI:10.3970/cmes.2009.054.201

    Abstract In this work, meshless methods based on the local Petrov-Galerkin approach are employed for the time-domain analysis of interacting fluid and solid systems. For the spatial discretization of the acoustic fluid and elastodynamic solid sub-domains involved in the coupled analyses, MLPG formulations adopting Gaussian weight functions as test functions are considered, as well as the moving least square method is used to approximate the incognita fields. For time discretization, the Houbolt's method is adopted. The fluid-solid coupled analysis is accomplished by an iterative algorithm. In this iterative approach, each sub-domain of the global model is analysed independently (as an uncoupled… More >

  • Open Access


    On the Location of Zeroes of Polynomials from the Stability Analysis of Novel Strong-Form Meshless Random Differential Quadrature Method

    Hua Li1, Shantanu S. Mulay1, Simon See2

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 147-200, 2009, DOI:10.3970/cmes.2009.054.147

    Abstract In this paper, the stability characteristics of a novel strong-form meshless method, called the random differential quadrature (RDQ), are studied using the location of zeros or roots of its characteristic polynomials with respect to unit circle in complex plane by discretizing the domain with the uniform or random field nodes. This is achieved by carrying out the RDQ method stability analysis for the 1st-order wave, transient heat conduction and transverse beam deflection equations using both the analytical and numerical approaches. The RDQ method extends the applicability of the differential quadrature (DQ) method over irregular domain, discretized by randomly or uniformly… More >

  • Open Access


    Radiative Properties Estimation with the Luus-Jaakola and the Particle Collision Algorithm

    D. C. Knupp1, A. J. Silva Neto2, W. F. Sacco3

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 121-146, 2009, DOI:10.3970/cmes.2009.054.121

    Abstract The inverse analysis of radiative transfer in participating media has several practical applications. In most cases, the inverse problem is formulated implicitly and the solution is given by the minimization of an objective function. Gradient based methods have largely been used for that purpose, but it has been observed in recent years an increasing interest in the use of stochastic methods. In this work, it is proposed the use of the Luus-Jaakola method and the Particle Collision Algorithm. The former is a random search optimization method that has been successfully employed mainly in chemical engineering, and the latter is a… More >

  • Open Access


    Full-Field Analysis of a Functionally Graded Magnetoelectroelastic Nonhomogeneous Layered Half-Plane

    Chien-Ching Ma1,2, Jui-Mu Lee2

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 87-120, 2009, DOI:10.3970/cmes.2009.054.087

    Abstract In this study, the two-dimensional problem of elastic, electric, and magnetic fields induced by generalized line forces and screw dislocations applied in a functionally graded magnetoelectroelastic layered half-plane is analyzed. It is assumed that the material properties vary exponentially along the thickness direction. The full-field solutions for the transversely isotropic magnetoelectroelastic nonhomogeneous layered half-plane are obtained using the Fourier-transform technique. For the case that material properties are continuous at the interface, it is shown that all magnetoelectroelastic fields are continuous at the interface. Furthermore, this functionally graded layered half-plane has the identical contour slopes for the generalized stress \pmbsy(j)across the… More >

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