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  • Open AccessOpen Access

    ARTICLE

    Enforcing Boundary Conditions in Micro-Macro Transition for Second Order Continuum

    Łukasz Kaczmarczyk1
    CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 55-62, 2006, DOI:10.3970/cmc.2006.004.055
    Abstract In recent years the multiscale computational homogenisation has been extensively developed. Such micro-macro modelling does not require any constitutive assumptions at the macro-level. The multi-scale computational homogenisation has also been extended for the second order continuum at the macro level Kouznetsova V.G., Geers M.G.D., and Brekelmans V.A.M (2004). The second-order framework is based on incorporation of the gradient of macroscopic deformation in micro to macro multiscale transition. The introduction of the secondorder continuum at macro-scale takes into account the size effect and gives more accurate results in case of insufficient scale separation. The general framework of computational homogenisation has been… More >

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    1115

  • Open AccessOpen Access

    ARTICLE

    Finite Element modeling of Nomex® honeycomb cores : Failure and effective elastic properties

    L. Gornet1, S. Marguet2, G. Marckmann3
    CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 63-74, 2006, DOI:10.3970/cmc.2006.004.063
    Abstract The purpose of the present study is to determine the components of the effective elasticity tensor and the failure properties of Nomex® honeycomb cores. In order to carry out this study, the NidaCore software, a program dedicated to Nomex®Cores predictions, has been developed using the Finite Element tool Cast3M-CEA. This software is based on periodic homogenization techniques and on the modelling of structural instability phenomena. The homogenization of the periodic microstructure is realized thanks to a strain energy approach. It assumes the mechanical equivalence between the microstructures of a RVE and a similar homogeneous macroscopic volume. The key point of… More >

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    1185

  • Open AccessOpen Access

    ARTICLE

    An Analytical Model for Shot-Peening Induced Residual Stresses

    Shengping Shen1, S. N. Atluri2
    CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 75-86, 2006, DOI:10.3970/cmc.2006.004.075
    Abstract To improve the fatigue life of metallic components, especially in aerospace industry, shot peening is widely used. There is a demand for the advancement of numerical algorithms and methodologies for the estimation of residual stresses due to shot peening. This paper describes an analytical model to simulate the shot peening process and to estimate the residual stress field in the surface layer. In this reasonable, convenient, and simple model, no empirical relation is used, and the effects of shot velocity are included. The results of validation of this model against the test data are very good. More >

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    1697

  • Open AccessOpen Access

    ARTICLE

    Asymptotic Solutions for Multilayered Piezoelectric Cylinders under Electromechanical Loads

    Chih-Ping Wu1, Yun-Siang Syu
    CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 87-108, 2006, DOI:10.3970/cmc.2006.004.087
    Abstract Based on the three-dimensional (3D) piezoelectricity, we presented asymptotic solutions for multilayered piezoelectric hollow cylinders using the method of perturbation. The material properties in the general formulation are firstly regarded to be heterogeneous through the thickness, and then specified as the layerwise step functions in the cases of multilayered cylinders. The transverse normal load and normal electric displacement are respectively applied on the lateral surfaces of the cylinders. The boundary conditions of cylinders are considered to be simply supported at the two edges. In the formulation the twenty-two basic equations of piezoelectricity are reduced to eight differential equations in terms… More >

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    932

  • Open AccessOpen Access

    ARTICLE

    Meshless Local Petrov-Galerkin Method for Plane Piezoelectricity

    J. Sladek1, V. Sladek1, Ch. Zhang2, F. Garcia-Sanche3, M. Wünsche2
    CMC-Computers, Materials & Continua, Vol.4, No.2, pp. 109-118, 2006, DOI:10.3970/cmc.2006.004.109
    Abstract Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve the boundary or the initial-boundary value problems for piezoelectric solids are required. In this paper, the Meshless local Petrov-Galerkin (MLPG) method with a Heaviside step function as the test functions is applied to solve two-dimensional (2-D) piezoelectric problems. The mechanical fields are described by the equations of motion with an inertial term.… More >

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