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  • Open AccessOpen Access

    ARTICLE

    The Boundary Contour Method for Magneto-Electro-Elastic Media with Linear Boundary Elements

    Aimin Jiang1,2, Haojiang Ding2
    CMC-Computers, Materials & Continua, Vol.3, No.1, pp. 1-12, 2006, DOI:10.3970/cmc.2007.003.001
    Abstract This paper presents a development of the boundary contour method (BCM) for magneto-electro-elastic media. Firstly, the divergence-free of the integrand of the magneto- electro-elastic boundary element is proved. Secondly, the boundary contour method formulations are obtained by introducing linear shape functions and Green's functions (Computers & Structures, 82(2004):1599-1607) for magneto-electro-elastic media and using the rigid body motion solution to regularize the BCM and avoid computation of the corner tensor. The BCM is applied to the problem of magneto-electro-elastic media. Finally, numerical solutions for illustrative examples are compared with exact ones and those of the conventional boundary element method (BEM). The… More >

  • Open AccessOpen Access

    ARTICLE

    Numerical Modelling of Damage Response of Layered Composite Plates

    I. Smojver1, J. Sorić2
    CMC-Computers, Materials & Continua, Vol.3, No.1, pp. 13-24, 2006, DOI:10.3970/cmc.2007.003.013
    Abstract The paper addresses the problem of impact on layered fibre composites. The behaviour of composite laminates under impact loading is dependent not only on the velocity but also on the mass and geometry of the impactor. Using micromechanical Mori-Tanaka approach, mechanical properties of the laminate have been calculated utilizing the material constants of the fibre and matrix. General purpose FEM software ABAQUS has been modified by means of user written subroutines for modelling of composite laminate and rigid impactor. The kinematics of the impact has been simulated using transient dynamic analysis. Employing user defined multi point constraints, delamination zones have… More >

  • Open AccessOpen Access

    ARTICLE

    Numerical Simulation of Elastic Behaviour and Failure Processes in Heterogeneous Material

    Lingfei Gao1, Xiaoping Zheng1,2, Zhenhan Yao1
    CMC-Computers, Materials & Continua, Vol.3, No.1, pp. 25-36, 2006, DOI:10.3970/cmc.2007.003.025
    Abstract A general numerical approach is developed to model the elastic behaviours and failure processes of heterogeneous materials. The heterogeneous material body is assumed composed of a large number of convex polygon lattices with different phases. These phases are locally isotropic and elastic-brittle with the different lattices displaying variable material parameters and a Weibull-type statistical distribution. When the effective strain exceeds a local fracture criterion, the full lattice exhibits failure uniformly, and this is modelled by assuming a very small Young modulus value. An auto-select loading method is employed to model the failure process. The proposed hybrid approach is applied to… More >

  • Open AccessOpen Access

    ARTICLE

    Lagrangian Equilibrium Equations in Cylindrical and Spherical Coordinates

    K.Y. Volokh 1
    CMC-Computers, Materials & Continua, Vol.3, No.1, pp. 37-42, 2006, DOI:10.3970/cmc.2007.003.037
    Abstract Lagrangian or referential equilibrium equations for materials undergoing large deformations are of interest in the developing fields of mechanics of soft biomaterials and nanomechanics. The main feature of these equations is the necessity to deal with the First Piola-Kirchhoff, or nominal, stress tensor which is a two-point tensor referring simultaneously to the reference and current configurations. This two-point nature of the First Piola-Kirchhoff tensor is not always appreciated by the researchers and the total covariant derivative necessary for the formulation of the equilibrium equations in curvilinear coordinates is sometimes inaccurately confused with the regular covariant derivative. Surprisingly, the traditional continuum… More >

  • Open AccessOpen Access

    ARTICLE

    Three-dimensional Ehrlich-Schwoebel Barriers of W

    Z. Xu1, L. G. Zhou1, Jian Wang1, Timothy S. Cale2, Hanchen Huang1,3
    CMC-Computers, Materials & Continua, Vol.3, No.1, pp. 43-48, 2006, DOI:10.3970/cmc.2007.003.043
    Abstract Recent studies show that three-dimensional Ehrlich-Schwoebel (3D ES), or facet-facet, barriers of face-centered-cubic metals are substantially higher than other surface diffusion barriers. This paper presents the numerical results of 3D ES barriers for body-centered-cubic W, using classical molecular statics calculations and the nudged elastic band method. Results show that an adatom on W{110} has a diffusion barrier of 0.49 eV on the flat surface, 0.66 eV over a monolayer step, and 0.98 eV over a ridge to a neighboring {100} facet, which is one 3D ES barrier. More >

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