Home / Journals / CMES / Vol.42, No.3, 2009
Table of Content
  • Open Access

    ARTICLE

    Stability Problem of Composite Material Reinforced by Periodical Row of Short Fibers

    A.N.Guz1, V.A.Dekret1
    CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.3, pp. 177-186, 2009, DOI:10.3970/cmes.2009.042.177
    Abstract Stability problem of composite material reinforced by periodical rows of short fibers is solved. The problem is formulated with application of equations of linearized three-dimensional theory of stability. The composite is modeled as piecewise-homogeneous medium. The influence of geometrical and mechanical parameters of the composite to the critical strain is investigated. More >

  • Open Access

    ARTICLE

    Variational formulation and Nonsmooth Optimization Algorithms in Elastostatic Contact Problems for Cracked Body

    V.V. Zozulya1
    CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.3, pp. 187-216, 2009, DOI:10.3970/cmes.2009.042.187
    Abstract The mathematical statement for contact problem with unilateral restrictions and friction is done in classical and weak forms. Different variational formulation of unilateral contact problems with friction based on principles of virtual displacements and virtual stresses are considered. Especially boundary variational functionals that are used with boundary integral equations have been established. Nonsmooth optimization algorithms of Udzawa type for solution of unilateral contact problem with friction have been developed. Some theoretical results of existence and uniqueness in elastostatic unilateral contact problem with friction are outlined. More >

  • Open Access

    ARTICLE

    Extended Limit Analysis of Strain Softening Frames Involving 2nd-Order Geometric Nonlinearity and Limited Ductility

    S. Tangaramvong1, F. Tin-Loi1
    CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.3, pp. 217-256, 2009, DOI:10.3970/cmes.2009.042.217
    Abstract Classical limit analysis is extended to include the effects of 2nd-order geometric and material nonlinearities, as well as the inclusion of limited ductility constraints. For the class of frame structures considered, the material constitutive model adopted can simultaneously accommodate the effects of combined axial and flexural force as well as local softening instability through the use of piecewise linearized yield surfaces. The main feature of the approach developed is to compute, in a single step, an upper bound to the maximum load. Corresponding displacements and stresses can be obtained as a by-product of the analysis. The problem is formulated as… More >

  • Open Access

    ARTICLE

    On the solution method for problems related to the micro-mechanics of a periodically curved fiber near a convex cylindrical surface

    Surkay D. Akbarov1,2,3, A. R. Mamedov3
    CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.3, pp. 257-296, 2009, DOI:10.3970/cmes.2009.042.257
    Abstract Within the scope of the piecewise homogeneous body model through the use of the three-dimensional geometrically non-linear exact equations of the theory of elasticity, an approach for the investigation of problems with the micromechanics of a periodically curved fiber near the free convex cylindrical surface is proposed and employed. The main difficulties in finding the solution to these problems are caused by the impossibility of employing the summation theorem for cylindrical functions to satisfy the boundary conditions on the cylindrical surface. For this purpose the cosine and sine Fourier series presentation of the sought values is proposed to satisfy the… More >

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