Home / Journals / CMES / Vol.108, No.6, 2015
Table of Content
  • Open Access

    ARTICLE

    Solving a Class of PDEs by a Local Reproducing Kernel Method with An Adaptive Residual Subsampling Technique

    H. Rafieayan Zadeh1, M. Mohammadi1,2, E. Babolian1
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.6, pp. 375-396, 2015, DOI:10.3970/cmes.2015.108.375
    Abstract A local reproducing kernel method based on spatial trial space spanned by the Newton basis functions in the native Hilbert space of the reproducing kernel is proposed. It is a truly meshless approach which uses the local sub clusters of domain nodes for approximation of the arbitrary field. It leads to a system of ordinary differential equations (ODEs) for the time-dependent partial differential equations (PDEs). An adaptive algorithm, so-called adaptive residual subsampling, is used to adjust nodes in order to remove oscillations which are caused by a sharp gradient. The method is applied for solving the Allen-Cahn and Burgers’ equations.… More >

  • Open Access

    ARTICLE

    Analytical and FE Modeling of FG Beams Based on A Refined Shear Deformable Beam Theory for Static and Dynamic Analyses of FG BeamsWith Thermoelastic Coupling

    Cong Xie1, Guangyu Shi1,2
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.6, pp. 397-427, 2015, DOI:10.3970/cmes.2015.108.397
    Abstract The static and dynamic thermoelastic analyses of the beams made of functionally graded materials (FGMs) are presented in this paper. Based on the refined third-order shear deformation beam theory proposed by the senior author and the variational principle, the governing equations of FG beams are deduced. The influence of temperature on Young’s modulus and coefficients of thermal expansion is taken into account when FG beams are subjected to thermal loading. The resulting governing equations are a system of the eighth-order differential equations in terms of displacement variables, and the thermoelastic coupling is included in the equations. An accurate and reliable… More >

  • Open Access

    ARTICLE

    Hierarchal Decomposition for the Structure-Fluid-Electrostatic Interaction in a Microelectromechanical System

    Daisuke Ishihara1,2, Tomoyoshi Horie1, Tomoya Niho1, Akiyoshi Baba3
    CMES-Computer Modeling in Engineering & Sciences, Vol.108, No.6, pp. 429-452, 2015, DOI:10.3970/cmes.2015.108.429
    Abstract In this study, a hierarchal decomposition is proposed to solve the structure- fluid-electrostatic interaction in a microelectromechanical system (MEMS). In the proposed decomposition, the structure-fluid-electrostatic interaction is partitioned into the structure-fluid interaction and the electrostatic field using the iteratively staggered method, and the structure-fluid interaction is split into the structurefluid velocity field and the fluid pressure field using the projection method. The proposed decomposition is applied to a micro cantilever beam actuated by the electrostatic force in air. It follows from the comparisons among the numerical and experimental results that the proposed method can predict the MEMS vibration characteristics accurately. More >

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