Journals / CMC / Vol.28, No.1
Table of Content


    An O(N) Fast Multipole Hybrid Boundary Node Method for 3D Elasticity

    Q. Wang1, Y. Miao1,2, H.P. Zhu1, C. Zhang3
    CMC-Computers, Materials & Continua, Vol.28, No.1, pp. 1-26, 2012, DOI:10.3970/cmc.2012.028.001
    Abstract The Hybrid boundary node method (Hybrid BNM) is a boundary type meshless method which based on the modified variational principle and the Moving Least Squares (MLS) approximation. Like the boundary element method (BEM), it has a dense and unsymmetrical system matrix and needs to be speeded up while solving large scale problems. This paper combines the fast multipole method (FMM) with Hybrid BNM for solving 3D elasticity problems. The formulations of the fast multipole Hybrid boundary node method (FM-HBNM) which based on spherical harmonic series are given. The computational cost is estimated and an O(N) algorithm is obtained. The algorithm… More >


    A Multi-Criteria Topology Optimization for Systematic Design of Compliant Mechanisms

    Zhen Luo1,2, Nong Zhang,1,3
    CMC-Computers, Materials & Continua, Vol.28, No.1, pp. 27-56, 2012, DOI:10.3970/cmc.2012.028.027
    Abstract This paper attempts to present a new multi-criteria topological optimization methodology for the systematic design of compliant micro-mechanisms. Instead of employing only the strain energy (SE) or the functional specifications such as mechanical efficiency (ME), in this study an alternative formulation representing multiple design requirements is included in the optimization to describe the performance of compliant mechanisms. In most conventional designs, SE is used to only measure the design requirement from the point of view of structures, while ME is usually applied to describe the mechanical performance of mechanisms. However, the design of a compliant mechanism is required to comprehensively… More >


    On the Feedforward Control of Hysteresis for a Piezoelectric Plate

    Ligia Munteanu1, Veturia Chiroiu1
    CMC-Computers, Materials & Continua, Vol.28, No.1, pp. 57-80, 2012, DOI:10.3970/cmc.2012.028.057
    Abstract This paper discusses the modeling and feedforward control of hysteresis in a Cantor-like piezoelectric plate. The generalized play operator is analyzed in connection with the plate equations. Results show that hysteresis can be reduced to less than 40% when applying the feedforward control. The subject of the paper belongs to the field of dynamics, characterization and control at the micro/nanoscale. The choose of the Cantor-like piezoelectric plate is motivated by its special property to generate the subharmonic waves due to the anharmonic coupling between the extended-vibration (phonon) and the localized-mode (fracton) regimes. This behavior is a benefit for several applications… More >


    Surface Electric Gibbs Free Energy and Its Effect on the Electromechanical Behavior of Nano-Dielectrics

    Ying Xu1, Shengping Shen1,2
    CMC-Computers, Materials & Continua, Vol.28, No.1, pp. 81-96, 2012, DOI:10.3970/cmc.2012.028.081
    Abstract This paper considers the surface effect through the surface and bulk electric Gibbs free energy. The analytical expressions are derived for the effective elastic, dielectric and piezoelectric modulus for nano-structural elements in electromechanical coupling problems. Numerical examples for PZT are given to illustrate the size effects on the electromechanical properties of nano-particles, nano-wires and nano-films quantitatively. The solution shows that the electromechanical properties of piezoelectric nano-material are size-dependent but the size effects on the elastic property and dielectric property are different. More >

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