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  • Open AccessOpen Access

    ARTICLE

    Application of Cosserat Theory to the Modelling of Reinforced Carbon Nananotube Beams

    Veturia Chiroiu1, Ligia Munteanu2 and Antonio S. Gliozzi3
    CMC-Computers, Materials & Continua, Vol.19, No.1, pp. 1-16, 2010, DOI:10.3970/cmc.2010.019.001
    Abstract This paper develops a mechanical model for multifunctional reinforced carbon nanotube (CNT) beams. The model is obtained by introducing the couple stresses into the constitutive equations of linear viscoelastic theory. The material functions are determined using the homogenization method. More >

  • Open AccessOpen Access

    ARTICLE

    A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems

    Chih-Wen Chang1,2, Chein-Shan Liu3
    CMC-Computers, Materials & Continua, Vol.19, No.1, pp. 17-36, 2010, DOI:10.3970/cmc.2010.019.017
    Abstract The present study shows a backward group preserving scheme (BGPS) to deal with the multi-dimensional backward wave problem (BWP). The BWP is well-known as seriously ill-posed because the solution does not continuously count on the given data. When three numerical experiments are tested, we reveal that the BGPS is applicable to the multi-dimensional BWP. Even with noisy final data, the BGPS is also robust against perturbation. The numerical results are very pivotal in the computations of multi-dimensional BWP. More >

  • Open AccessOpen Access

    ARTICLE

    Multi-Disciplinary Optimization for Multi-Objective Uncertainty Design of Thin Walled Beams

    Fangyi Li1, Guangyao Li2,3, Guangyong Sun2, Zhen Luo4, Zheng Zhang2
    CMC-Computers, Materials & Continua, Vol.19, No.1, pp. 37-56, 2010, DOI:10.3970/cmc.2010.019.037
    Abstract The focus of this paper is concentrated on multi-disciplinary and multi-objective optimization for thin walled beam systems considering safety, normal mode, static loading-bearing and weight, in which the uncertainties of the parameters are described via intervals. The size and shape of the cross-section are treated as design parameters during optimization. Considering the lightweight and safety, the design problem is formulated with two individual objectives to measure structural weight and maximum energy absorption, respectively, constrained by the average force, normal mode and maximum stress. The optimization problem with uncertainties is further transformed into a deterministic optimization based on interval number programming.… More >

  • Open AccessOpen Access

    ARTICLE

    The Molecular Dynamic Finite Element Method (MDFEM)

    Lutz Nasdala1 , Andreas Kempe1 and Raimund Rolfes1
    CMC-Computers, Materials & Continua, Vol.19, No.1, pp. 57-104, 2010, DOI:10.3970/cmc.2010.019.057
    Abstract In order to understand the underlying mechanisms of inelastic material behavior and nonlinear surface interactions, which can be observed on macroscale as damping, softening, fracture, delamination, frictional contact etc., it is necessary to examine the molecular scale. Force fields can be applied to simulate the rearrangement of chemical and physical bonds. However, a simulation of the atomic interactions is very costly so that classical molecular dynamics (MD) is restricted to structures containing a low number of atoms such as carbon nanotubes. The objective of this paper is to show how MD simulations can be integrated into the finite element method… More >

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