Home / Journals / CMC / Vol.21, No.3, 2011
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  • Open AccessOpen Access

    ARTICLE

    Dynamic Stress around Two Interacting Cylindrical Nano-Inhomogeneities with Surface/Interface Effects

    Le-Le Zhang1, Xue-Qian Fang1, Jin-Xi Liu1, Ji-Hong Ma1
    CMC-Computers, Materials & Continua, Vol.21, No.3, pp. 171-186, 2011, DOI:10.3970/cmc.2011.021.171
    Abstract On the basis of continuum surface elasticity, two interacting cylindrical nano-inhomogeneities with surface/interface effect in a small-sized solid under anti-plane shear waves are investigated, and the dynamic stress around the nano-inhomogeneities is analyzed. The wave function expansion method is used to expressed the wave field around the two nano-inhomogeneities. The total wave field is obtained by the addition theorem for cylindrical wave function. Through analysis, it is found that the distance between the two nano-inhomogeneities shows great effect on the dynamic stress in nano composites. The effect of the distance is also related to the properties of the nano-inhomogeneities and… More >

  • Open AccessOpen Access

    ARTICLE

    Hybrid Finite Element Method Based on Novel General Solutions for Helmholtz-Type Problems

    Zhuo-Jia Fu1,2, Wen Chen1, Qing-Hua Qin2,3
    CMC-Computers, Materials & Continua, Vol.21, No.3, pp. 187-208, 2011, DOI:10.3970/cmc.2011.021.187
    Abstract This paper presents a hybrid finite element model (FEM) with a new type of general solution as interior trial functions, named as HGS-FEM. A variational functional corresponding to the proposed general solution is then constructed for deriving the element stiffness matrix of the proposed element model and the corresponding existence of extremum is verified. Then the assumed intra-element potential field is constructed by a linear combination of novel general solutions at the points on the element boundary under consideration. Furthermore, the independent frame field is introduced to guarantee the intra-element continuity. The present scheme inherits the advantages of hybrid Trefftz… More >

  • Open AccessOpen Access

    ARTICLE

    Direct Coupling of Natural Boundary Element and Finite Element on Elastic Plane Problems in Unbounded Domains

    Zhao Huiming1, Dong Zhengzhu1, Chen Jiarui1, Yang Min1
    CMC-Computers, Materials & Continua, Vol.21, No.3, pp. 209-216, 2011, DOI:10.3970/cmc.2011.021.209
    Abstract The advantages of coupling of a natural boundary element method and a finite element method are introduced. Then we discuss the principle of the direct coupling of NBEM and FEM and its implementation. The comparison of the results between the direct coupling method and FEM proves that the direct coupling method is simple, feasible and valid in practice. More >

  • Open AccessOpen Access

    ARTICLE

    Parallel Finite Element Method and Time Stepping Control for Non-Isothermal Poro-Elastic Problems

    Wenqing Wang1, Thomas Schnicke2, Olaf Kolditz3
    CMC-Computers, Materials & Continua, Vol.21, No.3, pp. 217-236, 2011, DOI:10.3970/cmc.2011.021.217
    Abstract This work focuses on parallel finite element simulation of thermal hydraulic and mechanical (THM) coupled processes in porous media, which is a common phenomenon in geological applications such as nuclear waste repository and CO2 storage facilities. The Galerkin finite element method is applied to solve the derived partial differential equations. To deal with the coupling terms among the equations, the momentum equation is solved individually in a monolithic manner, and moreover their solving processes are incorporated into the solving processes of nonisothermal hydraulic equation and heat transport equation in a staggered manner. The computation task arising from the present method… More >

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