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  • Open Access

    ARTICLE

    The Stable Explicit Time Stepping Analysis with a New Enrichment Scheme by XFEM

    Xue-cong Liu1, Qing Zhang1,*, Xiao-zhou Xia1

    CMC-Computers, Materials & Continua, Vol.53, No.3, pp. 187-206, 2017, DOI:10.3970/cmc.2017.053.203

    Abstract This paper focuses on the study of the stability of explicit time integration algorithm for dynamic problem by the Extended Finite Element Method (XFEM). A new enrichment scheme of crack tip is proposed within the framework of XFEM. Then the governing equations are derived and evolved into the discretized form. For dynamic problem, the lumped mass and the explicit time algorithm are applied. With different grid densities and different forms of Newmark scheme, the Dynamic Stress Intensity Factor (DSIF) is computed by using interaction integral approach to reflect the dynamic response. The effectiveness of the More >

  • Open Access

    ARTICLE

    Exact Solutions for the Stability and Free Vibration of Multilayered Functionally Graded Material Hollow Cylinders under Axial Compression

    Chih-Ping Wu1,2, Ruei-Yong Jiang1, Sheng-Yao Tu1

    CMC-Computers, Materials & Continua, Vol.41, No.2, pp. 111-152, 2014, DOI:10.3970/cmc.2014.041.111

    Abstract Exact three-dimensional stability and free vibration analyses of simply-supported, multilayered functionally graded material (FGM) circular hollow cylinders and laminated composite ones under axial compression are presented. The material properties of each FGM layer are assumed to obey a power-law distribution of the volume fractions of constituents through the thickness coordinate. The Pagano method, which is based on the principle of virtual displacement and is conventionally used for the analysis of laminated composite structures, is modified to be feasible for the study of multilayered FGM cylinders, in which Reissner's mixed variational theorem, the successive approximation and… More >

  • Open Access

    ARTICLE

    Rupture and Instability of Soft Films due to Moisture Vaporization in Microelectronic Devices

    Linsen Zhu1, Jiang Zhou2, Xuejun Fan2

    CMC-Computers, Materials & Continua, Vol.39, No.2, pp. 113-134, 2014, DOI:10.3970/cmc.2014.039.113

    Abstract In this paper, a damage mechanics-based continuum theory is developed for the coupled analysis of moisture vaporization, moisture absorption and desorption, heat conduction, and mechanical stress for a reflow process in microelectronic devices. The extremely compliant film has been used in wafer level lamination process. Such a soft film experiences cohesive rupture subjected to moisture absorption during reflow. The numerical simulation results have demonstrated that vapor pressure due to moisture vaporization is the dominant driving force for the failures. The correlation between the vapor pressure evolution and the film rupture observed from the experiments have… More >

  • Open Access

    ARTICLE

    Dynamic Instability of Rectangular Composite Plates under Parametric Excitation

    Meng-Kao Yeh1, Chia-Shien Liu2, Chien-Chang Chen3

    CMC-Computers, Materials & Continua, Vol.39, No.1, pp. 3-20, 2014, DOI:10.3970/cmc.2014.039.003

    Abstract The dynamic instability of rectangular graphite/epoxy composite plates under parametric excitation was investigated analytically and experimentally. In analysis, the dynamic system of the composite plate, obtained based on the assumedmodes method, is a general form of Mathieu’s equation, including parametrically excited terms. The instability regions of the system, each separated by two transition curves, were found to be functions of the modal parameters of the composite plate and the position and the excited amplitude of the electromagnetic device on the composite plates. The fiber orientation, the aspect ratio and the layer numbers of the composite… More >

  • Open Access

    ARTICLE

    A Simple Procedure to Develop Efficient & Stable Hybrid/Mixed Elements, and Voronoi Cell Finite Elements for Macro- & Micromechanics

    L. Dong1, S. N. Atluri2

    CMC-Computers, Materials & Continua, Vol.24, No.1, pp. 61-104, 2011, DOI:10.3970/cmc.2011.024.061

    Abstract A simple procedure to formulate efficient and stable hybrid/mixed finite elements is developed, for applications in macro- as well as micromechanics. In this method, the strain and displacement field are independently assumed. Instead of using two-field variational principles to enforce both equilibrium and compatibility conditions in a variational sense, the independently assumed element strains are related to the strains derived from the independently assumed element displacements, at a finite number of collocation points within the element. The element stiffness matrix is therefore derived, by simply using the principle of minimum potential energy. Taking the four-node… More >

  • Open Access

    ARTICLE

    3D Analyses of the Stability Loss of the Circular Solid Cylinder Made from Viscoelastic Composite Material

    S. D. Akbarov1,2, S. Karakaya3

    CMC-Computers, Materials & Continua, Vol.22, No.1, pp. 1-38, 2011, DOI:10.3970/cmc.2011.022.001

    Abstract The 3D approach was employed for investigations of the stability loss of the solid circular cylinder made from viscoelastic composite material. This approach is based on investigations of the evolution of the initial infinitesimal imperfections of the cylinder within the scope of 3D geometrically nonlinear field equations of the theory of viscoelasticity for anisotropic bodies. The numerical results of the critical forces and critical time are presented and discussed. To illustrate the importance of the results obtained using the 3D approach, these results are compared with the corresponding ones obtained by employing various approximate beam More >

  • Open Access

    ARTICLE

    Efficiency of Power Dissipation and Instability Criterion for Processing Maps in Hot Forming

    CMC-Computers, Materials & Continua, Vol.18, No.3, pp. 271-300, 2010, DOI:10.3970/cmc.2010.018.271

    Abstract The processing maps are a superimposition of iso-efficiency contour map and flow instability map, which are used to design hot working processing conditions in a wide variety of materials. In order to construct the processing maps, the efficiency of power dissipation and an instability criterion taking into account the contribution of strain and microstructure evolution are proposed based on a set of microstructure-based viscoplastic constitutive equations. In viscoplastic constitutive equations, the grain size of matrix phase and the dislocation density are taken as internal state variables. And, the material constants in present equations can be… More >

  • Open Access

    ARTICLE

    Lattice Dynamics and Second and Third Order Elastic Constants of Iron at Elevated Pressures

    Hieu H. Pham1, Tahir Ça ˇgın1

    CMC-Computers, Materials & Continua, Vol.16, No.2, pp. 175-194, 2010, DOI:10.3970/cmc.2010.016.175

    Abstract We analyze the lattice dynamics of Fe in different crystal phases (bcc, fcc and hcp) by using density-functional theory. The study on equations of states indicates that bcc Fe is more stable than fcc and hcp Fe at low pressures. However, dynamical instabilities in lattice vibrations of bcc Fe predict a phase transformation from bcc to hcp at higher pressures. We reported a complete set of second-order and third-order elastic constants of Fe in these three phases. We observed a linear variation in the values of second order elastic constant as a function of increased More >

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