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  • Open Access

    ARTICLE

    Applications of the Fictitious Time Integration Method Using a New Time-Like Function

    Cheng-Yu Ku1,2, Weichung Yeih1,2, Chein-Shan Liu3, Chih-Chang Chi2

    CMES-Computer Modeling in Engineering & Sciences, Vol.43, No.2, pp. 173-190, 2009, DOI:10.3970/cmes.2009.043.173

    Abstract In this paper, a new time-like function with the incorporation of the fictitious time integration method (FTIM) is proposed. The new time-like function is modified from the original time-like function in the FTIM by adding a control parameter m, which dramatically improves the performance of the FTIM for solving highly nonlinear boundary value problems (BVPs) and plays as an important controller to assure the convergence of the solution during the time integration process. The requirements and the characteristics of the new time-like function are presented by examining the FTIM through the perspective of the new time-like function in which the… More >

  • Open Access

    ARTICLE

    Stability Analysis for Fractional Differential Equations and Their Applications in the Models of HIV-1 Infection

    Chunhai Kou1, Ye Yan2, Jian Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.39, No.3, pp. 301-318, 2009, DOI:10.3970/cmes.2009.039.301

    Abstract In the paper, stability for fractional order differential equations is studied. Then the result obtained is applied to analyse the stability of equilibrium for the model of HIV. More >

  • Open Access

    ARTICLE

    Applications of Meta-Models in Finite Element Based Reliability Analysis of Engineering Structures

    S S Panda1, C S Manohar1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.28, No.3, pp. 161-184, 2008, DOI:10.3970/cmes.2008.028.161

    Abstract The problem of reliability analysis of randomly parametered, linear (or) nonlinear, structures subjected to static and (or) dynamic loads is considered. A deterministic finite element model for the structure to analyze sample realization of the structure is assumed to be available. The reliability analysis is carried out within the framework of response surface methods which involves the construction of surrogate models for performance functions to be employed in reliability calculations. This construction, in the present study, has involved combining space filling optimal Latin hypercube sampling, kriging models and methods from data-based asymptotic extreme value modeling of sequence of random variables.… More >

  • Open Access

    ARTICLE

    A Class of Wavelet-based Flat Shell Elements Using B-spline Wavelet on the Interval and Its applications

    Xiang Jiawei1, Chen Xuefeng2, Yang Lianfa3, He Zhengjia4

    CMES-Computer Modeling in Engineering & Sciences, Vol.23, No.1, pp. 1-12, 2008, DOI:10.3970/cmes.2008.023.001

    Abstract A class of flat shell elements is constructed by using the scaling functions of two-dimensional tensor product B-spline wavelet on the interval (BSWI). Unlike the process of direct wavelets adding in the wavelet Galerkin method, the element displacement field represented by the coefficients of wavelets expansions was transformed from wavelet space into physical space via the constructed two-dimensional transformation matrix. Then, the BSWI flat shell element is constructed by the assembly of BSWI plane elastomechanics and Mindlin plate elements. Because of the good character of BSWI scaling functions, the BSWI flat shell element combine the accuracy of B-spline functions approximation… More >

  • Open Access

    ARTICLE

    A Novel Form of Reproducing Kernel Interpolation Method with Applications to Nonlinear Mechanics

    Amit Shaw1, D Roy2

    CMES-Computer Modeling in Engineering & Sciences, Vol.19, No.1, pp. 69-98, 2007, DOI:10.3970/cmes.2007.019.069

    Abstract A novel discretization strategy and derivative reproduction based on reproducing kernel (RK) particle approximations of functions are proposed. The proposed scheme is in the form of an RK interpolation that offers significant numerical advantages over a recent version of the strategy by Chen et al. (2003), wherein the authors added a set of primitive functions to the reproducing kernel (enrichment) functions. It was also required that the support size of the primitive function be less than the smallest distance between two successive grid points. Since the primitive function was required to vary from 0 to 1 within half of this… More >

  • Open Access

    ARTICLE

    Hypersingular BEM for Piezoelectric Solids: Formulation and Applications for Fracture Mechanics

    J.A. Sanz, M. Solis, J. Dominguez1

    CMES-Computer Modeling in Engineering & Sciences, Vol.17, No.3, pp. 215-230, 2007, DOI:10.3970/cmes.2007.017.215

    Abstract A general mixed boundary element formulation for three-dimensional piezoelectric fracture mechanics problems is presented in this paper. The numerical procedure is based on the extended displacement and traction integral equations for external and crack boundaries, respectively. Integrals with strongly singular and hypersingular kernels appearing in the formulation are analytically transformed into weakly singular and regular integrals. Quadratic boundary elements and quarter-point boundary elements are implemented in a direct way in a computer code. Electric and stress intensity factors are directly computed from nodal values at quarter-point elements. Crack problems in 3D piezoelectric bounded and unbounded solids are solved. The obtained… More >

  • Open Access

    ARTICLE

    Porous Metals with Developing Anisotropy: Constitutive Models, Computational Issues and Applications to Deformation Processing

    M. Kailasam1, N. Aravas2, P. Ponte Castañeda3

    CMES-Computer Modeling in Engineering & Sciences, Vol.1, No.2, pp. 105-118, 2000, DOI:10.3970/cmes.2000.001.265

    Abstract A constitutive model for a porous metal subjected to general three-dimensional finite deformations is presented. The model takes into account the evolution of porosity and the development of anisotropy due to changes in the shape and the orientation of the voids during deformation. A methodology for the numerical integration of the elastoplastic constitutive model is developed. Finally, some sample applications to plane strain extrusion and compaction of a porous disk are considered using the finite element method. More >

  • Open Access

    ARTICLE

    Characterization of Undoped Spray-Deposited ZnO Thin Films of Photovoltaic Applications

    ShadiaJ. Ikhmayies1, Naseem M. Abu El-Haija1, Riyad N. Ahmad-Bitar1

    FDMP-Fluid Dynamics & Materials Processing, Vol.6, No.2, pp. 165-178, 2010, DOI:10.3970/fdmp.2010.006.165

    Abstract Undoped polycrystalline ZnO thin films were produced on glass substrates at a substrate temperature Ts= 450 C by the spray pyrolysis (SP) technique. The films were characterized by analyzing their I-V curves, transmittance, X-ray diffractograms (XRD) and their scanning electron microscope (SEM) images. The I-V plots are all linear and the resistivity was found to be about 200W.cm. The transmittance in the visible and near infrared regions is as high as 85% which is suitable for solar cell applications. The absorption coefficient which is deduced from the transmittance measurements is continuously increasing with the photon's energy and it rapidly increases… More >

  • Open Access

    ARTICLE

    Thermodiffusion Applications in MEMS, NEMS and Solar Cell Fabrication by Thermal Metal Doping of Semiconductors

    Morteza Eslamian1,2, M. Ziad Saghir1,3

    FDMP-Fluid Dynamics & Materials Processing, Vol.8, No.4, pp. 353-380, 2012, DOI:10.3970/fdmp.2012.008.353

    Abstract In this paper recent advances pertinent to the applications of thermodiffusion or thermomigration in the fabrication of micro and nano metal-doped semiconductor-based patterns and devices are reviewed and discussed. In thermomigration, a spot, line, or layer of a p-type dopant, such as aluminum, which is deposited on a semiconductor surface, penetrates into the semiconductor body due to the presence of a temperature gradient applied across the wafer body. The trails of p-doped regions within an n-type semiconductor, in the form of columns or walls, may be used for several applications, such as the isolation of a part of a semiconductor… More >

  • Open Access

    ARTICLE

    Electrically Heated Composite Leading Edges for Aircraft Anti-Icing Applications

    F. De Rosa1, A. Esposito1

    FDMP-Fluid Dynamics & Materials Processing, Vol.8, No.1, pp. 107-128, 2012, DOI:10.3970/fdmp.2011.008.107

    Abstract An investigation was conducted to evaluate the feasibility and the performance of an electrically heated composite leading edge for aircraft anti-icing applications. A prototype was designed, manufactured and equipped with a High Temperature composite leading edge with embedded Ni alloy resistance fed by a DC power supply unit. Running wet and fully evaporative functional modes have been verified both analytically and experimentally with reasonable agreement. A room temperature thermal endurance test has been run for 104 cycles aiming to preliminary verify the integrity of the composite laminate after the imposed thermal stress. The EHCLE system (Electrical Heated Composite Leading Edge)… More >

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