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  • Open Access

    ARTICLE

    Numerical Solution of Nonlinear Schrodinger Equations by Collocation Method Using Radial Basis Functions

    Sirajul Haq1,2, Siraj-Ul-Islam3, Marjan Uddin1,4

    CMES-Computer Modeling in Engineering & Sciences, Vol.44, No.2, pp. 115-136, 2009, DOI:10.3970/cmes.2009.044.115

    Abstract A mesh free method for the numerical solution of the nonlinear Schrodinger (NLS) and coupled nonlinear Schrodinger (CNLS) equation is implemented. The presented method uses a set of scattered nodes within the problem domain as well as on the boundaries of the domain along with approximating functions known as radial basis functions (RBFs). The set of scattered nodes do not form a mesh, means that no information of relationship between the nodes is needed. Error norms L2, L are used to estimate accuracy of the method. Stability analysis of the method is given to demonstrate its More >

  • Open Access

    ARTICLE

    Modelling of Evaporative Cooling of Porous Medium Filled with Evaporative Liquid

    D.P.Mondal1, S.Das1, Anshul Badkul1, Nidhi Jha1

    CMC-Computers, Materials & Continua, Vol.13, No.2, pp. 115-134, 2009, DOI:10.3970/cmc.2009.013.115

    Abstract The cooling effect by evaporative liquid is modeled by considering that heat is transferred from the system to the surrounding due to evaporation of liquid through the pores present in the medium. The variation of cooling rate with cell size, volume fraction of pores and physical conditions has been analyzed. The model demonstrates that it increases with increase in thickness of the foam slab and with increase in velocity of air. It is also observed that cooling effect decreases with decrease in volume fraction of porosity and with increase in relative density, cell size, thermal More >

  • Open Access

    ARTICLE

    Three-Dimensional Solutions of Functionally Graded Piezo-Thermo-Elastic Shells and Plates Using a Modified Pagano Method

    Chih-Ping Wu1,2, Shao-En Huang2

    CMC-Computers, Materials & Continua, Vol.12, No.3, pp. 251-282, 2009, DOI:10.3970/cmc.2009.012.251

    Abstract A modified Pagano method is developed for the three-dimensional (3D) coupled analysis of simply-supported, doubly curved functionally graded (FG) piezo-thermo-elastic shells under thermal loads. Four different loading conditions, applied on the lateral surfaces of the shells, are considered. The material properties of FG shells are regarded as heterogeneous through the thickness coordinate, and then specified to obey an exponent-law dependent on this. The Pagano method, conventionally used for the analysis of multilayered composite elastic plates/shells, is modified to be feasible for the present analysis of FG piezo-thermo-elastic plates/shells. The modifications include that a displacement-based formulation More >

  • Open Access

    ARTICLE

    A Phenomenological Theory and Numerical Procedure for Chemo-Mechanical Coupling Behavior of Hydrogel

    Q. S. Yang1, B. S. Liu, L. T. Meng

    CMC-Computers, Materials & Continua, Vol.12, No.1, pp. 39-56, 2009, DOI:10.3970/cmc.2009.012.039

    Abstract Coupling and interaction of multi-physical fields exist in hydrogel consisting of a fluid and a solid under external stimulus. In this paper, a phenomenological theory for chemo-mechanical coupling behavior and finite element formulation are developed, based on the thermodynamic laws. The free energy function is constructed and used to derive the constitutive equations and governing equations for a linear coupling system including a chemical effect. Equivalent integral forms of the governing equations and coupled finite element equations are obtained by a variational principle. Numerical examples demonstrate the interaction of chemical and mechanical effects of hydrogel More >

  • Open Access

    ARTICLE

    An Investigation into the Mechanical Behavior of Single-Walled Carbon Nanotubes under Uniaxial Tension Using Molecular Statics and Molecular Dynamics Simulations

    Yeau-Ren Jeng1,Ping-Chi Tsai1,Guo-Zhe Huang1, I-Ling Chang1

    CMC-Computers, Materials & Continua, Vol.11, No.2, pp. 109-126, 2009, DOI:10.3970/cmc.2009.011.109

    Abstract This study performs a series of Molecular Dynamics (MD) and Molecular Statics (MS) simulations to investigate the mechanical properties of single-walled carbon nanotubes (SWCNTs) under a uniaxial tensile strain. The simulations focus specifically on the effects of the nanotube helicity, the nanotube diameter and the percentage of vacancy defects on the bond length, bond angle and tensile strength of zigzag and armchair SWCNTs. In this study, a good agreement is observed between the MD and MS simulation results for the stress-strain response of the SWCNTs in both the elastic and the plastic deformation regimes. The… More >

  • Open Access

    ARTICLE

    A Three-Dimensional Meshless Scheme with Background Grid for Electrostatic-Structural Analysis

    Ming-Hsiao Lee, Wen-Hwa Chen

    CMC-Computers, Materials & Continua, Vol.11, No.1, pp. 59-78, 2009, DOI:10.3970/cmc.2009.011.059

    Abstract On the analysis of electrostatic-structural coupled problems as encountered in many electrostatic driven MEMS devices, the electrostatic analysis domain is often extremely distorted due to the deflection of the structure. This kind of problem is difficult to be dealt with by almost all kinds of available numerical methods. A new three-dimensional meshless scheme with background grid is thus proposed herein. By this scheme, a three-dimensional fixed background grid with regularly-distributed nodes is utilized. Another set of discretized boundary grid is employed to describe the boundary surfaces of both the structure and the electrostatic field. The… More >

  • Open Access

    ARTICLE

    Energy Absorption of Thin-walled Corrugated Crash Box in Axial Crushing

    H. Ghasemnejad1, H. Hadavinia1,2, D. Marchant1, A. Aboutorabi1

    Structural Durability & Health Monitoring, Vol.4, No.1, pp. 29-46, 2008, DOI:10.3970/sdhm.2008.004.029

    Abstract In this paper the crashworthiness capabilities of thin-walled corrugated crash boxes in axial crushing relative to flat sidewall boxes from the same material are investigated. In order to achieve this, various design of corrugated aluminium alloy 6060 temper T4 crash boxes were chosen and their axial crushing behaviour under impact loading was studied by developing a theoretical model based on Super Folding Element theory and by conducting finite element analysis using LS-DYNA in ANSYS. From the theoretical and FE analysis the crush force efficiency, the specific energy absorption and the frequency and amplitude of fluctuation of More >

  • Open Access

    ABSTRACT

    Numerical Investigation on Resonant Sloshing Characteristics of 2-D Baffled Liquid Container

    Jong-Kook Cha1, Jin-Rae Cho1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.7, No.3, pp. 129-134, 2008, DOI:10.3970/icces.2008.007.129

    Abstract Sloshing flow is formulated based on the linearized potential flow theory, while an artificial damping term is employed into the kinematic free-surface condition to reflect the eminent dissipation effect in resonant sloshing. Through the numerical analysis of sloshing frequency response with respect to the number, location and opening width of baffle, the sloshing damping characteristics by baffle are parametrically investigated. More >

  • Open Access

    ABSTRACT

    Carbon Nanotube Transmission between Linear and Rotational Motions

    Hanqing Jiang1, Junqiang Lu2, Min-Feng Yu2, Yonggang Huang3

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.6, No.2, pp. 133-144, 2008, DOI:10.3970/icces.2008.006.133

    Abstract The periodic lattice registry of multi-walled carbon nanotubes (MWCNTs) have been exploited for the possibilities of development of nanodevices. This paper studied the telescoping behaviors of double-walled carbon nanotubes (DWCNTs) by atomic-scale finite element and tight-bind Green function methods. It was found that telescoping a DWCNT (e.g., (6,3)/(12,6)) will induce a rotational motion of the inner CNT that has a chirl angle θ (0◦ < θ < 30◦). This telescoping-induced rotational motion does not exist for armchair and zigzag DWCNTs due to the symmetry of CNTs. The rotational angle is completely determined by the chirality More >

  • Open Access

    ARTICLE

    Evaluation of Compliance of Arterial Vessel Using Coupled Fluid Structure Interaction Analysis

    Abhijit Sinha Roy*, Lloyd H. Back, Rupak K. Banerjee

    Molecular & Cellular Biomechanics, Vol.5, No.4, pp. 229-246, 2008, DOI:10.3970/mcb.2008.005.229

    Abstract The in vivo and ex vivo compliance of arteries are expected to be closely related and estimated. Fluid-structure interaction analysis can assess the agreement between the two compliances. To evaluate this hypothesis, a pulsatile fluid-structure interaction analysis of blood flow in femoral artery of a dog was conducted using: (1) measured in vivo mean pressure (72.5 mmHg), mean pressure drop (0.59 mmHg), mean velocity (15.1 cm/sec); and (2) ex vivo measurements of non -- linear elastic properties of femoral artery. Additional analyses were conducted for physiological pressures (104.1 and 140.7 mmHg) and blood flow using a characteristic linear pressure More >

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