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  • Open Access

    PROCEEDINGS

    Simulation of Wave Propagation Through Inhomogeneous Medium Waveguides Based on Green’s Functions

    Wenzhi Xu1, ZhuoJia Fu1,*, Qiang Xi1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.010437

    Abstract Acoustic wave propagation through an inhomogeneous medium may lead to undergo substantial modification. This paper proposed a Green’s functions-based method for the simulation of wave propagation through inhomogeneous medium waveguides. Under ideal conditions, a modified wave equation is derived by variable transformations, in which only the wave speed varies with spatial coordinates. Based on the modified wave equation the acoustic Green’s functions are derived. Then, the localized method of fundamental solution (LMFS) in conjunction with the acoustic Green’s functions is introduced to solve the modified wave equation. In the LMFS, the acoustic Green’s function is More >

  • Open Access

    PROCEEDINGS

    A Spatiotemporal Nonlocal Model for Overall Dynamics of Composites and Its Analytical Solutions

    Linjuan Wang1,*, Jianxiang Wang2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.09355

    Abstract The prediction of overall dynamics of composite materials has been an intriguing research topic more than a century, and numerous approaches have been developed for this topic. One of the most successful representatives is the classical micromechanical models which assume that the behavior of a composite is the same as its constituents except for the difference in mechanical properties, e.g., effective moduli. With the development of advanced composite materials in recent years, especially metamaterials, it is found that the classical micromechanical models cannot describe complex dynamic responses of composites such as the dispersion and bandgaps… More >

  • Open Access

    ARTICLE

    Semiconducting SWCNT Photo Detector for High Speed Switching Through Single Halo Doping

    A. Arulmary1,*, V. Rajamani2, T. Kavitha2

    Computer Systems Science and Engineering, Vol.46, No.2, pp. 1617-1630, 2023, DOI:10.32604/csse.2023.034681 - 09 February 2023

    Abstract The method opted for accuracy, and no existing studies are based on this method. A design and characteristic survey of a new small band gap semiconducting Single Wall Carbon Nano Tube (SWCNT) Field Effect Transistor as a photodetector is carried out. In the proposed device, better performance is achieved by increasing the diameter and introducing a new single halo (SH) doping in the channel length of the CNTFET device. This paper is a study and analysis of the performance of a Carbon Nano Tube Field Effect Transistor (CNTFET) as a photodetector using the self-consistent Poisson… More >

  • Open Access

    ABSTRACT

    Dynamic Green’s Functions for Multiple Elliptical Inclusions With Imperfect Interfaces Using the Collocation Multipole Method

    Weiming Lee

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.4, pp. 178-178, 2019, DOI:10.32604/icces.2019.05190

    Abstract This paper presents a semi-analytical approach to solve anti-plane dynamic Green’s functions for an elastic infinitely extended isotropic solid (matrix) containing multiple elliptical inclusions with imperfect interfaces. The multipole expansions of anti-plane displacement for the matrix and inclusion are formulated in terms of angular and radial Mathieu functions to solve the dynamic Green’s functions. Instead of using the complex addition theorem, frequently used in the traditional multipole method for a multiply-connected domain problem, the multipole expansion is directly computed in each local elliptical coordinate system. A linear spring model with vanishing thickness is employed to More >

  • Open Access

    ABSTRACT

    Efficient Computation of the Green’s Function and Its Derivatives for Three-Dimensional Piezoelectricity

    Cristiano Ubessi1, Federico C. Buroni2,*, Gabriel Hattori3, Andrés Sáez4, Rogério J. Marczak1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.1, pp. 104-104, 2019, DOI:10.32604/icces.2019.05420

    Abstract Efficient three-dimensional infinite Green’s function and its first- and second-order derivatives for materials with piezoelectric coupling are studied in this paper. The procedure is based on an explicit solution recently introduced by the authors which presents three valuable characteristics: (i) it is explicit in terms of the Stroh’s eigenvalues, (ii) it remains well-defined when some Stroh’s eigenvalues are repeated (mathematical degeneracy) or nearly equal (quasi-mathematical degeneracy), and (iii) it is exact. Then, this solution is used to compute coefficients for a double Fourier series representation of the Green’s function and its derivatives. These Fourier expansion… More >

  • Open Access

    ARTICLE

    Using Eulerlets to Give a Boundary Integral Formulation in Euler Flow and Discussion on Applications

    Edmund Chadwick1, Apostolis Kapoulas

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.4, pp. 331-343, 2014, DOI:10.3970/cmes.2014.102.331

    Abstract Boundary element models in inviscid (Euler) flow dynamics for a manoeuvring body are difficult to formulate even for the steady case; Although the potential satisfies the Laplace equation, it has a jump discontinuity in twodimensional flow relating to the point vortex solution (from the 2π jump in the polar angle), and a singular discontinuity region in three-dimensional flow relating to the trailing vortex wake. So, instead models are usually constructed bottom up from distributions of these fundamental solutions giving point vortex thin body methods in two-dimensional flow, and panel methods and vortex lattice methods in three-dimensional… More >

  • Open Access

    ARTICLE

    Solving Embedded Crack Problems Using the Numerical Green’s Function and a meshless Coupling Procedure: Improved Numerical Integration

    E.F. Fontes Jr1, J.A.F. Santiago1, J.C.F. Telles1

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.3, pp. 211-228, 2014, DOI:10.3970/cmes.2014.102.211

    Abstract An iterative coupling procedure using different meshless methods is presented to solve linear elastic fracture mechanic (LEFM) problems. The domain of the problem is decomposed into two sub-domains, where each one is addressed using an appropriate meshless method. The method of fundamental solutions (MFS) based on the numerical Green’s function (NGF) procedure to generate the fundamental solution has been chosen for modeling embedded cracks in the elastic medium and the meshless local Petrov-Galerkin (MLPG) method has been chosen for modeling the remaining sub-domain. Each meshless method runs independently, coupled with an iterative update of interface More >

  • Open Access

    ARTICLE

    Computing the Electric and Magnetic Green’s Functions in General Electrically Gyrotropic Media

    V. G. Yakhno1, B. Çiçek2

    CMC-Computers, Materials & Continua, Vol.44, No.3, pp. 141-166, 2014, DOI:10.3970/cmc.2014.044.141

    Abstract A method for an approximate computation of the electric and magnetic Green’s functions for the time-harmonic Maxwell’s equations in the general electrically gyrotropic materials is proposed. This method is based on the Fourier transform meta-approach: the equations for electric and magnetic fields are written in terms of images of the Fourier transform with respect to space variables and as a result of it the linear algebraic systems for finding Fourier images of the columns of the Green’s functions are obtained. The explicit formulas for the solutions of the obtained systems have been found. Finally, elements More >

  • Open Access

    ARTICLE

    Efficient BEM Stress Analysis of 3D Generally Anisotropic Elastic Solids With Stress Concentrations and Cracks

    Y.C. Shiah1, C.L. Tan2, Y.H. Chen3

    CMES-Computer Modeling in Engineering & Sciences, Vol.96, No.4, pp. 243-257, 2013, DOI:10.3970/cmes.2013.096.243

    Abstract The present authors have recently proposed an efficient, alternative approach to numerically evaluate the fundamental solution and its derivatives for 3D general anisotropic elasticity. It is based on a double Fourier series representation of the exact, explicit form of the Green’s function derived by Ting and Lee (1997). This paper reports on the successful implementation of the fundamental solution and its derivatives based on this Fourier series scheme in the boundary element method (BEM) for 3D general anisotropic elastostatics. Some numerical examples of stress concentration problems and a crack problem are presented to demonstrate the More >

  • Open Access

    ARTICLE

    Evaluation of Explicit-form Fundamental Solutions for Displacements and Stresses in 3D Anisotropic Elastic Solids

    Y. C. Shiah1, C. L. Tan2, V.G. Lee3

    CMES-Computer Modeling in Engineering & Sciences, Vol.34, No.3, pp. 205-226, 2008, DOI:10.3970/cmes.2008.034.205

    Abstract The main impediment to the development of efficient algorithms for the stress analysis of 3D generally anisotropic elastic solids using the boundary element method (BEM) and the local boundary integral equation (LBIE) meshless method over the years is the complexity of the fundamental solutions and the computational burden to evaluate them. The ability to analytically simplify and reduce them into as explicit a form as possible so that they can be directly computed will offer significant cost savings. In addition, they facilitate easy implementation using existing numerical algorithms with the above-mentioned methods that have been More >

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