CMC-Vol. 9, No. 2, 2009

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ARTICLE

Construction of Green's function using null-field integral approach for Laplace problems with circular boundaries
Jeng-Tzong Chen^1,2, Jia-Nan Ke¹, Huan-Zhen Liao¹
CMC-Computers, Materials & Continua, Vol.9, No.2, pp. 93-110, 2009, DOI:10.3970/cmc.2009.009.093
Abstract A null-field approach is employed to derive the Green's function for boundary value problems stated for the Laplace equation with circular boundaries. The kernel function and boundary density are expanded by using the degenerate kernel and Fourier series, respectively. Series-form Green's function for interior and exterior problems of circular boundary are derived and plotted in a good agreement with the closed-form solution. The Poisson integral formula is extended to an annular case from a circle. Not only an eccentric ring but also a half-plane problem with an aperture are demonstrated to see the validity of the present approach. Besides, a… More >

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A Quasi-Boundary Semi-Analytical Method for Backward in Time Advection-Dispersion Equation
Chein-Shan Liu¹, Chih-Wen Chang², Jiang-Ren Chang^2,3
CMC-Computers, Materials & Continua, Vol.9, No.2, pp. 111-136, 2009, DOI:10.3970/cmc.2009.009.111
Abstract In this paper, we take the advantage of an analytical method to solve the advection-dispersion equation (ADE) for identifying the contamination problems. First, the Fourier series expansion technique is employed to calculate the concentration field C(x, t) at any time t< T. Then, we consider a direct regularization by adding an extra term αC(x,0) on the ﬁnal condition to carry off a second kind Fredholm integral equation. The termwise separable property of the kernel function permits us to transform itinto a two-point boundary value problem. The uniform convergence and error estimate of the regularized solution C^α(x,t) are provided and a… More >

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A 3-D Coarser-Grained Computational Model for Simulating Large Protein Dynamics
Jae-In Kim¹, Hyoseon Jang², Jeong-Hee Ahn³, Kilho Eom⁴, Sungsoo Na⁵
CMC-Computers, Materials & Continua, Vol.9, No.2, pp. 137-152, 2009, DOI:10.3970/cmc.2009.009.137
Abstract Protein dynamics is essential for gaining insight into biological functions of proteins. Although protein dynamics is well delineated by molecular model, the molecular model is computationally prohibited for simulating large protein structures. In this work, we provide the three-dimensional coarser-grained anisotropic model (CGAM), which is based on model reduction applicable to large protein structures. It is shown that CGAM achieves the fast computation on low-frequency modes, quantitatively comparable to original structural model such as elastic network model (ENM). This indicates that the CGAM by model reduction method enable us to understand the functional motion of large proteins with remarkable computational… More >

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Eigen-vibrations of Plates made of Functionally Graded Material
H. Altenbach¹, V. A. Eremeyev²
CMC-Computers, Materials & Continua, Vol.9, No.2, pp. 153-178, 2009, DOI:10.3970/cmc.2009.009.153
Abstract Within the framework of the direct approach to the plate theory we consider natural oscillations of plates made of functionally graded materials taking into account both the rotatory inertia and the transverse shear stiffness. It is shown that in some cases the results based on the direct approach differ significantly from the classical estimates. The reason for this is the non-classical computation of the transverse shear stiffness. More >

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