2011 Vol. 32, No. 5

Display Method:
Shape Gradient and Classical Gradient of Curvatures: Driving Forces on Micro/Nano Curved Surfaces
YIN Ya-jun, CHEN Chao, LV Cun-jing, ZHENG Quan-shui
2011, 32(5): 509-521. doi: 10.3879/j.issn.1000-0887.2011.05.001
Abstract(2326) PDF(1508)
Abstract:
Recent experiment and molecule dynamics simulation showed that adhesion droplet on conical surface could move spontaneously and directionally. Besides, this spontaneous and directional motion was independent of the hydrophilicity and hydrophobicity of the conical surface. Aimed at this important phe...
Two-Dimensional Polynomial Eigenstrain Formulation of Boundary Integral Equation With Numerical Verification
MA Hang, GUO Zhao, QIN Qing-hua
2011, 32(5): 522-532. doi: 10.3879/j.issn.1000-0887.2011.05.002
Abstract(1916) PDF(867)
Abstract:
he low-order polynomial distributed eigenstrain formulation of boundary integral equation (BIE) and the corresponding definition of Eshelby tensors were proposed for elliptical-shaped inhomogeneities in a two-dimensional elastic medium. Taking the results from traditional sub-domain boundary element...
General Solutions of Plane Problem for Power Function Curved Cracks
GUO Jun-hong, YUAN Ze-shuai, LU Zi-xing
2011, 32(5): 533-540. doi: 10.3879/j.issn.1000-0887.2011.05.003
Abstract(2311) PDF(946)
Abstract:
A new, exact and universal conformal mapping was proposed. Using the Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks with an arbitrary power of natural number was investigated and the general solutions of stress intensity factors (SIFs) for mod...
Dispersion Equation of Magnetoelastic Shear Waves in an Irregular Monoclinic Layer
A. Chattopadhyay, S. Gupta, S. A. Sahu, A. K. Singh
2011, 32(5): 541-555. doi: 10.3879/j.issn.1000-0887.2011.05.004
Abstract(1677) PDF(788)
Abstract:
The propagation of horizontally polarised shear waves in an internal magnetoelastic monoclinic stratum with irregularity in lower interface was studied. The stratum was sandwiched between two magnetoelastic monoclinic semi-infinite media. Dispersion equation was obtained in closed form. In absence o...
Analysis for Cavitation Problem of Elastic Composite Ball Heated
SHANG Xin-chun, ZHANG Rui, REN Hui-lan
2011, 32(5): 556-562. doi: 10.3879/j.issn.1000-0887.2011.05.005
Abstract(1729) PDF(818)
Abstract:
The cavitation problem of composite ball, composed by two elastic solid materials and in uniformtemperature, was investigated. The nonlinear mathematical model of the problem was established by using finite logarithmic strain measure for geometric large deformation and by employing Hooke law for ela...
Influence of Magnetic Field on Wave Propagation at Liquid-Microstretch Solid Interface
Baljeet Singh
2011, 32(5): 563-569. doi: 10.3879/j.issn.1000-0887.2011.05.006
Abstract(1678) PDF(850)
Abstract:
The reflection and refraction of longit udinal wave at an interface between perfectly conducting non-viscous liquid half-space and a perfectly conducting microstretch elastic solid half-space was studied. The appropriate solutions of the governing equations were obtained in both the half-spaces whic...
Stability Analysis of a Helical Rod Based on Exact Cosserat’s Model
LIU Yan-zhu, XUE Yun
2011, 32(5): 570-578. doi: 10.3879/j.issn.1000-0887.2011.05.007
Abstract(1785) PDF(899)
Abstract:
The helical equilibrium of a thin elastic rod has a practical background such as DNA, fiber, sub-ocean cable and oil-well dill string. The Kirchhoff's kinetic analogy is an effective approach in stability analysis of equilibrium of a thin elastic rod. The main hypotheses of Kirchhoff's theory includ...
Low-Diffusion Preconditioning Scheme for Numerical Simulation of Low-Speed Flows Past Airfoil
XIANG Qian, WU Song-ping, LEE Chun-xuan, CAO Ning
2011, 32(5): 579-586. doi: 10.3879/j.issn.1000-0887.2011.05.008
Abstract(2105) PDF(840)
Abstract:
The reconditioning technique addresses the stiffness of low Mach number flow, while the stability was poor. Based on the conventional preconditioning method of Roe's scheme, a new low-diffusion scheme was proposed. An adjustable parameter was introduced to control the numerical dis-sipation in the n...
Study on Application of Random Walk Method to Water Exchange in Large-Scale Bay
LI Xiao-bao, YUAN De-kui, TAO Jian-hua
2011, 32(5): 587-598. doi: 10.3879/j.issn.1000-0887.2011.05.009
Abstract(1610) PDF(788)
Abstract:
Water exchange matrix is an efficient tool to study the water exchange among sub-areas in large-scale bays. The application of random walk method to calculate water exchange matrix was studied. Compared against the advection-diffusion model, the random walk model is more flexible to calculate the wa...
Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface
Paramita Maiti, Puspendu Rakshit, Sudeshna Banerjea
2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010
Abstract(1726) PDF(839)
Abstract:
Scattering of water waves by a vertical plate submerged in deep water covered with a thin uniform sheet of ice, modelled as an elastic plate was concerned. The problem was formulated in terms of a hypersingular integral equation by a suitable application of Green's integral theorem, in terms of diff...
Turbulent Flow in Converging Nozzles Part Ⅰ——Boundary Layer Solution
Reza Maddahian, Bijan Farhanieh, Bahar Firoozabadi
2011, 32(5): 608-622. doi: 10.3879/j.issn.1000-0887.2011.05.011
Abstract(2174) PDF(813)
Abstract:
In this research the boundary layer integral method was used to investigate the development of turbulent swirling flow at the entrance region of a conical nozzle. The governing equations in the spherical coordinate system were simplified with the boundary layer assumptions and integrated through the...
Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces
ZHANG Shi-sheng, R. Saadati, G. Sadeghi
2011, 32(5): 623-634. doi: 10.3879/j.issn.1000-0887.2011.05.012
Abstract(1815) PDF(807)
Abstract:
The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces was proved. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces and the theory of functional equations were also...