应用数学和力学

2010 Vol. 31, No. 3

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Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory

HONG Wen-liang, GUO Xing-ming

2010, 31(3): 253-260. doi: 10.3879/j.issn.1000-0887.2010.03.001

Abstract(1893) PDF(949)

Abstract:
The electromechanical properties of metallic single-walled carbon nanotubes (SWCNTs) in the electric field are demonstrated via a column shell model. A model of hemisphere was in troduced to determine the charge distribution and localelectric field on SWCNTs. It is shown that, regarding the SWCNT's ...

Nonlinear Stability of a Double-Deck Reticulated Circular Shallow Spherical Shell

XU Jia-chu, LI Yong, WANG Fan, LIU Ren-huai

2010, 31(3): 261-272. doi: 10.3879/j.issn.1000-0887.2010.03.002

Abstract(1997) PDF(1002)

Abstract:
Based on the variational equation of the nonlinear bending theory of double-deck reticulated shallow shells, equations of large deflection and boundary conditions for a doubledeck reticulated circular shallow spherical shell under a uniformly distributed pressure were derived by using coordinate tra...

Analysis of Transient Temperature Field in Coke Drums

NING Zhi-hua, LIU Ren-huai

2010, 31(3): 273-284. doi: 10.3879/j.issn.1000-0887.2010.03.003

Abstract(2164) PDF(1004)

Abstract:
One of the primary reasons leading to bulging and cracking in a coke drum is the severe temperature gradient due to cyclic temperature variation. Based on the two-dmiensional heat conduction theory, the analytical solution of the transient temperature field in the coke drum was derived, which was di...

Stress Field of Orthotropic Cylinder Subjected to Axial Compression

ZHONG Wei-zhou, SONG Shun-cheng, CHEN Gang, HUANG Xi-cheng, HUANG Peng

2010, 31(3): 285-294. doi: 10.3879/j.issn.1000-0887.2010.03.004

Abstract(2096) PDF(992)

Abstract:
Based on the material volume cons tancy hypothesis, circum ference and radial stresses of cylinder specmien were analyzed when the cylinder is loaded along the axial direction. Circum ference and radial stress distribution is radius parameter power function when specimen material constitutive relati...

Lie Group Analysis for the Effect of Temperature-Dependent Fluid Viscosity and Thermophoresis Particle Deposition on Free Convective Heat and Mass Transfer in the Presence of Variable Stream Conditions

Ramasamy Kandasamy, Muhaimin

2010, 31(3): 295-305. doi: 10.3879/j.issn.1000-0887.2010.03.005

Abstract(1470) PDF(832)

Abstract:
A steady two-dmiensional flow of incompressible fluid over a vertical stretching sheet was studied. The fluid viscosity was assumed to vary as a linear function of temperature. A scaling group of transformations was applied to the governing equations. The system remained invariant due to some relati...

Effects of Magneto Hydro Dynamic Flow Past a Vertical Plate With Variable Surface Temperature

Ibrahim A. Abbas, G. Palani

2010, 31(3): 306-314. doi: 10.3879/j.issn.1000-0887.2010.03.006

Abstract(1890) PDF(650)

Abstract:
An analysis was performed to study them agneto hydrodynamic flow of an electrically conducting, viscous incompressible fluid past a semi-infinite vertical plate with variable surface temperature, under the action of transversely applied magnetic field was carried out. The heat due to viscous dissipa...

Multi-Objective Optimization Design of Radar Absorbing Sandwich Structure

CHEN Ming-ji, PEI Yong-mao, FANG Dai-ning

2010, 31(3): 315-323. doi: 10.3879/j.issn.1000-0887.2010.03.007

Abstract(1978) PDF(984)

Abstract:
By introducing a dimen sionless parameter to couple the two objectives, weight and radar absorbing performance, in a single objective function, a multi-objective optmiization procedure for radar absorbing sandwich structure (RASS) with cellular core has been proposed. The optmiization models conside...

Fold Catastrophe Model of Strike-Slip Fault Earthquake

PAN Yue, LI Ai-wu

2010, 31(3): 324-336. doi: 10.3879/j.issn.1000-0887.2010.03.008

Abstract(2041) PDF(833)

Abstract:
By using differential form of potential energy function, and taking the effect of work applied by external force in far field in to account, the mechanism of strike-slip fault earthquake was analyzed. The researching indicates that, in catas trophe theory the characters displayed by fold catastrophe...

Hodograph Method of Flow on Two-Dimensional Manifold

LI Kai-tai, SHI Feng

2010, 31(3): 337-350. doi: 10.3879/j.issn.1000-0887.2010.03.009

Abstract(2114) PDF(817)

Abstract:
For some special flow, especially the potential flow in the plane, there are obvious advantages using the tool of hodograph method. For the realistic flow, there exists stream surface, namely, two-dmi ensionalmanifold, on which the velocity vector of the flow liesits tangent space. By in troducing t...

Existence Results for Some Fourth Order Boundary Value Problems With a Parameter

YANG Yang, ZHANG Ji-hui

2010, 31(3): 351-359. doi: 10.3879/j.issn.1000-0887.2010.03.010

Abstract(1646) PDF(715)

Abstract:
A sequel to Yang, Zhang [Nonlinear Anal, 2008, 69:1364-1375.] in which nontrivial solutions for the fourth order boundary value problems are studied. Now under the same conditions near in finity, but different from the conditions near zero, positive, negative, and sign-changing solutions are obtaine...

Wavefront Solutions in the Diffusive Nicholson’s Blowflies Equation With Nonlocal Delay

ZHANG Cun-hua, YAN Xiang-ping

2010, 31(3): 360-368. doi: 10.3879/j.issn.1000-0887.2010.03.011

Abstract(2121) PDF(696)

Abstract:
The diffusive Nicholson.s blow flies equation with a nonlocal delay in corporated as an integral convolution over all the past tmie up to now and the whole one-dmiensional spatial doma in was studied. When the delay kernel is assumed to be the strong generic kernel, by using the linear chain te chni...

Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem

FEGN Min-fu, QI Rui-sheng, ZHU Rui, JU Bing-tao

2010, 31(3): 369-378. doi: 10.3879/j.issn.1000-0887.2010.03.012

Abstract(2277) PDF(1003)

Abstract:
A new stabilized finite element method for the coupled Stokes and Darcy problem was introduced based on the noncom forming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure were derived. Finally, a numerical example verifying the theoretical predictions was presen...