2011 Vol. 32, No. 11

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On a Fractional-Order Maxwell Model of Seabed Mud and Its Effect to Surface-Wave Damping
XIA Yue-zhang, ZHU Ke-qin
2011, 32(11): 1265-1273. doi: 10.3879/j.issn.1000-0887.2011.11.001
Abstract(1775) PDF(984)
Abstract:
A fractional-order Maxwell model was used to describe viscoelastic seabed mud.The experimental data of real mud were fitted well by the fractional-order Maxwell model,which had fewer parameters than the traditional one.This model was then applied to investigate the effect of mud on surface-wave damp...
MHD Effects on Free Convective Flow Over Moving Semi-Infinite Vertical Cylinder With Temperature Oscillation
P. Loganthan, M. Kannan, P. Ganesan
2011, 32(11): 1274-1282. doi: 10.3879/j.issn.1000-0887.2011.11.002
Abstract(2076) PDF(839)
Abstract:
Numerical solutions of MHD effects on free convective flow an incompressible viscous fluid past a moving semi-infinite vertical cylinder with temperature oscillation was presented.The dimensionless, unsteady,non-linear and coupled governing partial differential equations were solved using an implici...
Effects of Residual Interface Stress on Effective Thermal Expansion Coefficient of Particle-Filled Composite
HUANG Ru-chao, CHEN Yong-qiang
2011, 32(11): 1283-1293. doi: 10.3879/j.issn.1000-0887.2011.11.003
Abstract(1580) PDF(844)
Abstract:
The "three configurations" based surface/interface energy theory proposed by Huang et al was used to study the effective properties of thermal elastic nanocomposites.Particular emphasis was placed on the discussions of the influence of the residual interface stress on the thermal expansion coefficie...
Nonstationary Probability Densities of System Response of Strongly Nonlinear Single-Degree-of-Freedom System Subject to Modulated White Noise Excitation
JIN Xiao-ling, HUANG Zhi-long, LEUNG Andrew Y T
2011, 32(11): 1294-1305. doi: 10.3879/j.issn.1000-0887.2011.11.004
Abstract(1705) PDF(1136)
Abstract:
The nonstationary probability densities of system response of a single-degree-of-freedom system with lightly nonlinear damping and strongly nonlinear stiffness subject to dulated white noise excitation were studied.Using the stochastic averaging method based on the generalized harmonic functions,the...
Exact Solutions of Two Semi-Infinite Collinear Cracks in a Piezoelectric Strip
LU Zi-xing, LIU Ping, GUO Jun-hong
2011, 32(11): 1306-1313. doi: 10.3879/j.issn.1000-0887.2011.11.005
Abstract(1635) PDF(727)
Abstract:
Using the complex variable function method and the technique of the conformal mapping,the fracture problem of two semi-infinite collinear cracks in a piezoelectric strip was studied under the antiplane shear stress and in-plane electric load on the partial crack surface.The analytic solutions of the...
Convergence and Exact Solutions of the Spline Finite Strip Method Using a Unitary Transformation Approach
Jackson KONG, Dick THUNG
2011, 32(11): 1314-1328. doi: 10.3879/j.issn.1000-0887.2011.11.006
Abstract(1790) PDF(733)
Abstract:
The spline finite strip method was one of the most popular numerical methods for analyzing prismatic structures.Efficacy and convergence of the method had been demonstrated in previous studies by comparing only numerical results with analytical results of some benchmark problems.To date,no mathemati...
Propagation of Harmonic Waves Through a Micro Gap With Consideration of Frictional Contact
CHEN Xiao-yun, YU Gui-lan
2011, 32(11): 1329-1341. doi: 10.3879/j.issn.1000-0887.2011.11.007
Abstract(1880) PDF(712)
Abstract:
Propagation of elastic waves through a micro gap between two solids with consideration of frictional contact was investigated.By using the Fourier analysis technique and corrective solution method, the nonlinear boundary problem was reduced to a set of algebraic equations.Numerical results exhibit t...
Separation Work Analysis of Cohesive Law and Consistently Coupled Cohesive Law
HE Ming-hua, XIN Ke-gui
2011, 32(11): 1342-1351. doi: 10.3879/j.issn.1000-0887.2011.11.008
Abstract(1264) PDF(713)
Abstract:
An appropriate coupled cohesive law for predicting mixed mode failure was established by combining normal separation and tangential separation of surface in cohesive zone model and cohesive element method.Xu-Needleman exponential cohesive law with fully shearing failure mechanism was one of the most...
Self-Similar Solutions to the Lin-Reissner-Tsien Equation
John Haussermann, K. Vajravelu, Robert A. Van Gorder
2011, 32(11): 1352-1360. doi: 10.3879/j.issn.1000-0887.2011.11.009
Abstract(1773) PDF(738)
Abstract:
The Lin-Reissner-Tsien equation describes unsteady transonic flows under the transonic approximation.The equation was reduced to an ordinary differential equation via a similarity transformation. The resulting equation was then solved analytically,and in some cases even exactly.Numerical simulations...
Bilevel Generalized Mixed Equilibrium Problems Involving Generalized Mixed Variational-Like Inequality Problems in Reflexive Banach Spaces
DING Xie-ping
2011, 32(11): 1361-1377. doi: 10.3879/j.issn.1000-0887.2011.11.010
Abstract(1757) PDF(785)
Abstract:
A new class of bilevel generalized mixed equilibrium problems(BGMEP)involving generalized mixed variational-like inequality problems was introduced and studied in reflexive Banach spaces. First,an auxiliary generalized mixed equilibrium problem(AGMEP)to compute the approximate solutions of the bilev...
Sloshing Simulation of Standing Wave With a Time-Independent Finite Difference Method for Euler Equations
LUO Zhi-qiang, CHEN Zhi-min
2011, 32(11): 1378-1390. doi: 10.3879/j.issn.1000-0887.2011.11.011
Abstract(2074) PDF(851)
Abstract:
The numerical solutions of standing wave for Euler equations with nonlinear free surface boundary condition in a two dimensional tank were solved.The irregular tank was mapped onto a fixed square domain through proper mapping functions and a staggered mesh system was employed in a two dimensional ta...