应用数学和力学

2009 Vol. 30, No. 3

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Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

DING Xie-ping

2009, 30(3): 253-264.

Abstract(3179) PDF(720)

Abstract:
Some new systems of generalized vector quasivariational inclusion problems and system of generalized vector ideal(resp., proper, Pareto, weak) quasioptimization problems in locally FC-uniform spaces without convexity structure are introduced and studied. By using KKM type theorem and Himmelberg type...

Preliminary Group Classification of Quasi-Linear Third Order Evolution Equations

HUANG Ding-jiang, ZHANG Hong-qing

2009, 30(3): 265-281.

Abstract(3254) PDF(805)

Abstract:
Group classification of quasilinear thir dorder evolution equations is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is indicated that there are three equations adm...

Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki

2009, 30(3): 282-290.

Abstract(3878) PDF(621)

Abstract:
Using the finite-part integral concepts, a set of hypersingular integraldifferential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads was derived. In the numerical analysis, unknown displacement discontinuities were approximated by the...

Characteristic-Based Finite Volume Scheme for 1D Euler Equations

GUO Yan, LIU Ru-xun

2009, 30(3): 291-300.

Abstract(3385) PDF(1367)

Abstract:
A highorder finitevolume scheme was presented for the onedimensional scalar and inviscid Euler conservation laws. The Simpson's quadrature rule was used to achieve highorder accuracy in time. To get the point value of the Simpson's quadrature, the characteristic theory was used to obtain the positio...

Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

HU Yan-hong, SONG Wen

2009, 30(3): 301-308.

Abstract(3308) PDF(769)

Abstract:
Some classes of generalized gap functions for two kinds of generalized variational inequality problems are considered. Error bounds for the underlying variational inequalities by using the generalized gap functions under the condition that the involved mapping F is gstrongly monotone with respect to...

Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he

2009, 30(3): 309-317.

Abstract(3018) PDF(717)

Abstract:
Based on the analysis of the deformation in an infinite isotropic elastic matrix containing an embedded elliptic crack, subject to far field triaxial compressive stress, the energy release rate and a mixed fracture criterion were obtained by using an energy balance approach. The additional complianc...

Parametric Studies on the Relationships of Flutter Derivatives of Slender Bridge(Ⅱ)

XU Xu

2009, 30(3): 318-324.

Abstract(2767) PDF(609)

Abstract:
Based on the curves fitting of coefficients of three component forces of Messina Straits bridge, and the semianalytical expressions of flutter derivatives of flexible structure provided by the author(XU Xu, CAO Zhi-yuan. Linear and nonlinear aerodynamic theory of interaction between flexible long st...

Study on Velocity Distribution of Flow With Submerged Flexible Vegetations Based on Mixing-Length Approach

HUAI Wen-xin, HAN Jie, ZENG Yu-hong, AN Xiang, QIAN Zhong-dong

2009, 30(3): 325-332.

Abstract(4395) PDF(798)

Abstract:
Choosing PVC slice to simulate the flexible vegetation, the laboratory experiments were carried out in an open channel with submerged flexible vegetation, and 3D acoustic Doppler velocimeter (Micro ADV) was introduced to measure the local flow velocities and Reynolds stress. The result showed that t...

Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load

Rajneesh Kumar, Rajani Rani Gupta

2009, 30(3): 333-344.

Abstract(3246) PDF(615)

Abstract:
The effect of angle of inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load was assumed to be a linear combination of normal load and tangential load. The Laplace transform with respect to time variable a...

Engineering Analysis of Penetration of a Metal Ball Into Fibre-Reinforced Composite Targets

LI Yong-chi, WANG Zhi-hai, WANG Xiao-jun, HU Xiu-zhang

2009, 30(3): 345-352.

Abstract(2971) PDF(567)

Abstract:
An engineering analysis method of computing the penetration problem of a steel ball penetrating into fibre-reinforced composite targets is presented. The metal ball was assumed to be a rigid body, and the composite target was regarded as a transversely isotropic elasto-plastic material. In the analy...

Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane

Oluwole Daniel Makinde

2009, 30(3): 353-359.

Abstract(2777) PDF(640)

Abstract:
The thermal criticality for a reactive gravity driven thin film flow of a third grade fluid with adiabatic free surface down an inclined isothermal plane is investigated. It was assumed that the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The governin...

Existence and Joint Continuity of Local Time of Multiparameter Fractional Léy Processes

LIN Zheng-yan, CHENG Zong-mao

2009, 30(3): 360-368.

Abstract(2564) PDF(670)

Abstract:
The definition of multiparameter fractional Lvy process which more general than that studied by Xiao and Zhang was introduced firstly, and then a decomposition for it was given and shown. Later using this decomposition, existence and joint continuity of its local time were proved.

Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order

CHEN Guo-wang, HOU Chang-shun

2009, 30(3): 369-378.

Abstract(3432) PDF(970)

Abstract:
The existence and the uniqueness of the global generalized solution and the global classical solution to the initial value problem for a class of nonlinear wave equation of fourth order are studied in the fractional order Sobolev space by the contraction mapping principle and the extension theorem. ...