应用数学和力学

2005 Vol. 26, No. 12

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New Boundary Element Method for Torsion Problems of a Cylinder With Curvilinear Cracks

WANG Yin-bang, LU Zi-zi

2005, 26(12): 1387-1393.

Abstract(2766) PDF(643)

Abstract:
The Saint-Venant torsion problems of a cylinder with curvilinear cracks were considered and reduced to solving the boundary integral equations only on cracks.Using the interpolation models for both singular crack tip elements and other crack linear elements,the boundary element formulas of the torsi...

Interfacial Crack Analysis in Three-Dimensional Transversely Isotropic Bi-Materials by Boundary Integral Equation Method

ZHAO Ming-hao, LI Dong-xia, SHEN Ya-peng

2005, 26(12): 1394-1400.

Abstract(2975) PDF(654)

Abstract:
The integr al-differential equations for three-dimensional planar interfacial cracks of arbitrary shape in transversely isotropic bimaterials were derived by virtue of the Somigliana identity and the fundamental solutions,in which the displacement discontinuities across the crack faces are the unkno...

System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)

DING Xie-ping

2005, 26(12): 1401-1408.

Abstract(2950) PDF(917)

Abstract:
A new notion of finite continuous topological space (in short,FC-space) without convexity structure was introduced.A new continuous selection theorem was established in FC-spaces.By applying the continuous selection theorem,some new coincidence theorems for two families of set-valued mappings define...

System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅱ)

DING Xie-ping

2005, 26(12): 1409-1416.

Abstract(2540) PDF(685)

Abstract:
By applying coincidence the orems in ( ) for two families of set-valued mappings defined on product space of noncompact FC-spaces in prece ding paper,some new existence theorems for system of vector equilibrium problems,system of inequalities and system of minimax the orems weree stablished in FC-sp...

Dual Reciprocity Boundary Element Method for Flexural Waves in Thin Plate With Cutout

GAO Suo-wen, WANG Yue-sheng. ZHANG Zi-mao, MA Xing-rui

2005, 26(12): 1417-1424.

Abstract(3146) PDF(475)

Abstract:
The theoretical analysis and numerical calculation of scattering of elastic waves and dynamic stress concentrations in the thin plate with the cutout was studied usingdual reciprocity boundary element method (DRM).Based on the work equivalent law,the dual reciprocity boundary integral equations for ...

Adaptive Finite Element Method for Analysis of Pollutant Dispersion in Shallow WaterSomboon Otarawanna,Pramote Dechaumphai

LIU You-wen, FANG Qi-hong

2005, 26(12): 1425-1435.

Abstract(2640) PDF(460)

Abstract:
A finite element method for analysis of pollutant dispersion in shallow water is presented.The analysis is divided into two parts:1) computation of the velo city flow field and water surface elevation,and 2) computation of the pollutant concentr ation field from the dispersion model.The method was c...

Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion

LIU You-wen, FANG Qi-hong

2005, 26(12): 1436-1444.

Abstract(2885) PDF(497)

Abstract:
The plane elastic problem of circular-arcrigid line inclusions is considered.The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or the circular inclusion.Based on complex variable method,the general solutions of the p...

Numerical Simulation Study on Rock Breaking Mechanism and Process Under High Pressure Water Jet

NI Hong-jian, WANG Rui-he, ZHANG Yan-qing

2005, 26(12): 1445-1452.

Abstract(2755) PDF(1000)

Abstract:
The numerical simulation method to study rock breaking process and mechanism under high pressure water jet was developed with the continuous mechanics and the FEM theory.The rock damage model and the damage-coupling model suited to analyze the whole process of water jet breaking rock were establishe...

Way to Determine the Stiffness Function of Structure

WANG De-ming, GAI Bing-zheng

2005, 26(12): 1453-1458.

Abstract(2707) PDF(654)

Abstract:
For calculating the stiffness function of a structure,the differential equation of the vibration of the structure was divided into the differential equation on the original stiffness function that was known,and Fredholm integral equation of the first kind on the undetermined stiffness function that ...

Moving Screw Dislocation in Cubic Quasicrystal

ZHOU Wang-min, SONG Yu-hai

2005, 26(12): 1459-1462.

Abstract(2919) PDF(681)

Abstract:
The elasticity theory of the dislocation of cubic quasicrystals is developed.The governing equations of anti-plane elasticity dynamics problem of the quasicrystals were reduced to a solution of wave equations by introducing displacement functions,and the analytical expressions of displacements,stres...

Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion

DAI Long-chao, GUO Wan-lin, SHE Chong-min

2005, 26(12): 1463-1469.

Abstract(2919) PDF(762)

Abstract:
By using the complex variables function theory,a plane strain electro-elastic analysis was perfor medona transversely isotropic piezoelectric material containing an elliptic elastic inclusion,which is subje cted to a unifor mstress field and a uniform electric displacement loads at infinity.Based on...

Slippage Solution of Gas Pressure Distribution in the Process of Landfill Gas Seepage

XUE Qiang, FENG Xia-ting, LIANG Bing

2005, 26(12): 1470-1478.

Abstract(2924) PDF(625)

Abstract:
A mathematical model of landfill gas migration was established under presumption of the effect of gas slippage.The slippage solutions to the nonlinear mathematical model were accomplished by the perturbation and integral transformation method.The distribution law of gas pressure in landfill site was...

Motion and Deformation of a Viscous Drop in Stokes Flow Near a Rigid Wall

LU Hua-jian, ZHANG Hui-sheng

2005, 26(12): 1479-1486.

Abstract(2748) PDF(472)

Abstract:
A boundary integral method was developed for simulating the motion and deformation of a viscous drop in an axisymmetric ambient Stokes flow near a rigid wall and for direct calculating the stress on the wall.Numerical experiments by the method were performed for different initial stand-off distances...

Asymptotic Non-Stability and Blow-up at the Boundary for the Solutions of a Filtration Equation

CAO Zhen-chao, CHEN Peng-nian

2005, 26(12): 1487-1492.

Abstract(2630) PDF(628)

Abstract:
For a class of nonlinear Filtration equation with nonlinear second-third boundary value condition,it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the boundary of the region.The priori estimate of the solutions was established by iter...

Exact Augmented Lagrangian Function for Nonlinear Programming Problems With Inequality Constraints

DU Xue-wu, ZHANG Lian-sheng, SHANG You-lin, LI Ming-ming

2005, 26(12): 1493-1499.

Abstract(3087) PDF(1057)

Abstract:
An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed.Under suitable hypotheses,the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variabl...

Continuity of Generalized Inverses of Linear Operators in Banach Spaces and Its Applications

HUANG Qiang-lian, MA Ji-pu

2005, 26(12): 1500-1506.

Abstract(2811) PDF(768)

Abstract:
The perturbation problem of generalized inverse is studied.And somenewsta bility characteristics of generalize dinverses were prese nted.It was also proved that the stability characteristics of gener alized inverses were independent of the choice of the generalize dinver se.Based on this result,two ...

A Class of Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations With Boundary Perturbation

MO Jia-qi, WANG Hui, LIN Wan-tao

2005, 26(12): 1507-1511.

Abstract(2913) PDF(718)

Abstract:
A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered.Under suitable conditions,first,the outer solution of the original problem was obtained.Secondly,using the stretched variable,the com...