应用数学和力学

1993 Vol. 14, No. 8

Select articles

Display Method:

The Impact Torsional Buckling for the Rigid Plastic Cylindrical Shell

Wang De-yu, Zhang Shan-yuan, Yang Gui-tong

1993, 14(8): 659-664.

Abstract(2137) PDF(620)

Abstract:
By using the energy criterion in [3],the impact torsional buckling for the rigid plastic cylindrical shell is studied.The linear dynamic torsional buckling equations for the rigid plastic shell is drived,and the critical impact velocity is given.

Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack

Wang Jin-song, Tang Ren-ji

1993, 14(8): 665-671.

Abstract(2177) PDF(464)

Abstract:
From the dislocation type solution of the torsion of single crack,by using the concept of finite part integrals,we reduce the torsion problem of cylinder with a single crack into an integral equation with strong singularity.The numerical method is also obtained and several numerical examples are cal...

Singularity under a Concentrated Force in Elasticity

Wang Quan, Wang Da-jun

1993, 14(8): 679-677.

Abstract(2558) PDF(836)

Abstract:
We first discuss singularity problem of a sort of partial differential equation involving d funetion.Using this result we then have the answer to various singularity problems in elasticity due to the presentation of a concentrated force.Lastly corresponding conclusions in vibration problem are drawn...

Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method

Zhao Yu-xiang, Gu Xiang-zhen, Song Xi-tai

1993, 14(8): 679-685.

Abstract(2065) PDF(533)

Abstract:
In this paper,based on the mathematical theory of classical mechanics and Chen's theorem^[1],the variational method^[2] is used in the study of large deformation symmetrical elasticity problems.The generalized variational principles of potential energy and complementary energy,based on the instantaneo...

Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture (Ⅱ)

Chen Zheng-han

1993, 14(8): 687-698.

Abstract(2590) PDF(663)

Abstract:
The present paper uses the mathematics model for consolidation of unsaturated soil developed in ref.[I] to solve boundary value problems.The analytical solutions for one-dimensional consolidation problem are gained by making use of Laplace transform and finite Fourier transform.The displacement and ...

Fractal Sets in Control Systems

Cheng Dai-zhan

1993, 14(8): 699-706.

Abstract(1973) PDF(525)

Abstract:
In this paper the Hausdorff measure of sets of integral and fractional dimensions is introduced and applied to control systems.A new concept,namely,pseudo-self-similar set is also introduced.The existence and uniqueness of such sets are then proved,and the formula for calculating the dimension of se...

On Crack-Tip Strain Energy Release Rate in Non-Principal Directions of Elasticity for Simple Layer Plate of Composite Materials

Yang Wei-yang, Zhang Shao-qin

1993, 14(8): 707-713.

Abstract(2244) PDF(616)

Abstract:
In this paper,the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic roots,coefficients of elastic compliances in non-principal directions of elasticity...

Nonlinear Three-Dimension Analysis for Axially Sym-metrical Circular Plates and Multilayered Plates

Jiang Xiao-yu, Zhang Xiang-zhou

1993, 14(8): 715-727.

Abstract(2317) PDF(671)

Abstract:
Analytic nonlinear three-dimension solutions are presented for axially symmetrical homogeneous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load.The geometric nonlinearity from a moderately large deflection is considered.A developmen...

Nonsingular Kernel Boundary Element Method for Thin-Plate Bending Problems

Wang Zuo-hui

1993, 14(8): 729-733.

Abstract(2225) PDF(489)

Abstract:
In this paper,the nonsingular fundamental solutions are obtained from Fourier series under some given conditions.These solutions can be taken as the kernels of integral equation.So a new boundary element method is presented,with which all kinds of thin-plate bending problems can be solved,even with ...

The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon

Wang Xi

1993, 14(8): 739-746.

Abstract(2374) PDF(477)

Abstract:
This paper presents an analytical method of solving the elastodynamic problem of a solid sphere.The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the inhomogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compo...

A New Method for Analyzing Surface Cracks

Zeng Zhao-jing, Dai Shu-he

1993, 14(8): 747-752.

Abstract(2347) PDF(481)

Abstract:
The authors have developed a new line-spring boundary element method in the present paper,which combines the advantage of the line-spring model with that of the boundary element method.This method reduces the three-dimension problem of the surface cracks into a quasi-one-dimension problem and can be...