应用数学和力学

1992 Vol. 13, No. 11

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Finite Layer Analysis for Semi-Infinite Soils(Ⅱ)——Special Cases and Numerical Examples

Loo wen-da, Yang Zheng-wen

1992, 13(11): 945-950.

Abstract(2184) PDF(451)

Abstract:
In the present paper reductions of the finite layer mathod once studied in detail by the authors for the elastodvnamics of transverse isotropic bodies are given to several special cases.Two-dimensional problems,axisymmetric problems and static problems are discussed,respectively,and this finite laye...

General Solution for Large Deflection Problems of Nonhomogeneous Circular Plates on Elastic Foundation

Ji Zhen-yi, Yeh Kai-yuan

1992, 13(11): 951-962.

Abstract(2011) PDF(559)

Abstract:
In this paper,a new method is presented based on [1].It can be used to solve the arbitrary nonlinear system of differential equations with variable coefficients.By this method,the general solution for large deformation of nonhomogeneous circular plates resting on an elastic foundation is derived.The...

A Coupling Difference Scheme for the Numerical Solution of a Singular Perturbation Problem

Sun Xiao-di, Wu Qi-guang

1992, 13(11): 963-970.

Abstract(2329) PDF(466)

Abstract:
In this paper,we consider a singularly perturbed problem without turning points.On a special discretization mesh,a coupling difference scheme,resulting from central difference scheme and Abrahamsson-Keller-Kreiss box scheme,is proposed and the second order convergence,uniform in the small parameter,...

Hamiltonian System and Simpletic Geometry in Mechanics of Composite Materials(Ⅰ)——Fundamental Theory

Zhong Wan-xie, Ouyang Hua-jiang

1992, 13(11): 971-975.

Abstract(2822) PDF(671)

Abstract:
For the first time,Hamiltonian systemused in dynamics is introduced to formulate statics and Hamiltonian equation is derived corresponding to the original governing equation,which enables separation of variables to work and eigen function to be obtained for the boundary problem.Consequently,analytic...

Subspace Variational Principle of Rods and Shells

Zheng Quan-shui, Yang De-pin, Song Gu-quan

1992, 13(11): 977-983.

Abstract(2495) PDF(551)

Abstract:
This paper builds the general forms of subspace variational principles of rods and shells which are taken as the controlled equations of the constitutive theories developed front the three-dimensional(non-polar) continuum mechanics.And the constitutive equations of rods and shells using the principl...

Theory of Elasticity of an Anisotropic Body for the Bending of Beams

Luo Jian-hui, Li Li-juan

1992, 13(11): 985-991.

Abstract(2736) PDF(560)

Abstract:
A theory of elasticity for the bending of orthogonal anisotropic beams has been developed by analogy with the special case,which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates to the problems of two deminsions.In this paper,we present a method to so...

The Solution for Two-Phase Flow by Split Flux Vector Method

Weng Rong-zhou

1992, 13(11): 993-1000.

Abstract(2061) PDF(570)

Abstract:
In this paper the transient two-phase flow equations and their eigenvalues are first introduced.The flux vector is then split into subvectors which just contain a specially signed eigenvalue.Using one-sided spatial difference operators finite difference equations and their solutions are obtained.Fin...

The New Criteria of Elastic and Fatigue Failure in the Component of Complex Stress States

Hu Zhu-hua

1992, 13(11): 1001-1007.

Abstract(2089) PDF(596)

Abstract:
In this paper,a total criterion on elastic and fatigue failure in complex stress,that is.octahedral stress strength theory on dynamic and static states on the basis of studying modern and classic strength theories.At the same time,an analysis of an independent and fairly comprehensive theoretical sy...

Theory of Thick-Walled Shells and Its Application in Cylindrical Shell

Fang Ying-guang, Pan Ji-hao, Chen wei-xin

1992, 13(11): 1009-1019.

Abstract(2802) PDF(882)

Abstract:
In this paper,a theory of thick-walled shells is established by means of Hellinger-Reissner's variational principle,with displacement and stress assumptions.The displacements are expanded into power series of the thickness coordinate.Only the first four and the first three terms are used for the dis...

The Traction Problem in Elastodynamics

Gu An-hai

1992, 13(11): 1021-1029.

Abstract(2151) PDF(448)

Abstract:
In continuum mechanics.Cauchy's six equations

are incomplete[1] and the famous Cauchy's laws of motion

where ,ρb,T and divT are continuous are also incomplete^[2].The first six equations are incomplete because the geometrical representation of deformation at a given point is as yet incomplete^[3],and...