1990 Vol. 11, No. 7

Display Method:
Equation in Complex Variable of Axisymmetrical Deformation Problems for a General Shell of Revolution
Qian Wei-zhang
1990, 11(7): 565-579.
Abstract(2297) PDF(650)
Abstract:
In this paper,the equation of axisymmetrical deformation problems for a general shell of revolution is derived in one complex variable under the usual Love-Kirchhoff assumption.In the case of circular ring shells,this equation may be simplified into the equation given by F.Tdlke(1938)[3].R.A.Clark(1...
Strain Path Theory of Plastic Constitutive Relation
Zhao Zu-wu
1990, 11(7): 581-590.
Abstract(2263) PDF(717)
Abstract:
Based on Illiushin's two hypotheses,a new plastic constitutive equation of integral type is proposed.The devialoric stress induced by a strain path consists of two parts which vary according to different laws.Comparison of theoretical calculation with recent experiments is satisfactory.The present t...
Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry
Yun Tian-quan
1990, 11(7): 591-595.
Abstract(1988) PDF(472)
Abstract:
This paper discusses the solution of a group of two-order six elements rooted algebraic simultaneous equations set up by cosine law arising from the application example of subjectivity geometry[1].By means of the implicit function theorem,this paper proves that there exists a unique real solution of...
Asymptotic Solution of Singular Perturbation Problems for the Fourth-Order Elliptic Differential Equations
Su Yu-cheng, Liu Guo-qing
1990, 11(7): 597-610.
Abstract(2122) PDF(612)
Abstract:
In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation,establish the energy estimates of the solutionand its derivatives and construct the formal asymptotic solution by Lyuternik-Vishik's method.Finally,by means of the energy est...
A Study of the Postbuckling Path of Cylindricaily Curved Panels of Laminated Composite Materials during Loading and Unloading
Dong Wan-lin, Huang Xiao-qing
1990, 11(7): 611-616.
Abstract(1779) PDF(435)
Abstract:
In this paper,Dynamic Relaxation Method is applied to study the postbuckling path of cylindrically curved panels of laminated composite materials during loading and unloading.The phenomenon that loading paths do not coincide with unloading paths has been found.Numerical results are given for cylindr...
Rate Variational Extremum Principles for Finite Elastoplasticity
Gao Yang, E. T. Onat
1990, 11(7): 617-624.
Abstract(1985) PDF(475)
Abstract:
Dual variational extremum principles for rate problems of classical elastoplasticitv at finite deformation are studied in Updated Lagrangian rate forms.It is proved that the convexity of the variational functionals are closely related to a so-called gap function,which plavs an important role in nonl...
The Solution of a Crack Emanating from an Arbitrary Hole by Boundary Collocation Method
Wang Yuan-han, Li Chun-zhi
1990, 11(7): 625-634.
Abstract(2297) PDF(612)
Abstract:
In this paper a group of stress functions has been proposed for the calculation of a crack emanating from a hole with different shape(including circular,elliptical,rectangular,or rhombic hole) by boundary collocation method.The calculation results show that they coincide very well with the existing ...
Application of One-Parameter Groups of Transformation in Mechanics
Xu Xue-zi, Chen Huai-yong
1990, 11(7): 636-642.
Abstract(2371) PDF(944)
Abstract:
In this paper,including some partial differential equations with a number of independent variables,which can he reduced by the infinitesimal form of the group,we obtain the theory of similarity transformation and its application of the second order nonlinear partial differential equations which have...
On J-Integrals Near Models Ⅰ, Ⅱ Crack Tips in the Plates of Orthotropic Composite Material
Yang Wei-yang, Zhang Shao-qin
1990, 11(7): 643-651.
Abstract(1885) PDF(621)
Abstract:
In this paper,we prove the independence of the path of the imegrals near model Ⅰ Ⅱ track tips in the plate of the orthotropic composite material.Then we derive the computing formulae of the J-integrals at the cases of and by using a complex variable method and redueing J-imegrals to compley farm The...
On Some Problems in Dynamic Computation for Thin-Walled Structures
Cheng Xiang-sheng
1990, 11(7): 653-657.
Abstract(1809) PDF(478)
Abstract:
This article discusses the problems of the dynamic computation for thin-walled structures such as thin plates and thin shells under impact load to find the dynamic factor mainly.In calculation we take into account the effect of the mass of the striking object and the system of thin-walled structures...