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Since 1979, a series of papers have been published concerning the variational principles and generalized variational principles in elasticity such as  (1979),  (1980), [2,3] (1983) and [4,5] (1984). All these papers deal with the elastic body with linear stress-strain relations. In 1985, a...
In this note, the essence and some supplements for the unified definition of divergence, rotation and gradient advanced by Tai have been presented based on the method of exterior differential form with an expression of vectors of tensors. The main purpose of this note is to introduce the useful...
The functional transformations of variational principles in elasticity are classified as three patterns: I relaxation pattern, II augmented pattern and III equivalent pattern.
In this paper, a new analysing method called perturbational finite element is suggested, by means of which we calculate the dynamic behaviour and response to turbulent wind of hyperbolic cooling tower shell with ring-stiffeners. The results are compared with those of finite element numerical...
The stress and strain singularities of power hardening material for Mode I fracrure are analysed according to the fundamental equations of elastic-plastic mechanics. It is found that the singularities of all stress and strain components do not change in the thick direction, and neither the six...
In this paper, we establish the analytical conditions for the Helleman mapping in which the Smale horseshoe appears. Then we use it to educe the chaotic criterion of Henon maps.
In this paper, the field equation of micropolar fluid with general lubrication theory assumptions is simplified into two systems of coupled ordinary differential equation. The analytical solutions of velocity and microrotation velocity are obtained. Micropolar fluid lubrication Reynolds equation...
Based on physical meaning of Melnikov function, we establish a method to calculate period doubling bifurcation and discuss this kind of bifurcation of soft spring Duffing system and find that the result is analogous to subharmonic bifurcation, that is, period doubling bifurcation will appear if...
This paper discusses the problems of the bending, stability and vibrations of cantilever rectangular plates by means of the variational method. In the text a good many calculating examples are illustrated.
In this paper a new finite element method is presented, in which complex functions are chosen to be the finite element model and the partitioning concept of the generalized variational method is utilized. The stress concentration factors for a finite holed plate welded by a stiffener are...
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