Table of Content

18 January 1997, Volume 18 Issue 1

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Articles

THE FIRST ORDER APPROXIMATION OF NON-KIRCHHOFF-LOVE THEORY FOR ELASTIC CIRCULAR PLATE WITH FIXED BOUNDARY UNDER UNIFORM SURFACE LOADING (Ⅰ)

Chien Weizang

1997, 18(1):  1-18. 

Abstract ( 616 )   PDF (871KB) ( 1111 )  

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Based on the approximation theory adopting non-Kirchhoff-Love assumption forthree dimensional elaslic plates with arbitrary shapes[1][2], the author derives afunctional of generalized variation for three dimensional elastic circular plates, therebyobtains a set of differtial equations and the relate boundary conditions to establish afirst order approximation theory for elastic circular plate with fixed boundary andunder uniform loading on one of its surface. The analytical solution of this problemwill present in another paper.

NONLINEAR THEORY OF MULTILAYER SANDWICH SHELLS AND ITS APPLICATION (Ⅰ)──GENERAL THEORY

Wu Jiancheng;Pan Lizhou

1997, 18(1):  19-27. 

Abstract ( 798 )   PDF (517KB) ( 439 )  

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In this paper, a nonlinear theory is given for multilayer sandwich shell sundergoing small strains and moderate rotations. Then a simplified theory for the shells undergoing moderate or moderate/small rotations are obtained.

SNAP-BUCKLING OF DISHED SHALLOW SHELLS UNDER UNIFORM LOADS

Liu Dong;Chen Shanlin

1997, 18(1):  29-36. 

Abstract ( 573 )   PDF (389KB) ( 355 )  

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A theoretical analysis is presented for the snap-buckling behaviour of dished shallow shells under undorm loads. By means of lhe modified iteration method, the second approximate formula of elastic behaviour and a set of numerical solutions aregiven. And effects of parameters β and k on the snap-buckling behaviour are discussed.

A NEW APPROACH TO PREDICTING INTERFACIAL CRACK GROWTH

Hu Hurang;Wu Chengping

1997, 18(1):  37-44. 

Abstract ( 494 )   PDF (532KB) ( 277 )  

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A new approach, called “β=0 approach” is presented for use in the prediction ofinlerfocial crack growth. This approach is a kind of transformation. It transforms anoscillatory stress field to a nonoscillatory case by adjusting the elastic constants of thematerials involved. The interface toughness locus is also changed according to the newmaterial properties. It is shown that this approach will predict the exact same criticalload as interfacial fracture mechanics does. Finally several examples are presented toshow how to enforce β=0 while keeping the energy release rate unchanged.

NEW POINTS OF VIEW ON THE NONLOCAL FIELD THEORY AND THEIR APPLICATIONS TO THE FRACTURE MECHANICS (Ⅰ)──FUNDAMENTAL THEORY

Huang Zhixin;Fan Weixun;Huang Weiyang

1997, 18(1):  45-54. 

Abstract ( 482 )   PDF (697KB) ( 484 )  

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In the linear nonlocal elasticity theory, the solution to the boundary-value problemof the crack with a constant stress boundary condition does not exist. This problemhas been studied in this paper. The contents studicd contain of examining objectivity ofthe energy balance, deducing the constitutive equations of nonlocal thermoelasticbodics, and determining nonlocalforce and the linear nonlocal elasticity theory. Somenew results are obtained. Among them, the stress boundary condition derived from thelinear theory not only solves the problem mentioned at the beginning, but also containsthe model of molecular cohesive Stress on the shorp crack tip advanced by Barenblatt.

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

Mei Fengxiang

1997, 18(1):  55-60. 

Abstract ( 525 )   PDF (339KB) ( 435 )  

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This paper proposes firstly the pfaff-Birkhoff-D’Alembert s principle and obtainsthe equations of motion in terms of the independent variables for a constrained Birkhoff’s system from the principle. Secondly, it establishes the equations ofperturbation of the system. Finally, it obtains the stability criteria by using theLiaqpunov direct method and the firstly approximate method.

THE OPTIMAL CONTROL VARIATIONAL PRINCIPLE AND FINITE ELEMENTS ANALYSIS FOR VISCOPLASTIC DYNAMICS

Ma Jinghuai

1997, 18(1):  61-68. 

Abstract ( 631 )   PDF (432KB) ( 564 )  

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This paper presents the optimal control variational principle for Perzyna modelwhich is one of the main constitutive relation of viscoplasticity in dynamics. And itcould also be transformed to solve the parametric quadratic programming problem.The FEM form of this problem and its implementation have also been discussed in thepaper.

UNITIVE ANALYSIS SCHEMES ON PROBLEMS OF MULTIPLE MOVING BOUNDARIES WITH 3-D LIQUID-SOLID MULTIPLE NONLINEAR COUPLING FOR UPLIFT OF ANCHORED LIQUID STORAGE TANKS

Wen Dechao;Zheng Zhaochang

1997, 18(1):  69-79. 

Abstract ( 547 )   PDF (676KB) ( 518 )  

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In the paper, 3-D analysis method with unitive schemes is set up. which is used toresolve the uplift with multiple moving boundaries and multiple nonlinear coupling for anchored liquid storage tanks. In it. an algorithm of quasi-harmonious finite elementsfor arbitrary quadrilateral of thin plates and shells is built up to analyze the multiplecoupling problems of general thin plates and shells structures with three dimensions,the complementary equations for analyzing uplifting moving boundary problems arededuced The axial symmetry and presumption of beam type mode are not used. In it,an algorithm is put forward for analyzing the Navier-Stokes problems of unsteady,three-dimensional, and viscous liquid with sloshing of moving boundary surfaces in large amplitude under ALE.frame by scheme of time-split-steps to which linearpotential theory is not applied. The algorithms can be used to analyze the solid liquidmultiple nonlinear coupling problems with 3-D moving boundary with friction in multiple places.

THREE DIMENSIONAL SIMULATION OF UNSTABLE IMMISCIBLE DISPLACEMENT IN THE POROUS MEDIUM

Tan Xiaoping;Pei Juemin;Chen Junkai

1997, 18(1):  81-89. 

Abstract ( 605 )   PDF (566KB) ( 529 )  

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In this Study changes of uncontinuous potential functions at the interface wereused to simulate the immiscible displacement in porous media. The elliptic partialdifferential equation was changed to a seven-pomt molecule form algebraic equation inthree dimensions using the finite difference method. The Strongly implicit procedurewas adopted to determine the potential functions at every time instant. Then thechange of interface was determmed. The simulation was continued until thedisplacement changed to unstable state. The effect of capillary pressure, wettingproperly, and nonuniformity of permeability were consthered.

NEURAL NETWORK-BASED ADAPTIVE CONTROL OF A CLASS OF UNCERTAIN NONLINEAR SYSTEMS

Mu Xiaowu;Zhang Huaizhou

1997, 18(1):  91-95. 

Abstract ( 461 )   PDF (276KB) ( 486 )  

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For a general class of nonlinear systems with uncertainty, an adaptive controlscheme based on combining sliding control ideas with neural network is proposed thecontrol law is to control the plant to track a desired refermce signal within aprespecified precision. A global convergence result is provided

THE NONPARAMETRIC ESTIMATION OF THE NEXT FAILURE TIME

Li Gang

1997, 18(1):  97-101. 

Abstract ( 474 )   PDF (247KB) ( 405 )  

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The nonparametric estimation of the next failure time is considered in this paper.The estimator given in the paper has a.s. convergence under some proper conditions.The asymptotic normality of the estimator is also discussed.