Applied Mathematics and Mechanics (English Edition)

RUDIMENTAL EQUATIONS FOR THERMO-ELASTO-PLASTIC STRESS ANALYSIS DURING CONTINUOUS CASTING WITH PHASE CHANGE

赵兴华;陈小弟

1994, 15(3): 201-209.

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Coupled relations among temperature, phase transformation and stress have beendiscussed here in the present paper. Thermo-elasto-plastic constitutive equationsincluding creep and iterative finite element formulation during continuous casting withphase change have also been presented.

THE EXPRESSION OF STRESS AND STRAIN AT THE TIP OF THREE-DIMENSIONAL NOTCH

钱俊;龙驭球

1994, 15(3): 211-221.

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The singularity of stress and strain at the tip of three-dimensional notch isanalysed by the power expansion method .the eigenquation of the notch is gainedthrough the boundary conditions of the notch, the eigenvalues under different innerangles of the notch are obtained, the expression of stress and strain at the tip of thenotch is finally derived .

THE CONSERVATION LAW AND THE RADIATION OF GENERAL RELATIVITY

林汝耀

1994, 15(3): 223-228.

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This paper presents the conservation law of Einstein’s General Relativity, in whichthe continuity equation of matter and gravitational field is implicitly derived from theequation of motion of matter. Although the obtained energy-momentum tensor is thesame as the Landau- Lifshitz pseudotensor. the physical and conceptual foundation aredifferent. Two alternative methods to obtain the gravitational radiation are proposed inthis paper as well The radiation will be derived from the equation of motion of matterand geodesic equation separately.

SOLUTION TO THE FORM OF POlSSON EQUATION BY THE BOUNDARY ELEMENT METHODS

刘希云

1994, 15(3): 229-234.

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In this paper, the domain integral of the form of Poisson equation is translatedinto complete boundary integral by the fundamental solution of higher-order Laplaceoperator, the dimensions of the problem can be contracted into one. The numericalexamples for Stokes equations show that this method is efficient.

SOLUTIONS OF THE GENERAL n-TH ORDER VARIABLE COEFFICIENTS LINEAR DIFFERENCE EQUATION

周之虎

1994, 15(3): 235-246.

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In this paper.variable operator and its product with shifting operator are studied.The product of power series of shifting operator with variable coefficient is defined andits convergence is proved under Mikusinski’s sequence convergence.After turning ageneral variable coefficient linear difference equation of order n into a set of operatorequations.we can obtain the solutions of the general n-th order variable coefficientlinear difference equation.

EFFECT OF MAGNETIC FIELDS ON VISCOUS LIQUID COLUMN WITH FINITE LENGTH IN A VERTICAL STRAIGHT TUBE

温功碧;孙克利

1994, 15(3): 247-258.

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The formation of thrombus is closely related to the hydrodynamical conditions.Chandler’s experiment and further research shows that the cause thrombus formed inthe lower meniscus may be that the fluid particles at relatively high speed strike on thelower meniscus leading to the gathering of platelet and red blood cells(RBC).Thispaper deals with the motion of viscous liquid column with finite length and two freesurfaces in a vertical straight tube under the action of magnetic fields,numericalsolution is obtained by the time-dependent method in a finite difference technipues.The results show that under the action of a proper magnetic field. the axial velocity atthe lower meniscus near the axis will decrease. strike on the lower meniscus will bereduced and then thrombus formation at the lower meniscus can be avoided.Thisresult provides a guide to further experimental research on the mechanism of thrombusformation and medical treatment to thrombus.

NECESSARY AND SUFFICIENT CRITERIA FOR ABSOLUTE STABILITY OF THE DIRECT CONTROL SYSTEM

张继业;舒仲周

1994, 15(3): 259-266.

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In this paper,some necessary and sufficient conditions for absolute stability ofseveral classes of direct control system are given,and the two simplified forms of thecontrol systems obtained twice[2,4] are discussed.The corresponding results in [7-12]are improved.

SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMS OF REACTION DIFFUSlON EQUATION WITH DELAY

张祥

1994, 15(3): 267-273.

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In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.

THREE-DIMENSIONAL NONLINEAR ANALYSIS OF DRILL STRING STRUCTURE IN ANNULUS

刘延强;吕英民

1994, 15(3): 275-290.

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