应用数学和力学

1981 Vol. 2, No. 4

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Constitutive Theories for Nonlocal Micropolar Continua with Implicity and with Multiple Interactions

Tai Tien-min

1981, 2(4): 347-352.

Abstract(1928) PDF(456)

Abstract:
In this paper the constitutive theory for nonlocal micropolar continua which was proposed by A. C. Eringen is extended to the cases for nonlocal micropolar continua with implicity and with multiple interactions. Here nonlocal micropolar thermoelastic solids with implicity and with multiple interacti...

Numerical Analysis of the Spallation of Steel Target under the Explosive Loading

Chu Chao-hsiang, Li Yong-chi, Wang Xiao-jun

1981, 2(4): 353-368.

Abstract(2009) PDF(894)

Abstract:
The numerical analysis of the propagation of stress waves and the allied scabbing phenomena in a steel plate under explosive attack is made, by using a model of one-dimensional flow. The results are compared with our experimental results which were carried out several years ago. It is found that, in...

Bending of Rectangular Cantilever Plate with Discontinuous Loading

Chang Fo-van

1981, 2(4): 369-377.

Abstract(2121) PDF(707)

Abstract:
The cantilever rectangular plates discussed previously ate all loaded continuously. Such as loaded uniformly or by a concentrated load at any point along the free edge.Let us now go a step further to deal with the case of discontinuous loading by taking a concentrated load at the middle of the plate...

The Differential Equations of Heat Transfer for Some Cases of Variable Thermal Conductivities

Liu Hsien-chih

1981, 2(4): 379-385.

Abstract(1806) PDF(623)

Abstract:
By managing the heat conduction problem in solids the thermal conductivity is usually taken as a constant,but in reality varying thermal conductivity reveals in every heat transfer process, Therefore, in the present paper,we wish to consider it to vary with the space coordinate according to a linear...

Extended Graphical Representation of Rational Fractions with Applications to Cybernetics

Wong Chia-ho

1981, 2(4): 387-396.

Abstract(1992) PDF(523)

Abstract:
In this paper, we discuss the extended graphical frepresentation of the fraction of a complex variable s

Where K is confined to be real. Three figures of the above fraction can be used in feedback systems as well as to study the properties of figures for any one coefficient of a characteristic equa...

The Solitary Waves in a Gradually Varying Channel of Arbitrary Cross-section

Chou Xian-chu

1981, 2(4): 397-406.

Abstract(1845) PDF(488)

Abstract:
In this paper, the solitary waves in an arbitrary cross-section channel which gradually changes in the streamwise have been studied. The KdV equation with slowly varying coefficients is derived. Thus, we produced the first term of its asymptotic solution, travel speed of solitary waves and the relat...

The Motion of Viscous Liquid Cylinder with Finite Length in a Vertical Capillary Tube

Wu Wang-yi, Qian Min-quan, Wen Gong-bi

1981, 2(4): 407-418.

Abstract(1762) PDF(710)

Abstract:
This paper deals with the motion of viscous liquid column with finite length and two free surfaces in a vertical straight capillary tube. It is assumed that fluid is Newtonian. Linearizing the boundary conditions, analytic expressions in the form of infinite series have been obtained for velocity, p...

Exact Solution for the Compressible Flow Equations Through a Medium with Triple-Porosity

Liu Ci-qun

1981, 2(4): 419-424.

Abstract(1919) PDF(660)

Abstract:
This paper obtains the exact solution for the unsteady radial flow equations of the slightly compressible liquid through a medium with triple-porosity by using, the method of decomposition. This solution not only reveals the essential characters of the unsteady flow of liquid through a medium with m...

On Laminar Boundary Layers with Suction

Huang Ze-yan

1981, 2(4): 425-438.

Abstract(1797) PDF(499)

Abstract:
In this paper, we obtain the asymptotic solution of the general equation for laminar boundary-layer flows with suction. Formulae for calculating the displacement thickness, momentum thickness, and skin friction are then derived. And further, the problem of determining the separation point is dealt w...

Some Discussions on Finite Deformation of Continuous Media

Cheng Yuan-sheng

1981, 2(4): 439-444.

Abstract(1832) PDF(507)

Abstract:
Three problems are discussed in this paper: 1. The physical significance of the characteristic tensor of finite deformation is discussed as a complement to the literature^[2]. 2. The four characteristic tensors of finite deformation, introduced in the litera ture^[4], ard analyzed and discussed more t...

On the Solution of Elliptic Equation Σa_kΔ^kφ=0 and Its Application in Mechanics

Gai Bing-zheng

1981, 2(4): 445-454.

Abstract(2112) PDF(565)

Abstract:
In this paper, the solution of elliptic equation is discussedin detail by the method of separation of variables in complex field. The general solution which can be used in the approximation to the boundary conditions of the practical problems is presented. Two practical examples in mechanics are giv...

Discussion on “Rectangular Plates with Free Edges on Elastic Foundations”

Fan Ja-shen, Li Ja-you

1981, 2(4): 455-460.

Abstract(1630) PDF(542)

Abstract:
This paper points out the subject mentioned in this work has the demerit that the boundary condition defining no concentrated force which exists at the four corner points was not fulfilled, We put forward the improved method.