微极连续体力学比经典连续体力学更深入一层次

陆章基

微极连续体力学比经典连续体力学更深入一层次

陆章基

汕头大学数学系

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- 文章访问数: 1969
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- 被引次数: 0
出版历程
- 收稿日期: 1986-09-05
- 刊出日期: 1987-10-15

Micropolar Continuum Mechanics is More Profound than Classical Continuum Mechanics

Lu Zhang-ji

Shantou University, Shantou; Fudan University, Shanghai

摘要

摘要: 本文通过刚删架(动静态响应与屈曲)的微极梁板模型,血液的牛顿-微极分层流模型以及人骨微极特性的实验论证等阐明微极连续体理论的本质特点,从应用侧面阐述微极连续体力学比经典连续体力学更深一层次的观点,并介绍该理论及其近期应用的部分进展情况。

Abstract: This paper expounds the characteristic features of the micropolar continuum theory by developing micropolar continuum models for the static, dynamic and buckling analysis of beam-like or plate-like lattices with rigid joints, by analysing the Newton-micropolar stratified fluid model for blood and by producing experimental proofs demonstrating the micropolar property for human compact bone. In particular, it explains from the point of view of application that the micropolar continuum mechanics is a theory more profound than classical continuum mechanics. Presented in this paper is also a description of some recent advances in applications.

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参考文献(24)

[1]	Eringen, A.C., Theory of micropolar elasticity, Chap. 7 of Fracture (ed. Liebowitz. H.), V. 2(1968), 621-729.
[2]	Eringen, A.C., Theory of micropolar fluids, J. Math. Mech., 16 (1966), 1-18.
[3]	Stokes, V.K., Couple stresses in fluids, Phy. Fluids, 19 (1966), 1709-1716.
[4]	Kang, C.K. and A.C. Eringen, The effect of microstructure on the rheological properties of blood, Bull. Math. Biol., 38 (1976), 135-159.
[5]	Noor, A.K. and M.P. Nemeth, Micropolar beam models for lattice grids with rigid joints.Comp. Meth. Appl. Mech. Eng., 21 (1980), 249-263.
[6]	Noor, A.K. and M.P. Nemeth, Analysis of spatial beamlike lattices with rigid joints. Comp.Meth.Appl. Mech. Eng.,24 (1980), 35-59.
[7]	Bazant, Z.P. and M. Christensen. Analogy between micropolar continuum and grid frameworks under initial stress, Int.J.Solids Stru.,8(1972),327-346.
[8]	Kanatani,K.I.,A micropolar continuum model for vibrating gird frameworks. Int.J. Engng.Sci.,17(1979),409-418.
[9]	Chaturani, P. and V.S. Upadhya, On micropolar fluid model for blood flow through narrow tubes, Biorheology, 16 (1979),419-428.
[10]	Brunn,P.,The velocity slip of polar fluids, Rheol.Acta. 14 (1975). 1039-1054.
[11]	裘祖干,陆章基,微极流体润滑在径向轴承中的应用,应用数学和力学,8,7(1987),623-632.
[12]	Lu Zhang-ji(陆章基), The micropolar two-fluid model and pulastile blood flow through fine tube.Proceedings of the International Conference on Nonlinear Mechanics, Shanghai (1985).757-761.
[13]	陆章基,微极流体通过带有狭窄的圆管的流动分析及外围层效应,《第一届全国流变学会议论文集》(1955).
[14]	陆章基,溶质在作圆管层流的微极流体中的分散,大自然探索,5,2
[15]	(1986),43-48.
[16]	Tandon,P.N.,J.K.Misra and K.K.Srivastava,Microstructural and peripheral-layer viscosity effects on peristaltic transport of seminal fluid,Biorheology,19(1982),707-715.
[17]	Yang.J.F.C.and R.S.Lakes.Experimental study of micropolar and couple stress elasticity in compact bone in bending,J.Biomech.,15(1982) 91-98.
[18]	Yoon.H.S.and J.L.Katz.Is bone a Cosserat solid?J.Mater.Sci.,18(1983),1297-1305.
[19]	Kolpashchikov,V.L.,N.P.Migun and P.P.Prokhorenko,Experimental determination of material micropolar fluids constants,Int.J.Engng.Sci.,21(1983),405-411.
[20]	Ariman.T.,M.A.Turk and N.D.Sylvester.Microcontinuum fluid mechanics-a review,Int.J.Engng.Sci.,11(1973),905-930.
[21]	Ariman,T.,M.A:Turk and N.D.Sylvester,Applications of microcontinuum fluid mechanics,Int.J.Engng.Sci.,12(1974),273-294.
[22]	爱林根等,《极性场论》(连续统物理学丛书),戴天民译,江苏科学技术出版社(1981).
[23]	陆章基,微极流体理论应用的近期进展—生物力学和液体润滑方面,《第一届全国流变学会议论文集》(1955).
[24]	爱林根,《非局部极性场论》(连续统物理学丛书),戴天民译,江苏科学技术出版社(1981).