Mathematical Model of a Junction between Linear Elastomer and Thin Plate

Nie Yufeng; Nie Tiejun; Feng Jianhu

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Nie Yufeng, Nie Tiejun, Feng Jianhu. Mathematical Model of a Junction between Linear Elastomer and Thin Plate[J]. Applied Mathematics and Mechanics, 1996, 17(3): 259-264.

Citation:

Nie Yufeng, Nie Tiejun, Feng Jianhu. Mathematical Model of a Junction between Linear Elastomer and Thin Plate[J]. Applied Mathematics and Mechanics, 1996, 17(3): 259-264.

Citation:

Nie Yufeng, Nie Tiejun, Feng Jianhu. Mathematical Model of a Junction between Linear Elastomer and Thin Plate[J]. Applied Mathematics and Mechanics, 1996, 17(3): 259-264.

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Mathematical Model of a Junction between Linear Elastomer and Thin Plate

Department of Applied Mathematics Northwestern, Polytechnical University, Xi'an 710072, P. R. China

Received Date: 1995-02-10
Publish Date: 1996-03-15

Abstract

Abstract

In this paper,a kind ofjunction problem between linear elastomer elastomer and thin plateis changed.through a well scaling.into an equivalent problem which is studied easily.Then,using an idea of disturbance we have studied the convergence of the displacement vector.field under the action of body.force,which is depending on the thickness of the plate.At last,the variational equations of the limit are obtained.
- junction,
- scaling,
- junction condition,
- convergence

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References(6)

References

[1]	P.G.Ciarlet.H.Le.Dret & R.Nzengwa,Junctions between Three-Dimensional and Two-Dimensional Linearly Elastic Structures,ESCP on MPNM(report Series No.3)(1988)
[2]	R.A.Adams.Soboler Space,Academic Press,New York(1975).
[3]	G.Duvant & J.L.Lions,Les Inequations en Mecanique et en Physique Dunod,Paris(1972).
[4]	冯康、石钟慈,《弹性结构的数学理论争,科学出版社(第二版)(1981).
[5]	P.G.Ciarlet & P.Destuyder.A justification of the two-dimensional linear plate model,Journal de Mecanique.18(2)(1979),315-344.
[6]	P.G.Ciarlet,Mathematical Elasticity,Vol.I:Three-Dimensional Elasticity,North-Holland P.C.,Amsterdam(1988).