ANALYSIS OF ELASTIC LAYERS WITH DILATIVE EIGENSTRAINS VARYING THROUGH THE THICKNESS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 997-1008.

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ANALYSIS OF ELASTIC LAYERS WITH DILATIVE EIGENSTRAINS VARYING THROUGH THE THICKNESS

HE Ling-hui¹, LIM Chee-wah², LIU Ren-huai ³

1. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, P. R. China;
2. Department of Building and Construction, City University of Hong Kong, Hong Kong, P. R. China;
3. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P. R. China

Received:2002-02-04 Revised:2003-04-22 Online:2003-09-18 Published:2003-09-18
Supported by:
the National Natural Science Foundation of China (10272069);the Shanghai Key Subject Program

Abstract

Abstract: Elastic layers with varying dilative eigenstrains through the thickness were concerned. A general procedure was proposed for the analysis of such layers under arbitrary loads. The study is based on the state-space method and an asymptotic expansion technique. When the external loads are uniform, the expansion terminates after some leading terms, and an explicit representation for the mechanical field in a layer is obtained. This representation relies only on the displacement components of the mid-plane, which are governed by a set of two-dimensional differential equations similar to those in the classical plate theory. Consequently, obtaining the solution to the two-dimensional equations immediately gives the three-dimensional responses of the layer. As an illustrative example, a clamped elliptical layer under a uniformly distributed transverse load is analyzed in detail.

2010 MSC Number:

O781
74B20

HE Ling-hui;LIM Chee-wah;LIU Ren-huai . ANALYSIS OF ELASTIC LAYERS WITH DILATIVE EIGENSTRAINS VARYING THROUGH THE THICKNESS. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 997-1008.

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ANALYSIS OF ELASTIC LAYERS WITH DILATIVE EIGENSTRAINS VARYING THROUGH THE THICKNESS

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