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Some remarks on Saint‐Venant's principle

 

作者: H. A. Levine,   R. Quintanilla,   L. E. Payne,  

 

期刊: Mathematical Methods in the Applied Sciences  （WILEY Available online 1989）
卷期: Volume 11, issue 1  

页码: 71-77

 

ISSN:0170-4214

 

年代: 1989

 

DOI:10.1002/mma.1670110105

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractWe consider a three‐dimensional hyperelastic cylinder in Ω =D× [0, ∞]. We study the asymptotic behaviour of the deformations of the cross‐sections in an equilibrium state. In this case we show that the solutions either have exponential decay or exponential growth. We give some initial conditions such that the latter case

 

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