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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 645Appropriate Boundary Conditions for Nonlocal...

Appropriate Boundary Conditions for Nonlocal Elastic Beams

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Abstract:

This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity th eory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-d ata, other than the pure displacement one, for the existence of a decaying solution are formulated. A novel method in constructing the auxiliary regular state is also demonstrated, which is different fr om that we used before. Finally, the appropriate boundary conditions for the interior solution are obtained, which are not altered by the nonlocal parameter and take the form as these for their local elastic counterparts.

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Periodical:

Advanced Materials Research (Volume 645)

Pages:

396-404

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.645.396

Citation:

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Online since:

January 2013

Authors:

S.P. Xu, M.R. Xu, C.M. Wang

Keywords:

Asymptotic Expansion Method, Boundary Condition, Decaying Analysis Technique, General Solution, Nonlocal Elastic Beam, Regular State

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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