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On the Diffusion of an Axial Load from an Infinite Cylindrical Bar Embedded in an Elastic Medium

Muki, Rokuro and Sternberg, Eli (1969) On the Diffusion of an Axial Load from an Infinite Cylindrical Bar Embedded in an Elastic Medium. International Journal of Solids and Structures, 5 (6). pp. 587-605. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20151113-161505275

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Abstract

his investigation is concerned with the decay of the resultant axial force in an infinite cylindrical elastic bar that is completely bonded to an all around infinite elastic medium of distinct mechanical properties. The bar is subjected to an axial loading confined to, and uniformly distributed over, one of its cross-sections. First, a solution to this problem, exact within classical three-dimensional elastostatics, is obtained for the special case of a circular cylindrical bar. Next, an approximative solution scheme applicable to a cross-section of arbitrary shape is developed. This scheme is subsequently used to deduce an approximate solution for the bar of circular cross-section. The exact and the approximate solution appropriate to the circular bar are compared with each other, particular attention being given to their asymptotic behavior near the load and at large distances from the applied loading. The present work is preliminary to an approximate treatment of the physically more important problem pertaining to The diffusion of load from a transverse tension-bar that is immersed to a finite depth in an elastic halfspace. In addition, the results established here are of interest in connection with the study of fiber-reinforced materials.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0020-7683(69)90030-4DOIArticle
http://www.sciencedirect.com/science/article/pii/0020768369900304PublisherArticle
Additional Information:© 1969 Pergamon Press. Received 4 October 1968. The results communicated in this paper were obtained in the course of an investigation conducted under Contract Nonr-220(58) with the Office of Naval Research in Washington, D.C.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)Nonr-220(58)
Issue or Number:6
Record Number:CaltechAUTHORS:20151113-161505275
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151113-161505275
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62105
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:18 Nov 2015 19:53
Last Modified:03 Oct 2019 09:15

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