Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 48, Issue 10, Pages 1413-1423Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2011.01.021
Keywords
Wire strand; Interwire contact problem; Asymptotic model
Categories
Funding
- Basque Foundation for Science
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The refined discrete mathematical model of a simple helical wire rope strand is developed. The effect of the transverse contraction of the wire strand through Poisson's ratio and also through local contact deformations (wire flattening) has been studied in detail. In order to express the interwire contact deformation in terms of the parameters describing the strand deformation, we formulate a two-dimensional model interwire contact problem. The interwire contact interaction is treated as a frictionless unilateral plain strain problem. The nonlinear model interwire contact problem has been solved by the method of matched asymptotic expansions. The constitutive equations for a helical wire rope strand, which take into account both the Poisson's ratio effect and the effect of contact deformation, are obtained in a closed form. (C) 2011 Elsevier Ltd. All rights reserved.
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