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Extensible Elastica Solutions on the Large Deflection of Fiber Cantilever with Circular Wavy Crimp(I) : Derivation of Models and Their Solutions

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Authors
Jung, Jae Ho; Kang, Tae Jin
Issue Date
2005-03-30
Publisher
The Korean Fiber Society
Citation
Fibers and Polymers, v.6(1), pp.55-65
Keywords
Extensible elasticaDead tip loadCrimpRecursive formElliptic integrals
Abstract
Extensible elastica solutions of two-dimensional deflection of crimped fiber cantilever of circular wavy crimp were
obtained for one end clamped boundary under concentrated, inclined and dead tip load Fiber was also regarded as a linear
elastic material. Crimp was described as a combination of semicircular arcs smoothly connected with each other having constant
curvature of all the same magnitude and alternative sign. Also the inclined load direction was taken into account. The
solutions were expressed as the recursive forms of integrals in two different cases, which can also be transformed to elliptic
integrals respectively. Comparing the data with inextensible ones was carried out. Consequently in the solution, the normal
strain of neutral axis is expressed in terms of cross-sectional area, second moment of area and normalized load parameter.
Examples of the circular cross-sectioned fiber are presented. As a result, the differences of normalized load between inextensible and extensible elastica solutions when the radius ratio becomes 0.1 were maximum Λ = 0.1.
ISSN
1229-9197
Language
English
URI
http://hdl.handle.net/10371/19160
DOI
https://doi.org/10.1007/BF02875574
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Material Science and Engineering (재료공학부) Journal Papers (저널논문_재료공학부)
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