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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
Cited 2 time in
Web of Science
Cited 2 time in Scopus
- Authors
- Issue Date
- 2005-03-30
- Publisher
- The Korean Fiber Society
- Citation
- Fibers and Polymers, v.6(1), pp.55-65
- Keywords
- Extensible elastica ; Dead tip load ; Crimp ; Recursive form ; Elliptic 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
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