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Elliptic Integral Solutions of the Large Deflection of a Fiber Cantilever with Circular Wavy Crimp

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dc.contributor.authorJUNG, JAE HO-
dc.contributor.authorKANG, TAE JIN-
dc.contributor.authorLEE, KYUNG WOO-
dc.date.accessioned2009-11-17T05:01:56Z-
dc.date.available2009-11-17T05:01:56Z-
dc.date.issued2003-
dc.identifier.citationTextile Res. J. 73(1), 47-54en
dc.identifier.issn0040-5175-
dc.identifier.urihttps://hdl.handle.net/10371/12414-
dc.description.abstractSolutions for the two-dimensional deflection of a crimped fiber cantile ver with circular
wavy crimp are obtained for a one-end clamped boundary under a conc ntrated inclined
load direction. The fiber is regarded as a linear elastic material. and crimp is described as
a combination of semicircular arcs smoothly connected with each other with a constant
curvature of the same magnitude and alternative sign. The inclined load direction is also
taken into account. Consequently, the solutions are expressed as the recursive forms of
elliptic integrals transformed in two different ways. These solutions conta in two different
transformed parameters involved with material and geometric parameters. We validate the
accuracy of our model by comparing it with former results for one-element straight and
semicircular beams, calculate a two-element solution, and obtain the shapes. Our results
have both technical and mathematical significance. They are directly app licable to cable
applications, reinforcing fibers in textile composites, and wavy fabrics or yarns. Our
mathematical techniques also enable us to consider three further research topics-the
multiplicity of solutions, stability evaluations of our model, and ext ensible elastica
problems.
en
dc.language.isoenen
dc.publisherSAGE Publicationsen
dc.titleElliptic Integral Solutions of the Large Deflection of a Fiber Cantilever with Circular Wavy Crimpen
dc.typeArticleen
dc.contributor.AlternativeAuthor정재호-
dc.contributor.AlternativeAuthor강태진-
dc.contributor.AlternativeAuthor이경우-
dc.identifier.doi10.1177/004051750307300109-
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