Paradox bending behavior of shearable nonlineary elastic rods

Friedemann Schuricht and Bernhard Werner

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Submission date: 21. Mar. 1997
Pages: 20
published in: Journal of elasticity, 56 (1998) 1, p. 27-48 
DOI number (of the published article): 10.1023/A:1007470309208
Bibtex
with the following different title: Paradoxical bending behavior of shearable nonlinearly elastic rods

Abstract:
In nonlinear elasticity the exact geometry of deformation is combined with general constitutive relations. This allows a very sophisticated interaction of deformations in different material directions. Idealizing certain properties of the body we use the Cosserat theory for planar deformations of nonlinearly elastic rods to demonstrate some paradox bending effect caused by a nontrivial interaction of extension, flexure, and shear. The analytical results are visualized by numerical examples.