Helical shear of an elastic, circular tube with a non-convex stored energy
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF00251548.pdf
Reference6 articles.
1. Rivlin, R. S.. Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear, and flexure. Phil. Trans. Roy. Soc. (Lond.) A 242, 173–195 (1949).
2. Ogden, R., P. Chadwick & E. W. Haddon, Combined axial and torsional shear of a tube of incompressible isotropic elastic materials. Quart. J. Mech. and App. Math. 26, 23–41 (1973).
3. Bliss, G. A., Lectures on the Calculus of Variations. University of Chicago Press (1946).
4. Abeyaratne, R. C., Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube. J. of Elast. 11, 43–80 (1981).
5. Meisters, G. H., & C. Olech, Locally one-to-one mappings and a classical theorem on schlicht functions. Duke Math. J. 30, 63–80 (1963).
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