Abstract
In Craster [1] it is shown that a class of Herschel-Bulkley flow problems can be solved exactly in a hodograph plane. The results are deduced using hypergeometric integral transforms, this is an extension of the asymptotic approach of El-Ali and Atkinson [2], and of related work by Entov [3] in nonlinear filtration. The Herschel-Bulkley flow problems are also analogous to nonlinear elastic deformations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.V. Craster, to appear in Quart.J. Mech. appl. Math.
K. El-Ali and C. Atkinson, IMA J. Appl. Math 51 (1993) 169–186.
V.M. Entov, Prik. Math. Mekh. 34 (1970) 162–171.
C.R. Champion, Quart.J. Mech. appl. Math. 46 (1993) 627–642.
H. Neuber, J. Appl. Mech 28 (1961) 544–550.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Craster, R.V. (1995). A Dislocation Solution for a Nonlinear Material with a Yield Stress. In: Parker, D.F., England, A.H. (eds) IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics. Solid Mechanics and Its Applications, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8494-4_15
Download citation
DOI: https://doi.org/10.1007/978-94-015-8494-4_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4589-8
Online ISBN: 978-94-015-8494-4
eBook Packages: Springer Book Archive