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.
Keywords
- Yield Surface
- Dislocation Core
- Linear Partial Differential Equation
- Nonlinear Filtration
- Unyielded Region
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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.
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© 1995 Springer Science+Business Media Dordrecht
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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
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DOI: https://doi.org/10.1007/978-94-015-8494-4_15
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