Remarks on the Instability of an Incompressible and Isotropic Hyperelastic, Thick-Walled Cylindrical Tube
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Elasticity and Material Modeling · Elasticity and Wave Propagation · Advanced Numerical Methods in Computational Mathematics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (13)
Show source-provided references
1. E.W. Wilkes, On the stability of a circular tube under end thrust, Quarterly Journal of Mechanics and Applied Mathematics 8 (1955) 89–100.10.1093/qjmam/8.1.88 ↗
2. F. Pan and M.F. Beatty, Instability of a Bell constrained cylindrical tube under end thrust. Part1: Theoretical development, Mathematics and Mechanics of Solids 2 (1997) 243–273. Part2: Examples, thin tube analysis (to appear).10.1177/108128659700200301 ↗
3. M.A. Biot, Mechanics of Incremental Deformations, John Wiley, New York (1965).
4. A.D. Kerr and S. Tang, The instability of a rectangular elastic solid, Acta Mechanica 4 (1967) 43–63.10.1007/BF01291087 ↗
5. J.L. Nowinski, On the elastic stability of thick columns, Acta Mechanica 7 (1969) 279–286.10.1007/BF01377530 ↗
6. J.L. Nowinski, Surface instability of a half-space under high two-dimensional compression, Journal of Franklin Institute 288 (1969) 367–376.10.1016/0016-0032(69)90017-9 ↗
7. M.F. Beatty, Instability of a fiber-reinforced thick slab under axial loading, International Journal of Non-Linear Mechanics 25 (1990) 343–362.10.1016/0020-7462(90)90024-4 ↗
8. M.F. Beatty and F. Pan, Instability of a Bell constrained slab, International Journal of Non-Linear Mechanics (to appear).
9. M.F. Beatty, Topics in finite elasticity: Hyperelasticity of rubber, elastomers, and biological tissues with examples, Applied Mechanics Reviews 40 Part 1, 1699–1734 (1987). See also ‘Introduction to nonlinear elasticity’, Nonlinear Effects in Fluids and Solids, eds. M.M. Carroll and M.A. Hayes, Plenum Press, New York, 13–112 (1996).10.1115/1.3149545 ↗
10. M.F. Beatty and F. Pan, On determinants having complex conjugate columns or rows, Journal of Elasticity 47 (1997) 69–72.10.1023/A:1007405421507 ↗
11. A.E. Green, R.S. Rivlin and R.T. Shield, General theory of small elastic deformations superposed on finite elastic deformations, Proceedings of the Royal Society, Series A, 211 (1952) 128–154.
12. N.W. McLachlan, Bessel Functions for Engineers, Clarendon Press, Oxford (1953).
13. F.E. Relton, Applied Bessel Functions, Blackie and Son Limited, London and Glasgow (1946).