On barrelling for a special material in finite elasticity
Authors:
Henry C. Simpson and Scott J. Spector
Journal:
Quart. Appl. Math. 42 (1984), 99-111
MSC:
Primary 73G05
DOI:
https://doi.org/10.1090/qam/736510
MathSciNet review:
736510
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Additional Information
M. F. Beatty and P. Dadrus, Some experiments on the elastic stability of highly elastic bodies, Int. J. Eng. Sci. 14, 233–238 (1976)
M. F. Beatty and D. E. Hook, Some experiments in the stability of circular rubber bars under end thrust, Int. J. Solids Structures 4, 623–635 (1968)
P. J. Blatz and W. L. Ko, Application of finite elasticity theory to the deformation of rubbery materials, Trans. Soc. Rheology 6, 223–251 (1962)
P. Bridgman, The compression of sixty-one solid substances to 25,000 kg/cm$^{2}$, determined by a new rapid method, Proc. Am. Acad. Arts Sci. 76, 9–24 (1945)
I. W. Burgess and M. Levinson, The instability of slightly compressible rectangular solids under biaxial loadings, Int. J. Solids Struc. 8, 133–148 (1972)
- E. T. Copson, Asymptotic expansions, Cambridge Tracts in Mathematics and Mathematical Physics, No. 55, Cambridge University Press, New York, 1965. MR 0168979
K. N. Sawyers and R. S. Rivlin, Stability of a thick elastic plate under thrust, J. Elasticity 12, 101–125 (1982)
- David Emil Carlson and R. T. Shield (eds.), Proceedings of the IUTAM Symposium on Finite Elasticity, Martinus Nijhoff Publishers, The Hague, 1982. Held at Lehigh University, Bethlehem, Pa., August 10–15, 1980. MR 676658
- Henry C. Simpson and Scott J. Spector, On barrelling instabilities in finite elasticity, J. Elasticity 14 (1984), no. 2, 103–125. MR 747056, DOI https://doi.org/10.1007/BF00041660
---, Some monotonicity results for ratios of modified Bessel functions, Quart. Appl. Math. This issue
- E. W. Wilkes, On the stability of a circular tube under end thrust, Quart. J. Mech. Appl. Math. 8 (1955), 88–100. MR 70415, DOI https://doi.org/10.1093/qjmam/8.1.88
M. F. Beatty and P. Dadrus, Some experiments on the elastic stability of highly elastic bodies, Int. J. Eng. Sci. 14, 233–238 (1976)
M. F. Beatty and D. E. Hook, Some experiments in the stability of circular rubber bars under end thrust, Int. J. Solids Structures 4, 623–635 (1968)
P. J. Blatz and W. L. Ko, Application of finite elasticity theory to the deformation of rubbery materials, Trans. Soc. Rheology 6, 223–251 (1962)
P. Bridgman, The compression of sixty-one solid substances to 25,000 kg/cm$^{2}$, determined by a new rapid method, Proc. Am. Acad. Arts Sci. 76, 9–24 (1945)
I. W. Burgess and M. Levinson, The instability of slightly compressible rectangular solids under biaxial loadings, Int. J. Solids Struc. 8, 133–148 (1972)
E. T. Copson, Asymptotic expansions, Cambridge Univ. Press, Cambrige (1965)
K. N. Sawyers and R. S. Rivlin, Stability of a thick elastic plate under thrust, J. Elasticity 12, 101–125 (1982)
K. N. Sawyers, Stability of a thick neo-Hookean plate, Proc. IUTAM Sym. Finite Elasticity (D. E. Carlson and R. T. Shield, eds.), Martinus Nijhoff, Boston (1982)
H. C. Simpson and S. J. Spector, On barrelling instabilities in finite elasticity, J. Elasticity. In press
---, Some monotonicity results for ratios of modified Bessel functions, Quart. Appl. Math. This issue
E. W. Wilkes, On the stability of a circular tube under end thrust, Quart. J. Mech. Appl. Math., 8, 88–100 (1955)
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Article copyright:
© Copyright 1984
American Mathematical Society
