Some remarks concerning a boundary-value problem in nonlinear elastostatics

Journal of Elasticity

Volumn 60, Issue 2, 2000, Pages 165-172

  Aron, M ^a  

^a UNIVERSITY OF PLYMOUTH   (United Kingdom)

Author keywords

Finite elastic deformations; Nonlinear elastostatics

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; MATHEMATICAL MODELS;

ELASTOSTATICS;

ELASTICITY;

EID: 0034996263     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011083214837     Document Type: Article

References (15)

1. J.L. Ericksen, Deformations possible in every compressible, isotropic, perfectly elastic material. J. Math. Phys. 34 (1955) 126-128.
2. M.M. Carroll, Finite strain solutions in compressible isotropic elasticity. J. Elasticity 20 (1988) 65-92.
3. M. Aron, C. Christopher and Y. Wang, On the straightening of compressible, nonlinearly elastic, annular cylindrical sectors. Math. Mech. Solids 3 (1998) 131-145.
4. M.M. Carroll and C.O. Horgan, Finite strain solutions for a compressible elastic solid. Quart. Appl. Math. 48 (1990) 767-780.
5. Y. Chen and D.M. Haughton, Existence of exact solutions for the eversion of elastic cylinders. J. Elasticity 49 (1997) 79-88.
6. C. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics, Handbuch der Physik, III/3. Springer, Berlin (1965).
7. S.S. Antman, Nonlinear Problems of Elasticity. Springer, New York (1995).
8. N. Owen, Existence and stability of necking deformations for nonlinearly elastic rods. Arch. Rational Mech. Anal. 98 (1987) 357-383.
9. D.M. Haughton, Inflation and bifurcation of thick-walled compressible elastic spherical shells. IMA J. Appl. Math. 39 (1987) 259-272.
10. F. John, Plane elastic waves of finite amplitude, Hadamard materials and harmonic materials. Comm. Pure Appl. Math. 19 (1966) 309-341.
11. M. Silhavy, The Mechanics and Thermomechanics of Continuous Media. Springer, New York (1997).
12. R.W. Ogden, Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Proc. Roy. Soc. London Ser. A 328 (1972) 567-583.
13. P.J. Blatz, Application of large deformation theory to the thermo-mechanical behaviour of rubberlike polymers-porous, unfilled, and filled. In: F.R. Eirich (ed.), Rheology, Theory and Applications, Vol. 5, Academic Press, New York (1969) pp. 1-55.
14. D.M. Haughton and A. Orr, On the eversion of compressible elastic cylinders. Internat. J. Solids Struct. 34 (1997) 1893-1914.
15. A. Krawietz, A comprehensive constitutive inequality in finite elastic strain. Arch. Rational Mech. Anal. 58 (1975) 127-149.