The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension

International Journal of Non-Linear Mechanics

Volumn 39, Issue 4, 2004, Pages 515-537

  Tuzel V H ^a,c   Erbay, H A ^b  

^a ISIK UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Finite amplitude wave propagation; Incompressible; Membrane tubes; Nonlinear elasticity

Indexed keywords

DEFORMATION; DYNAMIC RESPONSE; ELASTICITY; INCOMPRESSIBLE FLOW; WAVE PROPAGATION;

MEMBRANE TUBES;

TUBES (COMPONENTS);

EID: 19244378209     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00220-2     Document Type: Article

References (14)

1. Ogden R.W. Non-linear Elastic Deformations. 1984;Ellis Horwood Limited, Chichester, UK.
2. Jenkins C.H., Leonard J.W. Nonlinear dynamic response of membranes. state of the art ASME Appl. Mech. Rev. 44:1991;319.
3. Haughton D.M. Elastic membranes. Fu Y.B., Ogden R.W. Nonlinear Elasticity: Theory and Applications. 2001;233-267 Cambridge University Press, Cambridge.
4. Erbay H.A., Demiray H. Finite axisymmetric deformations of elastic tubes. an approximate method J. Eng. Math. 29:1995;451.
5. Tait R.J., Zhong J.L. Wave propagation in a non-linear elastic tube. Bull. Tech. Univ. 47:1994;127.
6. Tait R.J., Zhong J.L. Dynamic extension and twist of a non-linear elastic tube. Int. J. Non-Linear Mech. 30:1994;887.
7. Green A.E., Adkins J.E. Large Elastic Deformations. 2nd Edition:1970;Clarendon Press, Oxford.
8. Green A.E., Naghdi P.M., Wainwright W.L. A general theory of Cosserat surface. Arch. Rat. Mech. Anal. 2:1965;287.
9. van Leer B. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J. Comput. Phys. 32:1979;101.
10. Leveque R.J. Numerical Methods for Conservation Laws. 2nd Edition:1992;Birkhauser, Basel.
11. Godlewski E., Raviart P.A. Numerical Approximation of Hyperbolic Systems of Conservation Laws. 1996;Springer, New York.
12. Kröner D. Numerical Schemes for Conservation Laws. 1997;Wiley, West Sussex.
13. Haddow J.B., Jiang L. Finite amplitude azimuthal shear waves in a compressible hyperelastic solid. ASME J. Appl. Mech. 68:2001;145.
14. Fu Y.B., Scott N.H. The transition from acceleration wave to shock wave. Int. J. Eng. Sci. 29:1991;617.