LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Ogden, RW; Fu, YB (1996)
Publisher: International Centre for Numerical Methods in Engineering
Languages: English
Types: Part of book or chapter of book
Subjects: QA75
In this paper the nonlinear evolution of near-neutral modes in a pre-stressed elastic half-space governed by an infinite system of evolution equations is discussed. The theory is illustrated for the case in which the pre-stress is a uniaxial compression and the perturbation consists initially of a single mode. It is shown that excitation of harmonics due to nonlinear interaction always leads to the formation of shocks, whether the elastic half-space is super-critically or sub-critically near-neutral and that when the half-space is super-critically near-neutral shocks always form before any significant growth in amplitude has taken place. In considering the static specialization of the evolution equations, two existing methods are assessed critically and shown to be flawed.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] R.W. Ogden, Non-linear elastic deformations, Ellis Horwood, Chichester (1984).
    • [2] C.H. Wu and G.Z. Cao, Buckling problems in finite plane elasticity-harmonic materials, Q. Appl. Math., 41 (1984) 461-474.
    • [3] M.A. Dowaikh and R.W. Ogden, On surface waves and deformations in a prestressed incompressible elastic solid, IMA J. Appl. Math., 44 (1990) 261-284.
    • [4] M.A. Dowaikh and R.W. Ogden, On surface waves and deformations in a compressible elastic half-space, Stability Appl. Anal. Continuous Media, 1 (1991) 27-45.
    • [5] Y.B. Fu and G.A. Rogerson, A nonlinear analysis of instability of a pre-stressed incompressible elastic plate, Proc. R. Soc. Lond., A446 (1994) 233-254.
    • [6] Y.B. Fu, On the instability of inextensible elastic bodies: nonlinear evolution of non-neutral, neutral and near-neutral modes, Proc. R. Soc. Lond., A443 (1993) 59-82.
    • [7] Y.B. Fu, A nonlinear analysis of instability of pre-stressed inextensible elastic bodies, in Proc. IUTAM Symposium on Nonlinear Waves in Solids, (eds J.E. Wegner and F.R. Norwood), pp. 83-88, ASME, New Jersey (1995).
    • [8] D.F. Parker and F.M. Talbot, Analysis and computation for nonlinear elastic surface waves of permanent form, J. Elasticity, 15 (1985) 389-426.
    • [9] M.F. Hamilton, Y.A. II'insky, and E.A. Zabolotskaya, On the existence of stationary nonlinear Rayleigh waves, J. Acoust. Soc. Am., 93 (1993) 3089-3095.
    • [10] Y.B. Fu and B. Devenish, Effects of pre-stresses on the propagation of nonlinear surface waves in an incompressible elastic half-space, Q. J. Mech. Appl. Math., 49 (1996) 65-80.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article