Effects of pre-stress on impact waves in an incompressible elastic plate

Citation
Ha. Erbay et al., Effects of pre-stress on impact waves in an incompressible elastic plate, Q J MECH AP, 53, 2000, pp. 531-550
Citations number
18
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
ISSN journal
0033-5614 → ACNP
Volume
53
Year of publication
2000
Part
4
Pages
531 - 550
Database
ISI
SICI code
0033-5614(200011)53:<531:EOPOIW>2.0.ZU;2-E
Abstract
We study the effects of pre-stress on the propagation of impact waves resul ting from a sudden line load applied on the surface of an infinite isotropi c incompressible elastic plate placed on a smooth rigid foundation. The pre -stress is assumed to be a uni-axial compression or an all-round pressure ( tension). Our interest is in the behaviour of the impact waves when the pre stress approaches any of the critical values for buckling instability. The problem is solved using Laplace and Fourier transforms. The Laplace inversi on is carried out analytically and the Fourier inversion is evaluated both numerically and with the aid of the method of stationary phase.