首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Axisymmetric transient waves in transversely isotropic half-space
Authors:Morteza Eskandari-Ghadi  Siamak Sattar
Institution:1. Department of Engineering Science, Faculty of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran;2. Department of Civil Engineering, Mazandaran University of Science and Technology, P.O. Box: 734, Babol, Iran
Abstract:A transversely isotropic material in the sense of Green is considered. Using a series of potential functions proposed in Eskandari-Ghadi M. A complete solution of the wave equations for transversely isotropic media. J Elasticity 2005; 81:1–19], the solutions of the transient wave equations within a half-space under surface load are obtained in the Laplace–Hankel domain for axisymmetric problems. The solutions are investigated in detail in the special case of a surface point force pulse varying with time as Heaviside function. Using Cagniard–De Hoop method, the inverse Laplace transform and inverse Hankel transform of the solutions are then obtained in the form of integrals with finite limits. For validity of the analytical results, the final formulations for surface waves are degenerated for an isotropic material and compared with the existing formulation obtained by Pekeris The seismic surface pulse. Proc Natl Acad Sci USA 1955;41:469–80], to show that they are exactly the same. The numerical evaluations of the integrals for some transversely isotropic materials as well as an isotropic one are obtained. The present approach is then numerically verified by comparing a particular case of displacements for the surface of an isotropic half-space subjected to a point load of Heaviside function with the solutions obtained by Pekeris The seismic surface pulse. Proc Natl Acad Sci USA 1955;41:469–80]. In addition, the wave equations for the mentioned medium are obtained on the vertical line directly under the applied surface load. The final formulations are degenerated for an isotropic material and compared with the existing formulation given in Graff Wave motion in elastic solids. New York: Dover Publications Inc; 1975 New Ed edition, November 1991]], to show that they are also exactly the same. Then equations are presented in graphical forms using an appropriate numerical evaluation.
Keywords:Transversely isotropic medium  Time domain  Surface wave  Point force  Potential function  Integral transform
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号