A Green's function time-domain boundary element method for the elastodynamic half-plane

✍ Scribed by Christoph Richter; Günther Schmid

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 288 KB
• Volume: 46
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19991020)46:5<627::aid-nme691>3.0.co;2-q

✦ Synopsis

The transient Green's function of the 2-D Lamb's problem for the general case where point source and receiver are situated beneath the traction-free surface is derived. The derivations are based on Laplacetransform methods, utilizing the Cagniard-de Hoop inversion. The Green's function is purely algebraic without any integrals and is presented in a numerically applicable form for the ÿrst time. It is used to develop a Green's function BEM in which surface discretizations on the traction-free boundary can be saved. The time convolution is performed numerically in an abstract complex plane. Hence, the respective integrals are regularized and only a few evaluations of the Green's function are required. This fast procedure has been applied for the ÿrst time. The Green's function BEM developed proved to be very accurate and e cient in comparison with analogue BEMs that employ the fundamental solution.