A new series solution method for two-dimensional elastic wave scattering along a canyon in half-space |
| |
| Institution: | 1. Dep. of Civil, Architectural and Environmental Engrg., Federico II Univ., via Claudio 21, 80125 Napoli, Italy;2. Dep. of Engrg., Parthenope Univ., Centro Direzionale di Napoli, Is. C4, 80143 Napoli, Italy;3. Dep. of Biological & Agricultural Engrg. and Zachry Department of Civil Engrg., Texas A&M University, 321 Scoates Hall, 2117 TAMU, College Station, TX 77843-2117, USA;1. Earthquake Engineering Research Centre & Faculty of Civil and Environmental Engineering, School of Engineering and Natural Sciences, University of Iceland, Selfoss, Iceland;2. ECS Mid-Atlantic, LLC, 6710 Oxon Hill Road, Suite 101, National Harbor, MS 20745, USA;3. Department of Civil & Environmental Engineering, Virginia Tech, Blacksburg, VA, USA;4. King Abdullah University of Science and Technology (KAUST), Physical Science and Engineering Division (PSE), Thuwal 23955-6900, Saudi Arabia;1. Department of Neurology, Chang Gung Memorial Hospital-Kaohsiung Medical Center, Chang Gung University College of Medicine, Kaohsiung, Taiwan;2. Department of Information Management, National Sun Yat-sen University, Kaohsiung, Taiwan |
| |
| Abstract: | This paper presents a semi-analytical method for studying the two-dimensional problem of elastic wave scattering by surface irregularities in a half-space. The new method makes use of the member of a c-completeness family of wave functions to construct the scattering fields, and then applies equal but opposite tractions to those of the foregoing constructed scattering fields on the horizontal surface of the half-space to produce additional scattering fields. These additional scattering fields are a series of Lamb's solutions. Thus the whole scattering field constructed in the series automatically satisfies the Navier equations, the condition of zero traction on the half-space surface, and the radiation boundary conditions at infinity. Using the traction-free conditions along the canyon surface, the coefficients of the series solutions are determined via a least-squares method. For incident P, SV, and Rayleigh waves, the numerical results are presented for the scattering displacements in the vicinity of a semi-circular canyon in the half-space. |
| |
| Keywords: | Series solutions Lamb's solution Wave functions Elastic waves Scattering problem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
