Dynamic stress concentration around elliptic cavities in saturated poroelastic soil under harmonic plane waves |
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| Institution: | 1. Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, China;2. College of Mathematics and Physics, Jiangsu University, Zhenjiang, Jiangsu 212013, China;1. Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran;2. Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;1. School of Resources and Safety Engineering, Central South University, Changsha 410083, PR China;2. School of Resources and Environmental Engineering, Jiangxi University of Science & Technology, Ganzhou 341000, PR China;3. Rock Mass Modeling and Computational Rock Mechanics Laboratories, The University of Arizona, Tucson 85721, USA;1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China;2. College of Civil Science and Engineering, Yangzhou University, Yangzhou, 225127, China;3. College of Engineering, University of California, Berkeley, 94720, USA;4. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001, China |
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| Abstract: | Potential function and complex function in the elliptic coordinate system are employed to solve the problem of scattering harmonic plane waves by multiple elliptic cavities in water saturated soil medium. The steady state Biot’s dynamic equations of poroelasticity are uncoupled into Helmholtz equations via given potentials. The stresses and pore water pressures are obtained by using complex functions in elliptic coordinates with certain boundary conditions. Finally, the dynamic stresses for the case of two interacting elliptic cavities are obtained and discussed in details via a numerical example. |
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