References
- Schanz M. Poroelastodynamics: Linear models, analytical solutions, and numerical methods. Applied Mechanics Review. 2009;62.
- Kausel E. Forced vibrations of circular foundations on layered media, Research Report R74-11. Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, c1974.
- Beskos DE. Boundary element methods in dynamic analysis. Applied Mechanics Review. 1987;40:1-23. https://doi.org/10.1115/1.3149529
- Beskos DE. Boundary element methods in dynamic analysis: Part II (1986-1996). Applied Mechanics Review. 1998;50:149-197.
- Astley RJ. Infinite elements for wave propagation: a review of current formulations and an assessment of accuracy. International Journal for Numerical Methods in Engineering. 2000;49:951-976. https://doi.org/10.1002/1097-0207(20001110)49:7<951::AID-NME989>3.0.CO;2-T
- Givoli D. High-order local non-reflecting boundary conditions: a review. Wave Motion. 2004;39:319-326. https://doi.org/10.1016/j.wavemoti.2003.12.004
- Basu U, Chopra AK. Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite-element implementation. Computer Methods in Applied Mechanics in Engineering. 2003;192:1337-1375. https://doi.org/10.1016/S0045-7825(02)00642-4
- Basu U, Chopra AK. Perfectly matched layers for transient elastodynamics of unbounded domains. International Journal for Numerical Methods in Engineering. 2004;59:1039-1074. https://doi.org/10.1002/nme.896
- Lee JH, Kim JK, Kim JH. Nonlinear analysis of soil-structure interaction using perfectly matched discrete layers. Computers and Structures. 2014;142:28-44. https://doi.org/10.1016/j.compstruc.2014.06.002
- Lee JH, Kim JH, Kim JK. Perfectly Matched Discrete Layers for Three-Dimensional Nonlinear Soil-Structure Interaction Analyses. Computers and Structures. 2016;165:34-47. https://doi.org/10.1016/j.compstruc.2015.12.004
- Lee JH. Nonlinear Soil-Structure Interaction Analysis in Poroelastic Soil Using Mid-Point Integrated Finite Elements and Perfectly Matched Discrete Layers. Soil Dynamics and Earthquake Engineering. 2018;108:160-176. https://doi.org/10.1016/j.soildyn.2018.01.043
- Meza-Fajardo KC, Papageorgiou AS. Study of the accuracy of the multiaxial perfectly matched layer for the elastic-wave equation. Bulletin of the Seismological Society of America. 2012;102:2458-2467. https://doi.org/10.1785/0120120061
- Guddati MN, Tassoulas JL. Continued-fraction absorbing boundary conditions for the wave equation. Journal of Computational Acoustics. 2000;8:139-156. https://doi.org/10.1142/S0218396X00000091
- Guddati MN, Lim K-W. Continued fraction absorbing boundary conditions for convex polygon domains. International Journal of Numerical Methods in Engineering. 2006;66:949-977. https://doi.org/10.1002/nme.1574
- Savadatti S, Guddati MN. Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling. Journal of Computational Physics. 2010;229:6644-6662. https://doi.org/10.1016/j.jcp.2010.05.017
- Duru K, Kreiss G. Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides. Wave Motion. 2014;51:445-465. https://doi.org/10.1016/j.wavemoti.2013.11.002
- Baffet D, Bielak J, Givoli D, Hagstrom T, Rabinovich D. Long-time stable high-order absorbing boundary conditions for elastodynamics. Computer Methods in Applied Mechanics and Engineering. 2012;241-244:20-37. https://doi.org/10.1016/j.cma.2012.05.007
- Astaneh AV, Guddati MN. Efficient computation of dispersion curves for multilayered waveguides and half-spaces. Computer Methods in Applied Mechanics and Engineering. 2016; 200: 27-46.
- Biot MA. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. Journal of Acoustical Society of America. 1956;28:168-178. https://doi.org/10.1121/1.1908239
- Zienkiewicz OC, Chan AHC, Pastor M, Schrefler BA, Shiomi T. Computational Geomechanics with Special Reference to Earthquake Engineering. Wiley. c1999.
- Lewis RW, Schrefler BA. The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media. Wiley. c1998.
- Lysmer J, Kuhlemeyer RL. Finite dynamic model for infinite media. ASCE. Journal of the Engineering Mechanics Division. 1969;95:859-877.
- Guddati M, Savadatti S. Efficient and accurate domain-truncation techniques for seismic soil-structure interaction. Earthquakes and Structures. 2012; 3: 563-580. https://doi.org/10.12989/eas.2012.3.3_4.563
- Lee JH, Tassoulas JL. Root-Finding Absorbing Boundary Conditions for Problems of Wave Propagation in Infinite Media. Computer Methods in Applied Mechanics and Engineering. c2018.
- Rabinovich D, Givoli D, Bielak J, Hagstrom T, The Double Absorbing Boundary method for a class of anisotropic elastic media. Computer Methods in Applied Mechanics and Engineering. 2017; 315:190-221. https://doi.org/10.1016/j.cma.2016.10.035
- Westergaard HM. Water Pressures on Dams during Earthquakes. Transaction ASCE. 1933;98:418-433.
- Savadatti S, Guddati MN. A finite element alternative to infinite elements. Computer Methods in Applied Mechanics and Engineering. 2010;199:2204-2223. https://doi.org/10.1016/j.cma.2010.03.018
- Chen W-F. Constitutive Equations for Engineering Materials, Volume 2: Plasticity and Modeling. Elsevier. c1994.