Non-linear transient analysis of soil domain under variable soil properties with spring-dashpot type local absorbing boundaries

References

• Abbo, A.J., et al., 2011. A C2 continuous approximation to the Mohr-Coulomb yield surface. International Journal of Solid and Structures, 48, 3001–3010. doi:10.1016/j.ijsolstr.2011.06.021
   Web of Science ®Google Scholar
• Abbo, A.J. and Sloan, S.W., 1995. A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion. Computers & Structures, 54 (3), 427–441. doi:10.1016/0045-7949(94)00339-5
   Web of Science ®Google Scholar
• Bathe, K.J., 1996. Finite element procedures. 1st. NJ: Prentice Hall.
   Google Scholar
• Chopra, A.K., 2007. Dynamics of structures: theory and applications to earthquake engineering. 2nd ed. New Delhi: Prentice Hall of India.
   Google Scholar
• Crisfield, M.A., 1991. Nonlinear finite element analysis of solids and structures. Vol. 1. Essentials. New York: Wiley Publication.
   Google Scholar
• Crisfield, M.A., 1997. Nonlinear finite element analysis of solids and structures. Vol. 2. Advanced topics. New York: Wiley Publication.
   Google Scholar
• Davis, R.O. and Selvadurai, A.P.S., 2002. Plasticity and geomechanics. 1st ed. New York: Cambridge University Press.
   Google Scholar
• Deb, D., 2006. Finite element method: concepts and applications in geomechanics. 2nd. New Delhi: Prentice Hall of India.
   Google Scholar
• Deb, D., Das, K.C., and Raja Shekhar, G.P., 2013. Generalized symmetric formulation of tangential stiffness for nonassociative plasticity. Journal of Engineering Mechanics, ASCE, 139(EM2), 105–113. doi:10.1061/(ASCE)EM.1943-7889.0000487
   Google Scholar
• Gens, A., Carol, I., and Alonso, E.E., 1990. A constitutive model for rock joints: formulation and numerical implementation. Computers & Geotechnics, 9, 3–20. doi:10.1016/0266-352X(90)90026-R
   Google Scholar
• Givoli, D., 1991. Non-reflecting boundary conditions. Journal of Computational Physics, 94, 1–29. doi:10.1016/0021-9991(91)90135-8
   Web of Science ®Google Scholar
• Griffith, D.V., 1990. Failure criteria interpretation based on Mohr-Coulamb friction. Journal of Geotechnical Engineering, 116 (6), 986–999. doi:10.1061/(ASCE)0733-9410(1990)116:6(986)
   Google Scholar
• Griffiths, D.V. and Huang, J., 2009. Observations on the extended Matsuoka-Nakai failure criterion. International Journal for Numerical and Analytical Methods in Geomechanics, 33, 1889–1905. doi:10.1002/nag.810
   Web of Science ®Google Scholar
• Kellezi, L., 2000. Local transmitting boundaries for transient elastic analysis. Soil Dynamics and Earthquake Engineering, 19, 533–547. doi:10.1016/S0267-7261(00)00029-4
   Web of Science ®Google Scholar
• Kramer, S.L., 1996. Geotechnical earthquake engineering. 1st ed. Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Lysmer, J. and Kuhlemyer, R.L., 1969. Finite dynamic model of infinite media. Journal of Engineering Mechanics Division. ASCE, 95 (EM4), 859–877.
   Google Scholar
• Mandal, A. and Maity, D., 2016. Study of local non-reflective boundary condition on soil domain. Procedia Engineering, 144, 1252–1259. doi:10.1016/j.proeng.2016.05.112
   Google Scholar
• Meek, J.W. and Wolf, J.P., 1993. Why cone models can represent the elastic half -space. Earthquake Engineering And Structural Dynamics, 22, 759–771. doi:10.1002/eqe.4290220903
   Web of Science ®Google Scholar
• Nayak, G.C. and Zienkiewicz, O.C., 1972. Convenient form of stress invariants for plasticity. Journal of Structural Division, 98 (ST4), 949–954.
   Google Scholar
• Owen, D.R.J. and Hinton, E., 1980. Finite elements in plasticity: theory and practice. Swansea: Pineridge Press.
   Google Scholar
• Simo, J.C. and Hughes, T.J.R., 1998. Computational inelasticity. New York: Springer.
   Google Scholar
• Sloan, S.W. and Booker, J.R., 1986. Removal of singularities in tresca and Mohr-Coulomb yield functions”. Communications in Applied Numerical Methods, 2, 173–179. doi:10.1002/(ISSN)1555-2047
   Google Scholar
• Smith, I.M. and Griffith, D.V., 2004. Programming the finite element method. 4th. England: John Wiley Publication.
   Google Scholar
• White, W., Villaiappan, S., and Lee, I.K., 1977. Unified boundary for finite dynamic models. Journal of Engineering Mechanics Division, ASCE, 103, 949–964.
   Web of Science ®Google Scholar
• Wolf, J.P. and Deeks, A.J., 2004. Foundation vibration analysis: a strength of material approach. 1st. Burlington, MA: Elsevier.
   Google Scholar