Generalized Non-Masing Hysteresis Model for Cyclic Loading
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 1
Abstract
Cyclic behavior of soils is often modeled using the Masing rules. When these rules are applied, hysteretic damping at large strains is overestimated. A non-Masing hysteresis model that reduces the size of hysteresis loops can better capture the damping behavior of soils measured in laboratory testing. A generalized non-Masing hysteresis model is proposed and shown to be compatible with a broad range of constitutive modeling frameworks. The proposed model is implemented in a superposition-type parallel-series distributed element model as well as a continuous and a piecewise linear one-dimensional backbone formulation in addition to a hyperbolic one-dimensional backbone formulation. Bidirectional and unidirectional element-level simulations are conducted. The proposed model is shown to produce non-Masing hysteretic behavior without dependence on the underlying constitutive modeling framework.
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References
Boulanger, R. W., and Ziotopoulou, K. (2012). “PM4Sand (version 2): A sand plasticity model for earthquake engineering applications.”, Univ. of California, Davis, CA.
Chiang, D. Y., and Beck, J. L. (1994). “A new class of distributed-element models for cyclic plasticity. I: Theory and application.” Int. J. Solids Struct., 31(4), 469–484.
Dafalias, Y. F., and Hermann, L. R. (1982). “Bounding surface formulation of soil plasticity.” Soil mechanics-transient and cyclic loads, Vol. 10, Wiley, Chichester, U.K., 253–282.
Dafalias, Y. F., and Manzari, M. T. (2004). “Simple plasticity sand model accounting for fabric change effects.” J. Eng. Mech., 622–634.
Dafalias, Y. F., and Popov, E. P. (1975). “A model for nonlinearly hardening materials for complex loading.” Acta Mech., 21(3), 173–192.
Darendeli, M. B. (2001). “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. thesis, Univ. of Texas at Austin, Austin, TX.
Groholski, D. R., Hashash, Y. M. A., Kim, B., Musgrove, M., Harmon, J., and Stewart, J. P. (2016). “Simplified model for small-strain nonlinearity and strength in 1D seismic site response analysis.” J. Geotech. Geoenviron. Eng., 04016042.
Hashash, Y. M. A., Musgrove, M. I., Harmon, J. A., Groholski, D., Phillips, C. A., and Park, D. (2016). DEEPSOIL version 6.1 user manual, Board of Trustees of Univ. of Illinois at Urbana–Champaign, Urbana, IL.
Iwan, W. D. (1967). “On a class of models for the yielding behavior of continuous and composite systems.” J. Appl. Mech., Trans. ASME, 34(3), 612–617.
Krieg, R. D. (1975). “A practical two-surface plasticity theory.” J. Appl. Mech., 42(3), 641–646.
Kwok, A. O. L., et al. (2007). “Use of exact solutions of wave propagation problems to guide implementation of nonlinear seismic ground response analysis procedures.” J. Geotech. Geoenviron. Eng., 1385–1398.
Masing, G. (1926). “Eignespannungen und Verfestigung beim Messing.” Proc., 2nd Int. Congress on Applied Mechanics, Zurich, Switzerland (in German).
Matasovic, N. (1993). “Seismic response of composite horizontally-layered soil deposits.” Ph.D. thesis, Univ. of California, Los Angeles.
Mroz, Z. (1967). “On the description of anisotropic work hardening.” J. Mech. Phys. Solids, 15(3), 163–175.
Parra, E. (1996). “Numerical modeling of liquefaction and lateral ground deformation including cyclic mobility and dilation response in soil system.” Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, NY.
Phillips, C., and Hashash, Y. M. A. (2009). “Damping formulation for non-linear 1D site response analyses.” Soil Dyn. Earthquake Eng., 29(7), 1143–1158.
Prevost, J. H. (1985). “A simple plasticity theory for frictional cohesionless soils.” Soil Dyn. Earthquake Eng., 4(1), 9–17.
Yang, Z., and Elgamal, A. W. (2000). Numerical modeling of earthquake site response including dilation and liquefaction, Univ. of California, San Diego, La Jolla, CA.
Yee, E., Stewart, J. P., and Tokimatsu, K. (2013). “Elastic and large-strain nonlinear seismic site response from analysis of vertical array recordings.” J. Geotech. Geoenviron. Eng., 1789–1801.
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©2017 American Society of Civil Engineers.
History
Received: Oct 10, 2016
Accepted: Jul 10, 2017
Published online: Nov 2, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 2, 2018
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