PM4Sand (Boulanger & Ziotopoulou)
The models PM4Sand and PM4Silt were developed for geotechnical earthquake engineering applications by Professors Ross W. Boulanger and Katerina Ziotopoulou at the University of California at Davis. PM4Sand is a stress-ratio controlled, critical state compatible, bounding surface plasticity model for sand (and other purely nonplastic granular soils). The PM4Silt plasticity model, which builds on the framework of the PM4Sand model, was developed for representing low-plasticity silts and clays. Model development emphasized approximating a range of undrained monotonic and cyclic loading responses of saturated low-plasticity silts and clays that exhibit stress-history normalized behaviours, as opposed to the responses of purely nonplastic silts and sands described by PM4Sand.
- Ziotopoulou , K., and Boulanger, R. W. (2016). “Plasticity modeling of liquefaction effects under sloping ground and irregular cyclic loading conditions.” Soil Dynamics and Earthquake Engineering, 84 (2016), 269-283, 10.1016/j.soildyn.2016.02.013.
- Ziotopoulou, K., and Boulanger, R. W. (2013). “Calibration and implementation of a sand plasticity plane-strain model for earthquake engineering applications.” Journal of Soil Dynamics and Earthquake Engineering, 53, 268-280, 10.1016/j.soildyn.2013.07.009.
- Boulanger, R. W., and Ziotopoulou, K. (2013). “Formulation of a sand plasticity plane-strain model for earthquake engineering applications.” Journal of Soil Dynamics and Earthquake Engineering, Elsevier, 53, 254-267, 10.1016/j.soildyn.2013.07.006.
Is PM4Sand Model also available in Abacus, like Flac or Plaxis??
If you are seeking the PM4Sand model for 2D applications you can go with OpenSees software. OpenSees is free, open-source and devoted to be used for Earthquake Geotechnical Engineering applications.
You can find the latest OpenSees version that include PM4Sand and PM4Silt and many different constitutive models here on this link (http://opensees.berkeley.edu/OpenSees/code/OpenSees3.0.3-x64.exe.zip).
Also you will need to install the Tcl libraries as a prerequisite required by OpenSees for running under Windows OS, download it from this link (http://downloads.activestate.com/ActiveTcl/releases/22.214.171.124/ActiveTcl-126.96.36.19909.2-MSWin32-x64.exe).
If you are looking for a GUI interface for OpenSees you can use GiD software and the GiD+OpenSees plugin and you can get it from this link (http://gidopensees.rclab.civil.auth.gr/) but you need to get GiD software before installing this plugin.