Shame to see "strain properties" mentioned in the 70's, but not widely adopted even in 2016. Forty years of coherent scientific proof and the construction standards still lag behind... I suppose it's only appropriate for a geotechnical methodology to evolve at the speed of tectonic plates. We observe the things described by Dobry while testing wind turbine foundations. Our cyclic loads are much slower and deformations bigger but it's still sand. Thus, physical behaviour should (and does) overlap quite substantially. Stiffness and strength evolve as two independent variables during loading. Only strength (friction angle) is proportional to absolute density, whereas stiffness - does not have a unique value at any density. Infinite different stiffnesses can be found at one density. Liquefaction itself is a process, where sand of constant density (undrained) transitions through many different stiffnesses... its mind boggling, how standards fail to notice the obvious.
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