Introduction
Soil Shear–the Phenomenological Model
Soil Shear–the Physical Model (Part 1)
Soil Shear–The Physical Model (Part 2)
Soil Shear–Strain Rate (Viscosity) Effects
Consolidation Compression–The Generalized Model
Strain Rate (Viscosity)
Effects and Secondary Consolidation in One-Dimensional Loading
Finite Element Analysis Using DSSM
Conclusion
Appendices.
References
Paul graduated from a five year undergraduate in Civil
Engineering at Engineering College, University of Madras, Madras,
India in 1983. He then went on to graduate work in soil
mechanics/geotechnical engineering at Purdue University, Indiana
and after that, at the Massachusetts Institute of Technology,
Massachusetts. He finished a Masters in Applied Mathematics at the
University of Massachusetts (Lowell) in 2010, and in Fall 2013,
obtained his Ph.D.Paul is registered Professional Engineer (PE) in
the State of Massachusetts.
"Steady states are ubiquitous in nature and a mathematical
framework (loosely called "dynamical systems theory") exists to
describe systems with a steady state. The Great Red Spot on Jupiter
is an example of a steady state generated by a dynamical system;
mathematicians have extensively studied such dynamical systems. In
1971, Steve Poulos at Harvard first described the steady-state
condition in soils. Based on this I was able to show that soil
shear can be described as a "dynamical system" whose underlying
basis is nothing but Poisson process based simple friction. These
basic findings (steady-state, dynamical systems, Poisson process
based simple friction) mark the advent of a new paradigm for
describing soil deformation that is at once both simple and
powerful. I call this new paradigm Dynamical Systems Soil Mechanics
(DSSM for short). It is the only theory that predicts key
relationships observed in the empirical evidence from decades of
soil tests, relationships which hitherto, have simply been taken as
"given.""
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