Constitutive Modeling of Geomaterials






CONSTITUTIVE

MODELING OF

GEOMATERIALS

PRINCIPLES AND APPLICATIONS

TERUO NAKAI

A SPON PRESS BOOK



Preface
When I was a student (almost 40 years ago), my supervisor, Sakuro

Murayama, often told us that the most important challenge in the field of

soil mechanics was to establish the stress–strain–time–temperature relation

of soils. Since the beginning of his academic career, he had pursued

research on a constitutive model for soils, and he summarized his experience in a thick book of almost 800 pages (Murayama 1990) when he was

almost 80 years old. In his book, the elastoplasticity theory was not used

in

a straightforward manner, but he discussed soil behavior, focusing his

attention not on the plane where shear stress is maximized, called the τ


plane or 45° plane, but rather on the plane where the shear–normal stress

ratio is maximized, called the (τ/σ)

plane or mobilized plane, because the

soil behavior is essentially governed by a frictional law.

max


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