Abstract
ABSTRACT The Spatially Mobilized Plane (SMP) for frictional materials is extended to a plane for frictional and cohesive materials, which is named “Extended Spatially Mobilized Plane (Extended SMP)”, by introducing a parameter of “bonding stress σ0”. The “Extended SMP” includes the SMP applicable to frictional materials such as granular materials (σ0 → ∞) and the octahedral plane applicable to cohesive materials such as metals (σ0 = 0) at the two extremes. This corresponds to the fact that the two extremes of frictional and cohesive materials are granular materials and metals. The constitutive law is verified quantitatively using experimental data of triaxial compression, triaxial extension and true triaxial tests on cemented sands, which are selected as an intermediate material with both friction and cohesion. The experimental stress-strain relationship for the cemented sands under three-dimensional stress conditions are uniquely arranged on the “Extended SMP”, and the strength of the cemented sands under three-dimensional stress conditions are well predicted by “Extended SMP” failure criterion.
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