Abstract
ABSTRACT A general failure criterion and stress-strain relation for frictional and cohesive materials are presented on the basis of the Matsuoka-Nakai criterion for a frictional material and the Mises criterion for a cohesive material. In order to extend the Matsuoka-Nakai criterion and constitutive relation on the “spatially mobilized plane (SMP)” for a frictional material to those for frictional and cohesive materials, a parameter of “bonding stress σ0” is introduced. The proposed failure criterion and constitutive relation are reduced to the Matsuoka-Nakai criterion and stress-strain relation on the SMP in the case of σ0 = 0. They are also reduced to the Mises criterion and stress-strain relation on the octahedral plane in the case of σ0 →∞.
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