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IssuesArchive of Issues2020-8pp.1423-1431

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Kuznetsov S.V., "Critical State Models in Non-Cohesive Media Mechanics (Review)," Mech. Solids. 55 (8), 1423-1431 (2020)
Year 2020 Volume 55 Number 8 Pages 1423-1431
DOI 10.3103/S0025654420080142
Title Critical State Models in Non-Cohesive Media Mechanics (Review)
Author(s) Kuznetsov S.V. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia; Moscow State University of Civil Engineering, Moscow, 129347 Russia, kuzn-sergey@yandex.ru)
Abstract In this review, we analyze the basic equations and assumptions for the design of critical state models used in the mechanics of non-cohesive media. The relationship of the modified cam clay model with related models of the plasticity theory with isotropic hardening described by closed plasticity surfaces is noted. The state equations of modified cam clay models in the elastic zone are analyzed; the studies, in which the elastic state is described by the hyperelasticity equations with exponential potential, are noted. Generalizations of modified cam clay models to the case of finite deformations are considered. It is important to note that additional research on kinematic combined loading in the spherical and deviatoric regions is needed.
Keywords elastoplastic medium, critical state model, cam clay model, finite deformations
Received 03 February 2020Revised 14 May 2020Accepted 08 June 2020
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