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Critical State Models in Non-Cohesive Media Mechanics (Review)

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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.

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Funding

The work was supported by the Russian Science Foundation, project no. 20-49-08002.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia

    S. V. Kuznetsov

  2. Bauman Moscow State Technical University, 105005, Moscow, Russia

    S. V. Kuznetsov

  3. Moscow State University of Civil Engineering, 129347, Moscow, Russia

    S. V. Kuznetsov

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  1. S. V. Kuznetsov
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Correspondence to S. V. Kuznetsov.

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Translated by A. Ivanov

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Kuznetsov, S.V. Critical State Models in Non-Cohesive Media Mechanics (Review). Mech. Solids 55, 1423–1431 (2020). https://doi.org/10.3103/S0025654420080142

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