Abstract

Abstract The paper concerns the characteristic parameters of the selected isotropic failure criteria, i.e. Mohr–Coulomb, Drucker–Prager, Matsuoka–Nakai and Lade–Duncan. The parameters are determined directly from the failure criteria and stress measurements or by semi-theoretical approach, assuming that the soil obeys the associated flow rule and using the plane strain condition. In the latter case, the parameters can be expressed as functions of the plane strain internal friction angle, which is determined from measurements. The principal stress tensor components, corresponding to the soil peak strength and necessary to obtain the failure criteria parameters, are measured in a series of true triaxial, plane strain tests, on coarse Skarpa sand samples of different initial relative density, subjected to various confining pressures.

Highlights

  • Many different failure criteria, being part of soil constitutive models, can be found in the literature

  • This paper considers the most frequently used isotropic soil failure criteria: Mohr– Coulomb, Drucker–Prager, Matsuoka–Nakai and Lade– Duncan

  • The same tendency: a decrease in the internal friction angle with growing sample porosity is observed in true triaxial tests on Skarpa sand under plane strain conditions, but no quantitative agreement is found, because they are two different soils

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Summary

Introduction

Many different failure criteria, being part of soil constitutive models, can be found in the literature. It proved its usefulness in classic triaxial compression, where a cylindrical soil sample is subjected to an axisymmetric state of stress The problem of soil strength is more complex when true triaxial stress conditions are considered, and the principal stresses s1, s2, s3 have different values (Fig. 1b). Barreto and O’Sullivan (2012) examined the effect of inter-particle friction (μ) and the intermediate stress s2 on the granular material’s response, using the discrete element method (DEM) They have shown that both parameters significantly affect the strength characteristics. Experimental investigations of dense granular soils have shown that the plane strain shear strength is higher than that in the axisymmetric conditions (Alshibli et al, 2003). The peak soil strength is considered a measure of soil failure state

Soil peak strength
Scope of the paper
Characteristics of soil failure criteria
True triaxial tests in plane strain σ12
Test procedure
Measurement results
Flow rule and plane strain condition
Intermediate stress s2
Experimental validation of Vikash and Prashant approach

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