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A note on the differences between Drucker-Prager and Mohr-Coulomb shear strength criteria Cover

A note on the differences between Drucker-Prager and Mohr-Coulomb shear strength criteria

Open Access
|Oct 2018

Figures & Tables

Figure 1

Variability of Drucker-Prager shear strength vs. Mohr-Coulomb shear strength with respect to Lode angles θ0 and θ and the friction angle ϕ. The qDP=qMC line represents the equivalent friction angles for the case of the DP criterion.

Table 1

Expressions for coefficient A and its minimum, maximum and average values for the selected values of θ0 parameter.

θ0 [°]AAminAmaxA = 1
-3023cosθ(2sinθ+1)sinϕ+30.61.150.927
03cosθ3sinϕsinθ+30.671.220.969
3023cosθ(2sinθ1) sinθ +31.03.01.49
arctan(sinϕ/3)3sin2ϕ+9cosθ(sin2ϕ+3sinθ+sinϕ)sinϕ+30.61.00.897
4.223cos(θ)3(sin (θ) 0.0736) sin(ϕ) +2.990.71.31
-19.353cos(θ)3(sin (θ) +0.331) sin(ϕ) +2.830.611.060.909
Figure 2

Deviation of coefficient A from unity for selected θ0 values with respect to Lode angle θ and friction angle ϕ.

Figure 3

Integral A¯=1with respect to the θ0 angle for different integration areas Ω.

DOI: https://doi.org/10.2478/sgem-2018-0016 | Journal eISSN: 2083-831X (formerly 0137-124X) | Journal ISSN: 0137-6365
Language: English
Page range: 163 - 169
Submitted on: Jan 31, 2018
Accepted on: May 18, 2018
Published on: Oct 20, 2018
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services

© 2018 Marek Wojciechowski, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.