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An Extended Mohr–Coulomb Model for Fracture Strength of Intact Brittle Materials Under Ultrahigh Pressures
Author(s) -
Shafiq Muhammad,
Subhash Ghatu
Publication year - 2016
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/jace.14026
Subject(s) - materials science , brittleness , strain rate , hydrostatic pressure , mohr–coulomb theory , ceramic , composite material , hydrostatic equilibrium , coulomb , stress (linguistics) , deformation (meteorology) , mechanics , thermodynamics , physics , finite element method , linguistics , philosophy , quantum mechanics , electron
An extended Mohr–Coulomb model is proposed to represent the pressure‐dependent strength of intact structural ceramics under quasi‐static and dynamic loading rates at high pressures. A plot of normalized shear stress versus hydrostatic pressure for a range of structural ceramics revealed that despite the differences in material properties, test methods, and strain rates, the failure strength data fall in a narrow range, which can be represented by a unified model. The overall deformation behavior of structural ceramics and their strain rate dependence of strength in multiaxial loading at high pressure beyond Hugoniot elastic limit ( HEL ) can be explained by an exponential pressure dependence in the Mohr–Coulomb model. The analysis also suggests that the influence of strain rate on strength of a ceramic diminishes with increase in confinement pressure.