Is there link between the type of the volumetric strain curve and elastic constants, porosity, stress and strain characteristics?

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Abstract

The stress [crack damage stress (σ cd) and uniaxial compressive strength (σ c)] and strain characteristics [maximum total volumetric strain (ε cd), axial failure strain (ε af)], porosity (n) and elastic constants [elastic modulus (E) and Poisson's ratio (ν)] and their ratios were coordinated with the existence of two different types (type 1 and type 2) of volumetric strain curve. Type 1 volumetric strain curve has a reversal point and, therefore, σ cd is less than the uniaxial compressive strength (σ c). Type 2 has no reversal point, and the bulk volume of rock decreases until its failure occurs (i.e., σ cd = σ c). It is confirmed that the ratio between the elastic modulus (E) and the parameter λ = n/ε cd strongly affects the crack damage stress (σ cd) for both type 1 and type 2 volumetric strain curves. It is revealed that heterogeneous carbonate rock samples exhibit different types of the volumetric strain curve even within the same rock formation, and the range of σ cdc = 0.54-1 for carbonate rocks is wider than the range (0.71 < σ cdc < 0.84) obtained by other researchers for granites, sandstones and quartzite. It is established that there is no connection between the type of the volumetric strain curve and values of n, E, σ cd, ν, E/(1 - 2ν), M R = E/σ c and E/λ. On the other hand, the type of volumetric strain curve is connected with the values of λ and the ratio between the axial failure strain (ε af) and the maximum total volumetric strain (ε cd). It is argued that in case of small ε afcd-small λ, volumetric strain curve follows the type 2.

Original languageEnglish
Pages (from-to)315-326
Number of pages12
JournalRock Mechanics and Rock Engineering
Volume46
Issue number2
DOIs
StatePublished - 1 Mar 2013

Keywords

  • Crack damage stress
  • Failure strain
  • Porosity
  • Volumetric strain curve

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