A semi-analytical equation for the modeling of stress-strain relationship for heterogeneous carbonate rocks exhibiting large axial strains (ε af>1%) is formulated. The equation is derived by modifying the stress-strain model based on Haldane's distribution proposed by Palchik (2006) for carbonate rocks exhibiting ε af ≤ 1%. The developed exponential model is used to relate normalized axial stress (σ a/σ c) over the whole pre-failure strain range to current axial strain (ε a) and failure strain (ε af). For carbonate rocks exhibiting ε af>1%, the value of pre-calculated parameter d involved in the stress-strain model is not constant, but dependent on the failure strain value (ε af). The normalized stress-strain model can be used to calculate the failure strain in terms of uniaxial compressive strength and stress-strain measurement at one point only. The advantages of the failure strain model and ways of its use in engineering practice are discussed.
- Failure strain
- Heterogeneous rocks
- Stress-strain response
- Uniaxial compressive strength
ASJC Scopus subject areas
- Civil and Structural Engineering
- Geotechnical Engineering and Engineering Geology