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An extension strain type Mohr–Coulomb criterion

  • Extension fractures are typical for the deformation under low or no confining pressure. They can be explained by a phenomenological extension strain failure criterion. In the past, a simple empirical criterion for fracture initiation in brittle rock has been developed. In this article, it is shown that the simple extension strain criterion makes unrealistic strength predictions in biaxial compression and tension. To overcome this major limitation, a new extension strain criterion is proposed by adding a weighted principal shear component to the simple criterion. The shear weight is chosen, such that the enriched extension strain criterion represents the same failure surface as the Mohr–Coulomb (MC) criterion. Thus, the MC criterion has been derived as an extension strain criterion predicting extension failure modes, which are unexpected in the classical understanding of the failure of cohesive-frictional materials. In progressive damage of rock, the most likely fracture direction is orthogonal to the maximum extension strain leading to dilatancy. The enriched extension strain criterion is proposed as a threshold surface for crack initiation CI and crack damage CD and as a failure surface at peak stress CP. Different from compressive loading, tensile loading requires only a limited number of critical cracks to cause failure. Therefore, for tensile stresses, the failure criteria must be modified somehow, possibly by a cut-off corresponding to the CI stress. Examples show that the enriched extension strain criterion predicts much lower volumes of damaged rock mass compared to the simple extension strain criterion.

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Metadaten
Author:Manfred StaatORCiD
DOI:https://doi.org/10.1007/s00603-021-02608-7
ISSN:1434-453X
Parent Title (English):Rock mechanics and rock engineering
Publisher:Springer Nature
Place of publication:Cham
Document Type:Article
Language:English
Year of Completion:2021
Date of the Publication (Server):2021/08/24
Volume:54
Issue:12
First Page:6207
Last Page:6233
Note:
Corresponding author: Manfred Staat
Link:https://doi.org/10.1007/s00603-021-02608-7
Zugriffsart:weltweit
Institutes:FH Aachen / IfB - Institut für Bioengineering
collections:Verlag / Springer Nature
Open Access / Hybrid
Licence (German):License LogoCreative Commons - Namensnennung