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A Failure Criterion Considering Stress Angle Effect

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Abbreviations

\({\sigma _1}\) :

Major principal stress

\({\sigma _2}\) :

Intermediate principal stress

\({\sigma _3}\) :

Minor principal stress

\(F\) :

Failure criterion function

\(C\) :

Material constant

\({I_1}\) :

First invariant of the stress tensor

\({J_2}\) :

Second invariant of deviatoric stress tensor

\({J_3}\) :

Third invariant of deviatoric stress tensor

\(\xi\) :

Hydrostatic length

\(r\) :

Deviatoric length

\(\theta\) :

Stress angle

\({\sigma _{\text{t}}}\) :

Uniaxial tensile strength

\({\sigma _{\text{c}}}\) :

Uniaxial compressive strength

\({\sigma _{{\text{ax}}}}\) :

Axial stress in the conventional triaxial test

\({\sigma _{\text{p}}}\) :

Confining pressure in the conventional triaxial test

\(g(\theta )\) :

Stress angle function

\(\alpha\) :

Tensile-compressive strength ratio

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Acknowledgements

This work is financially supported by National Natural Science Foundation of China (11472206) and the 111 Project (B18040).

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Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, School of Aerospace Engineering, Xi’an Jiaotong University, 710049, Xi’an, China

    Jia-Yu Liang & Yue-Ming Li

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  1. Jia-Yu Liang
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Correspondence to Yue-Ming Li.

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Liang, JY., Li, YM. A Failure Criterion Considering Stress Angle Effect. Rock Mech Rock Eng 52, 1257–1263 (2019). https://doi.org/10.1007/s00603-018-1676-x

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