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A Numerical Approach for the Quasi-Plane Strain-Softening Problem of Cylindrical Cavity Expansion Based on the Hoek-Brown Failure Criterion
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper focuses on a novel approach for the quasi-plane strain-softening problem of the cylindrical cavity expansion based on generalized Hoek-Brown failure criterion.
Because the intermediate principal stress is deformation-dependent, the quasi-plane strain problem is defined to implement the numerical solution of the intermediate principal stress.
This approach assumes that the initial total strain in axial direction is a nonzero constant ( ε 0 ) and the plastic strain in axial direction is not zero.
Based on 3D failure criterion, the numerical solution of plastic strain is given.
Solution of the intermediate principal stress can be derived by Hooke’s law.
The radial and circumferential stress and strain considering the intermediate principal stress are obtained by the proposed approach of the intermediate principal stress, stress equilibrium equation, and generalized H-B failure criterion.
The numerical results can be used for the solution of strain-softening surrounding rock.
In additional, the validity and accuracy of the proposed approach are verified with the published results.
At last, parametric studies are carried out using MATLAB programming to highlight the influences of the out-of-plane stress on the stress and displacement of surrounding rock.
American Psychological Association (APA)
Jin-feng, Zou& Du, Jia-min. 2016. A Numerical Approach for the Quasi-Plane Strain-Softening Problem of Cylindrical Cavity Expansion Based on the Hoek-Brown Failure Criterion. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112072
Modern Language Association (MLA)
Jin-feng, Zou& Du, Jia-min. A Numerical Approach for the Quasi-Plane Strain-Softening Problem of Cylindrical Cavity Expansion Based on the Hoek-Brown Failure Criterion. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112072
American Medical Association (AMA)
Jin-feng, Zou& Du, Jia-min. A Numerical Approach for the Quasi-Plane Strain-Softening Problem of Cylindrical Cavity Expansion Based on the Hoek-Brown Failure Criterion. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112072