A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters
Joint Authors
Hu, Chao
Ye, Fei
Fu, Wenxi
Chen, Zhuo
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper proposes a modified return mapping algorithm for a series of nonlinear yield criteria.
The algorithm is established in the principal stress space and ignores the effect of the intermediate principal stress.
Three stress return schemes are derived in this paper: return to the yield surface, return to the curve, and return to the apex point.
The conditions used for determining the correct stress return type are also constructed.
After the proposed algorithm is programmed in the finite element software, we merely need the equivalent Mohr–Coulomb (M-C) strength parameters, the derivatives of their functions, and the tensile strength of these nonlinear yield criteria.
In addition, the Hoek–Brown (H-B) yield criterion is taken as an example to validate the proposed method.
The results show that the updated stresses and the final principal stresses obtained by the proposed method are in good agreement with those obtained by other methods.
Furthermore, the proposed method is more suitable for the associated plastic-flow rule.
American Psychological Association (APA)
Hu, Chao& Ye, Fei& Fu, Wenxi& Chen, Zhuo. 2020. A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters. Advances in Civil Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1123332
Modern Language Association (MLA)
Hu, Chao…[et al.]. A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters. Advances in Civil Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1123332
American Medical Association (AMA)
Hu, Chao& Ye, Fei& Fu, Wenxi& Chen, Zhuo. A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters. Advances in Civil Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1123332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123332