SHUGUANG LI shuguang.li@nottingham.ac.uk
Professor of Aerospace Composites
The Formulation of the Quadratic Failure Criterion for Transversely Isotropic Materials: Mathematical and Logical Considerations
Li, Shuguang; Xu, Mingming; Sitnikova, Elena
Authors
Mingming Xu
Dr ELENA SITNIKOVA ELENA.SITNIKOVA@NOTTINGHAM.AC.UK
Research Fellow
Abstract
The quadratic function of the original Tsai–Wu failure criterion for transversely isotropic materials is re-examined in this paper. According to analytic geometry, two of the troublesome coefficients associated with the interactive terms—one between in-plane direct stresses and one between transverse direct stresses—can be determined based on mathematical and logical considerations. The analysis of the nature of the quadratic failure function in the context of analytic geometry enhances the consistency of the failure criterion based on it. It also reveals useful physical relationships as intrinsic properties of the quadratic failure function. Two clear statements can be drawn as the outcomes of the present investigation. Firstly, to maintain its basic consistency, a failure criterion based on a single quadratic failure function can only accommodate five independent strength properties, viz. the tensile and compressive strengths in the directions along fibres and transverse to fibres, and the in-plane shear strength. Secondly, amongst the three transverse strengths—tensile, compressive and shear—only two are independent.
Citation
Li, S., Xu, M., & Sitnikova, E. (2022). The Formulation of the Quadratic Failure Criterion for Transversely Isotropic Materials: Mathematical and Logical Considerations. Journal of Composites Science, 6(3), Article 82. https://doi.org/10.3390/jcs6030082
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 1, 2022 |
Online Publication Date | Mar 7, 2022 |
Publication Date | Mar 1, 2022 |
Deposit Date | Apr 27, 2022 |
Publicly Available Date | Apr 28, 2022 |
Journal | Journal of Composites Science |
Electronic ISSN | 2504-477X |
Publisher | MDPI AG |
Peer Reviewed | Peer Reviewed |
Volume | 6 |
Issue | 3 |
Article Number | 82 |
DOI | https://doi.org/10.3390/jcs6030082 |
Keywords | Engineering (miscellaneous); Ceramics and Composites |
Public URL | https://nottingham-repository.worktribe.com/output/7566146 |
Publisher URL | https://www.mdpi.com/2504-477X/6/3/82 |
Files
The Formulation of the Quadratic Failure Criterion for Transversely Isotropic Materials: Mathematical and Logical Considerations
(911 Kb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
You might also like
Laminated beams/shafts of annular cross-section subject to combined loading
(2022)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search