Abstract
This paper is to rationalise the empirical aspect of the Tsai-Wu failure criterion in the context of UD composites associated with the determination of the interactive strength property F12 based on the analytic geometry. It reveals that the condition of closed failure envelope cannot be satisfied by all UD composites and hence the restriction should be abandoned. Depending on the way the failure envelope opens, UD composites can be classified into two categories. (a) F12 can be determined uniquely using the conventional strength properties with an additional assumption that the material exhibits very high or infinite strength under triaxial compression at a specific stress ratio; or (b) The Tsai-Wu criterion leads to one of the two scenarios: either allowing infinite strength for an in-plane stress state or allowing infinite strength under triaxial stresses involving tension along fibres.
Highlights
Failure criteria have been one of the central subjects in the study of composites and even more so in their applications
The Tsai-Wu failure criterion is one of the earliest failure criteria proposed originally for materials of the most general anisotropy in a non-phenomenological manner employing a tensorial expression as the failure function [4] whilst most of its practical applications have been made to unidirectionally fibre reinforced composites (UD) composites
The objective of this paper is to offer one missing facet associated with the determination of the interactive coefficient, F12, on a rational basis to eliminate the empiricism, as far as its applications to UD composites are concerned
Summary
Failure criteria have been one of the central subjects in the study of composites and even more so in their applications. The Tsai-Wu failure criterion is one of the earliest failure criteria proposed originally for materials of the most general anisotropy in a non-phenomenological manner employing a tensorial expression as the failure function [4] whilst most of its practical applications have been made to UD composites. The criterion has enjoyed remarkable success as it has been employed by researchers and designers all over the world It has been included in most textbooks on the subject of composites, e.g. The performances of this criterion as published in the WWFE-I and II have been appropriately appraised It is not the purpose of this paper to reproduce such an account in any form. The authors have noticed that Tsai and his co-workers have continued to work to enable more convenient applications, e.g. [11,12]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Composites Part A: Applied Science and Manufacturing
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
