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Queen's University Research Portal
Article . 2020
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A case for Tsai’s Modulus, an invariant-based approach to stiffness

Authors: Arteiro A.; Sharma N.; Melo J. D. D.; Ha S. K.; Miravete A.; Miyano Y.; Massard T.; +22 Authors

A case for Tsai’s Modulus, an invariant-based approach to stiffness

Abstract

Abstract For the past six years, we have been benefiting from the discovery by Tsai and Melo (2014) that the trace of the plane stress stiffness matrix ( tr ( Q ) ) of an orthotropic composite is a fundamental and powerful scaling property of laminated composite materials. Algebraically, tr ( Q ) turns out to be a measure of the summation of the moduli of the material. It is, therefore, a material property. Additionally, since tr ( Q ) is an invariant of the stiffness tensor Q , independently of the coordinate system, the number of layers, layup sequence and loading condition (in-plane or flexural) in a laminate, if the material system remains the same, tr ( Q ) = tr ( A ∗ ) = tr ( D ∗ ) is still the same. Therefore, tr ( Q ) is the total stiffness that one can work with making it one of the most powerful and fundamental concepts discovered in the theory of composites recently. By reducing the number of variables, this concept shall simplify the design, analysis and optimization of composite laminates, thus enabling lighter, stronger and better parts. The reduced number of variables shall result in reducing the number and type of tests required for characterization of composite laminates, thus reducing bureaucratic certification burden. These effects shall enable a new era in the progress of composites in the future. For the above-mentioned reasons, it is proposed here to call this fundamental property, tr ( Q ) , as Tsai’s Modulus.

Countries
United States, United Kingdom, Italy
Keywords

Analysis; CFRP; Invariants; Stiffness, /dk/atira/pure/subjectarea/asjc/2200/2205, Invariants, name=Ceramics and Composites, 620, Stiffness, /dk/atira/pure/subjectarea/asjc/2500/2503; name=Ceramics and Composites, name=Civil and Structural Engineering, /dk/atira/pure/subjectarea/asjc/2200/2205; name=Civil and Structural Engineering, /dk/atira/pure/subjectarea/asjc/2500/2503, CFRP, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
53
Top 1%
Top 10%
Top 10%
Green