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

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Authors
Ateiro, Albertino
Sharma, Naresh
Melo, Jose Daniel Diniz
Seneviratne, Waruna P.
Issue Date
2020-11-15
Type
Article
Language
en_US
Keywords
Analysis , CFRP , Invariants , Stiffness
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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.

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Click on the DOI link to access the article (may not be free). WSU author: Waruna P. Seneviratne. The complete list includes: Albertino Arteiro, Naresh Sharm, Jose Daniel D. Melo, Sung Kyu Ha, Antonio Miravete, Yasushi Miyano, Thierry Massard, Pranav D.Shah, Surajit Roy, Robert Rainsberger, Klemens Rother, Carlos Cimini Jr., Jocelyn M. Seng, Francisco K. Arakaki, Tong-Earn Tay, Woo l. Lee, Sangwook Sihn, George S. Springer, Ajit Roy, Aniello Riccio, Francesco Di Caprio, Sachin Shrivastava, Alan T. Nettles, Giuseppe Catalanotti, Pedro P. Camanho, Waruna Seneviratne, António T. Marques, Henry T. Yang, H. Thomas Hahn.
Citation
Ateiro, Albertino; Sharma, Naresh; Melo, Jose Daniel Diniz; Seneviratne, Waruna P. 2020. A case for Tsai's Modulus, an invariant-based approach to stiffness. Composite Structures, vol. 252:art. no. 112683
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Elsevier
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0263-8223
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