Why not Designing Multidirectional Laminates with In-Plane Strength Design Sheets Applying the UD Criteria of TSAI–WU and Cuntze? Part1: Analytical Foundation.

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Title: Why not Designing Multidirectional Laminates with In-Plane Strength Design Sheets Applying the UD Criteria of TSAI–WU and Cuntze? Part1: Analytical Foundation.
Authors: Cuntze, R.1 (AUTHOR), Kappel, E.2 (AUTHOR) erik.kappel@dlr.de
Source: Mechanics of Composite Materials. Nov2024, Vol. 60 Issue 5, p889-906. 18p.
Subjects: Failure mode & effects analysis, Design failures, Structural engineers, Structural engineering, Engineering design, Laminated materials
Abstract: A structural engineer must design to several Design Dimensioning Load cases and in each case to all the activated strength failure modes. As the task here is the in-plane loading of the envisaged multi-stack laminates, composed of transversely isotropic unidirectional UD layers, the 3D Strength Failure Criteria (SFCs) of Tsai–Wu and Cuntze were reduced to the necessary 2D-SFCs. The article addresses an idea of Stephen Tsai [1], in order to get a deeper mechanical feeling for conventional and so-called Double-Double laminates, when designing them to First-Ply Failure (FPF), which includes Fiber Failure (FF) and Inter-Fiber-Failure (IFF) and marks the 'Onset-of-fracture'. This would enable to reduce the effort for Design Dimensioning regarding optimization and finally for Design Verification including testing. Omni- (principal strain) failure envelopes' (term from S. Tsai) are derived, which surround a Non-FPF area, for Tsai–Wu and Cuntze, in order to perform the comparison. Five differently stiff CFRPs and one GFRP were examined for both SFCs. Part 1 of the paper provides the analytical foundation for the development of 'Non-FPF areas' (denoted as Omni-FPF- envelopes by Tsai). Part 2 of the paper focusses on the application. It outlines the process of creating Non-FPF areas for Cuntze and Tsai–Wu and compares the resulting Non-FPF areas for the examined materials. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics of Composite Materials is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A structural engineer must design to several Design Dimensioning Load cases and in each case to all the activated strength failure modes. As the task here is the in-plane loading of the envisaged multi-stack laminates, composed of transversely isotropic unidirectional UD layers, the 3D Strength Failure Criteria (SFCs) of Tsai–Wu and Cuntze were reduced to the necessary 2D-SFCs. The article addresses an idea of Stephen Tsai [1], in order to get a deeper mechanical feeling for conventional and so-called Double-Double laminates, when designing them to First-Ply Failure (FPF), which includes Fiber Failure (FF) and Inter-Fiber-Failure (IFF) and marks the 'Onset-of-fracture'. This would enable to reduce the effort for Design Dimensioning regarding optimization and finally for Design Verification including testing. Omni- (principal strain) failure envelopes' (term from S. Tsai) are derived, which surround a Non-FPF area, for Tsai–Wu and Cuntze, in order to perform the comparison. Five differently stiff CFRPs and one GFRP were examined for both SFCs. Part 1 of the paper provides the analytical foundation for the development of 'Non-FPF areas' (denoted as Omni-FPF- envelopes by Tsai). Part 2 of the paper focusses on the application. It outlines the process of creating Non-FPF areas for Cuntze and Tsai–Wu and compares the resulting Non-FPF areas for the examined materials. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Mechanics of Composite Materials is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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              Text: Nov2024
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