Strength Optimisation of Variable Angle-Tow Composites Through a Laminate-Level Failure Criterion
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Strength Optimisation of Variable Angle-Tow Composites Through a Laminate-Level Failure Criterion Anita Catapano1
· Marco Montemurro2
Received: 24 May 2020 / Accepted: 8 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The development of additive manufacturing techniques for composite structures brought the emergence of a new class of composite materials: the variable angletow composites. Additive manufacturing of reinforced polymers allows the tow to be placed along a curvilinear path in each lamina. Accordingly, optimised solutions with enhanced properties can be manufactured. In this work, the multi-scale two-level optimisation strategy for composites is exploited to optimise the strength of variable angle-tow composites subject to mechanical and manufacturing constraints. At the first step of the strategy, the laminate strength is described through a laminate-level failure criterion based on tensor invariants and on the first-order shear deformation theory. The lay-up design phase makes use of quasi-trivial solutions and integrates a check on the first-ply failure in order to ensure the integrity of the whole laminate. The effectiveness of the strategy as well as of the proposed failure criterion is proven on some meaningful test cases. Keywords Composites · Failure criteria · Variable angle tow · Strength · Polar method · Genetic algorithms Mathematics Subject Classification 90C26 · 90C27 · 90C90 · 74K20 · 74B05 · 74P10 · 74S05
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Anita Catapano [email protected] Marco Montemurro [email protected]
1
Bordeaux INP, Université de Bordeaux, Arts et Métiers Institute of Technology, CNRS, INRA, HESAM Université, I2M UMR 5295, 33405 Talence, France
2
Arts et Métiers Institute of Technology, Université de Bordeaux, CNRS, INRA, Bordeaux INP, HESAM Université, I2M UMR 5295, 33405 Talence, France
123
Journal of Optimization Theory and Applications
1 Introduction The design and the manufacturing of more efficient and cheaper lightweight structures, in particular in aeronautical and aerospace fields, is of primary importance. This aspect allows pushing research towards the development of new materials showing outstanding properties, e.g. lightness combined with high stiffness and strength. The development of new manufacturing processes of composite structures, e.g. additive manufacturing (AM) techniques, like the automated fibre placement (AFP) or the fused filament fabrication (FFF) combined to the continuous filament fabrication (CFF) technology, allows for going beyond the classical design rules, thus leading the designer to find innovative solutions more efficient than the classical straight-fibres format. The use of AM technology brought the emergence of a new class of composite materials: the variable angle-tow (VAT) composites [1,2]. A modern AM machine allows the tow to be placed along a curvilinear path within each layer, thus implying a point-wise variation of the material properties, i.e. stiffness, strength, etc. Of course, this techno
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