A continuation-based method for finding laminated composite stacking sequences

Viquerat, Andrew (2020) A continuation-based method for finding laminated composite stacking sequences Composite Structures.

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Abstract

A method of recovering laminate ply stacking sequences from a set of up to twelve lamination parameters using polynomial homotopy continuation techniques is presented. The ply angles are treated as continuous variables, and are allowed to take any value between -90 and +90 degrees. The individual plies are assumed to be orthotropic and have constant stiffness. The method is fully deterministic, and does not rely on an optimisation process to establish the stacking sequence. Polyhedral continuation methods are used to limit the solution space in which the stacking sequences are sought. The method can reliably find every stacking sequence solution that exists to achieve a precisely specified set of lamination parameter "targets", with the number of real solutions to a feasible combination of target properties found to vary from 1 to over 100. The same method is also demonstrated to be able to find stacking sequences to satisfy a set of specified ABD stiffness matrix terms, as might be required following a direct-stiffness modelling design process.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mechanical Engineering Sciences
Authors :	Name Email ORCID Viquerat, Andrew a.viquerat@surrey.ac.uk
Date :	3 January 2020
Funders :	Engineering and Physical Sciences Research Council (EPSRC)
Uncontrolled Keywords :	polynomial homotopy continuation, composite materials, ply angles, lamination parameters, stacking sequence
Depositing User :	James Marshall
Date Deposited :	04 Feb 2020 15:54
Last Modified :	05 Feb 2020 15:28
URI:	http://epubs.surrey.ac.uk/id/eprint/853655

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