Gradient-based initial postbuckling optimisation of imperfection-sensitive variable angle tow shells using an implicitly differentiated reduced-order model

Francesco S. Liguori

doi:10.1016/j.cma.2026.118969

Gradient-based initial postbuckling optimisation of imperfection-sensitive variable angle tow shells using an implicitly differentiated reduced-order model

2026-04-07

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Francesco S. Liguori *

DOI：10.1016/j.cma.2026.118969

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• A new implicit differentiation scheme enables exact gradients for Koiter ROMs. • Analytical gradients outperform finite–difference schemes in accuracy and robustness. • Significant reductions in computational cost enable practical gradient-based design. • The approach efficiently handles imperfection–sensitive postbuckling optimisation. • The approach scales to large VAT composite shells with hundreds of design variables.

Keywords:

Postbuckling optimisation

Gradient-based optimisation

Implicit gradient

Reduced order models

Variable angle tow composites

Koiter method

Gradient-based initial postbuckling optimisation of imperfection-sensitive variable angle tow shells using an implicitly differentiated reduced-order model

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