TY - JOUR

T1 - Efficient post-buckling analysis of variable-stiffness plates using a perturbation approach

AU - Vescovini, R.

AU - Spigarolo, E.

AU - Jansen, Eelco Luc

AU - Dozio, L.

N1 - Funding information: Part of the work presented in this paper has been done during the research stay of the second author (Enrico Spigarolo) at Leibniz University Hannover, the institute of Prof. Rolfes, Institute of Structural Analysis.

PY - 2019/10

Y1 - 2019/10

N2 - The present work discusses the development of a formulation for efficiently analyzing variable-stiffness plates operating in the post-buckling regime. The approach relies upon the combined use of a single-mode Koiter's perturbation strategy along with a mixed variational formulation expressed in terms of Airy stress function and out-of-plane displacement, where the unknowns are approximated using global trial functions based on Legendre polynomials. A highly efficient numerical tool is achieved, which allows the initial post-buckling field to be analyzed with the ease of closed-form solutions, but a much wider field of employ in terms of elastic couplings, boundary and loading conditions. The quality of the predictions is illustrated by means of a comprehensive set of comparisons against results from the literature. Possible applications of the approach are shown, where the exploration of the design space offered by curvilinear fibers requires thousands of non-linear post-buckling analyses to be run.

AB - The present work discusses the development of a formulation for efficiently analyzing variable-stiffness plates operating in the post-buckling regime. The approach relies upon the combined use of a single-mode Koiter's perturbation strategy along with a mixed variational formulation expressed in terms of Airy stress function and out-of-plane displacement, where the unknowns are approximated using global trial functions based on Legendre polynomials. A highly efficient numerical tool is achieved, which allows the initial post-buckling field to be analyzed with the ease of closed-form solutions, but a much wider field of employ in terms of elastic couplings, boundary and loading conditions. The quality of the predictions is illustrated by means of a comprehensive set of comparisons against results from the literature. Possible applications of the approach are shown, where the exploration of the design space offered by curvilinear fibers requires thousands of non-linear post-buckling analyses to be run.

KW - Perturbation approach

KW - Post-buckling

KW - Reduced-order models

KW - Variable-stiffness

UR - http://www.scopus.com/inward/record.url?scp=85067814867&partnerID=8YFLogxK

U2 - 10.1016/j.tws.2019.106211

DO - 10.1016/j.tws.2019.106211

M3 - Article

AN - SCOPUS:85067814867

VL - 143

JO - Thin-walled structures

JF - Thin-walled structures

SN - 0263-8231

M1 - 106211

ER -