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Curved and Layered Structures

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An analytical nonlinear morphing model for corrugated laminates

G.R. Kress
  • Corresponding author
  • Laboratory of Composite Materials and Adaptive Structures, Department of Mechanical and Process Engineering, ETH Zürich, Tannenstr. 3, CH-8092 Zürich, Switzerland;
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  • De Gruyter OnlineGoogle Scholar
/ D.T. Filipovic
  • Laboratory of Composite Materials and Adaptive Structures, Department of Mechanical and Process Engineering, ETH Zürich, Tannenstr. 3, CH-8092 Zürich, Switzerland
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2019-04-12 | DOI: https://doi.org/10.1515/cls-2019-0005

Abstract

This paper contributes an analytical nonlinear morphing model for high-amplitude corrugated thinwalled laminates of arbitrary stack-up with a corrugation shape composed of circular sections. The model describes large deformations, the nonlinear relation between line force and global stretch, and the distribution of local line loads. The quarter-unit-cell approach together with assuming small material strains and a plane strain situation contribute to the model’s simplicity. It is explained how the solution procedure minimizes the force and moment residual of the equilibrium of cutting and reaction line loads by using Newton’s optimization method. Deformation results are verified by comparison with FEM simulation. The effects of laminate design and corrugation amplitude on deformations, line-force-stretch diagrams, and bending-curvature-stretch diagrams are presented and discussed.

Keywords: corrugated laminate; composite materials; large deformations; morphing

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About the article

Received: 2018-10-04

Accepted: 2018-11-04

Published Online: 2019-04-12

Published in Print: 2019-01-01


Citation Information: Curved and Layered Structures, Volume 6, Issue 1, Pages 57–67, ISSN (Online) 2353-7396, DOI: https://doi.org/10.1515/cls-2019-0005.

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© 2019 G.R. Kress et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution 4.0 Public License. BY 4.0

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