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Micromechanics Models for Viscoelastic Plain-Weave Composite Tape Springs

Technical University of Denmark, 4000 Roskilde, Denmark

*Scientist, Department of Energy Conversion and Storage, Frederiksborgvej 399, Building 779; .

and

California Institute of Technology, Pasadena, California 91125

†Joyce and Kent Kresa Professor of Aeronautics and Professor of Civil Engineering, Graduate Aerospace Laboratories, 1200 East California Boulevard, Mail Code 301-46; . Fellow AIAA.

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Published Online:14 Oct 2016https://doi.org/10.2514/1.J055041

Abstract

The viscoelastic behavior of polymer composites decreases the deployment force and the postdeployment shape accuracy of composite deployable space structures. This paper presents a viscoelastic model for single-ply cylindrical shells (tape springs) that are deployed after being held folded for a given period of time. The model is derived from a representative unit cell of the composite material, based on the microstructure geometry. Key ingredients are the fiber volume density in the composite tows and the constitutive behavior of the fibers (assumed to be linear elastic and transversely isotropic) and of the matrix (assumed to be linear viscoelastic). Finite-element-based homogenizations at two scales are conducted to obtain the Prony series that characterize the orthotropic behavior of the composite tow, using the measured relaxation modulus of the matrix as an input. A further homogenization leads to the lamina relaxation $A B D$ matrix. The accuracy of the proposed model is verified against the experimentally measured time-dependent compliance of single lamina in either pure tension or pure bending. Finite element simulations of single-ply tape springs based on the proposed model are compared to experimental measurements that were also obtained during this study.

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Volume 55, Number 1January 2017

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Copyright © 2016 by Kawai Kwok and Sergio Pellegrino. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Copies of this paper may be made for personal and internal use, on condition that the copier pay the per-copy fee to the Copyright Clearance Center (CCC). All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0001-1452 (print) or 1533-385X (online) to initiate your request.

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Acknowledgments

The authors thank Professor Wolfgang Knauss at the California Institute of Technology for helpful discussions and Gary Patz at Patz Materials Technologies for providing materials used for the present study. The award of a doctoral research fellowship from the Croucher Foundation in Hong Kong to Kawai Kwok is gratefully acknowledged. Financial support from the Northrop Grumman Corporation is gratefully acknowledged.

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Received19 January 2016
Accepted24 June 2016
Published online14 October 2016

Micromechanics Models for Viscoelastic Plain-Weave Composite Tape Springs

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