Thermally induced multistable configurations of variable stiffness composite plates: Semi-analytical and finite element investigation

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • Universidad de Sevilla
View graph of relations

Details

Original languageEnglish
Pages (from-to)161-175
Number of pages15
JournalComposite structures
Volume183
Issue number1
Publication statusPublished - 10 Feb 2017

Abstract

Multistable structures used in morphing applications are conventionally achieved by using unsymmetric laminates with straight fibers. An ideal morphing system always calls for a structure with highly anisotropic internal architecture. With the advancement of fiber placement technology, it is possible to manufacture fibers even with curvilinear paths or so-called variable stiffness (VS) composites. The aim of this study is to explore the bistable shapes generated by changing various angle parameters that define a VS composite for elucidating novel morphing structures. A semi-analytical model based on the Rayleigh–Ritz method was developed to investigate the thermally induced multistable behavior particularly taking into account the curvilinear paths of VS composites. This approach provides a computationally efficient means to determine all the stable solutions with reasonable accuracy. The proposed methodology requires the definition of appropriate shape functions for the out-of-plane displacement and strain field. This is used to: (i) identify the multiple potential solutions and (ii) to perform the subsequent stability assessment of the solutions obtained. To check the accuracy and robustness of the proposed method, the results for different cases are compared with a nonlinear finite element analysis. A parametric study is further conducted to analyze the effect of changing fiber orientation on the multistable shapes. A rich design space of VS composite is demonstrated with multiple bistable shapes having different values of out-of-plane displacements and curvatures.

Keywords

    Multistability, Rayleigh-Ritz, Residual thermal stresses, Variable stiffness composites

ASJC Scopus subject areas

Cite this

Thermally induced multistable configurations of variable stiffness composite plates: Semi-analytical and finite element investigation. / Haldar, Ayan; Reinoso, José; Jansen, Eelco et al.
In: Composite structures, Vol. 183, No. 1, 10.02.2017, p. 161-175.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{d3005882d5c340c286f38eeec866b35d,
title = "Thermally induced multistable configurations of variable stiffness composite plates: Semi-analytical and finite element investigation",
abstract = "Multistable structures used in morphing applications are conventionally achieved by using unsymmetric laminates with straight fibers. An ideal morphing system always calls for a structure with highly anisotropic internal architecture. With the advancement of fiber placement technology, it is possible to manufacture fibers even with curvilinear paths or so-called variable stiffness (VS) composites. The aim of this study is to explore the bistable shapes generated by changing various angle parameters that define a VS composite for elucidating novel morphing structures. A semi-analytical model based on the Rayleigh–Ritz method was developed to investigate the thermally induced multistable behavior particularly taking into account the curvilinear paths of VS composites. This approach provides a computationally efficient means to determine all the stable solutions with reasonable accuracy. The proposed methodology requires the definition of appropriate shape functions for the out-of-plane displacement and strain field. This is used to: (i) identify the multiple potential solutions and (ii) to perform the subsequent stability assessment of the solutions obtained. To check the accuracy and robustness of the proposed method, the results for different cases are compared with a nonlinear finite element analysis. A parametric study is further conducted to analyze the effect of changing fiber orientation on the multistable shapes. A rich design space of VS composite is demonstrated with multiple bistable shapes having different values of out-of-plane displacements and curvatures.",
keywords = "Multistability, Rayleigh-Ritz, Residual thermal stresses, Variable stiffness composites",
author = "Ayan Haldar and Jos{\'e} Reinoso and Eelco Jansen and Raimund Rolfes",
year = "2017",
month = feb,
day = "10",
doi = "10.1016/j.compstruct.2017.02.014",
language = "English",
volume = "183",
pages = "161--175",
journal = "Composite structures",
issn = "0263-8223",
publisher = "Elsevier BV",
number = "1",

}

Download

TY - JOUR

T1 - Thermally induced multistable configurations of variable stiffness composite plates

T2 - Semi-analytical and finite element investigation

AU - Haldar, Ayan

AU - Reinoso, José

AU - Jansen, Eelco

AU - Rolfes, Raimund

PY - 2017/2/10

Y1 - 2017/2/10

N2 - Multistable structures used in morphing applications are conventionally achieved by using unsymmetric laminates with straight fibers. An ideal morphing system always calls for a structure with highly anisotropic internal architecture. With the advancement of fiber placement technology, it is possible to manufacture fibers even with curvilinear paths or so-called variable stiffness (VS) composites. The aim of this study is to explore the bistable shapes generated by changing various angle parameters that define a VS composite for elucidating novel morphing structures. A semi-analytical model based on the Rayleigh–Ritz method was developed to investigate the thermally induced multistable behavior particularly taking into account the curvilinear paths of VS composites. This approach provides a computationally efficient means to determine all the stable solutions with reasonable accuracy. The proposed methodology requires the definition of appropriate shape functions for the out-of-plane displacement and strain field. This is used to: (i) identify the multiple potential solutions and (ii) to perform the subsequent stability assessment of the solutions obtained. To check the accuracy and robustness of the proposed method, the results for different cases are compared with a nonlinear finite element analysis. A parametric study is further conducted to analyze the effect of changing fiber orientation on the multistable shapes. A rich design space of VS composite is demonstrated with multiple bistable shapes having different values of out-of-plane displacements and curvatures.

AB - Multistable structures used in morphing applications are conventionally achieved by using unsymmetric laminates with straight fibers. An ideal morphing system always calls for a structure with highly anisotropic internal architecture. With the advancement of fiber placement technology, it is possible to manufacture fibers even with curvilinear paths or so-called variable stiffness (VS) composites. The aim of this study is to explore the bistable shapes generated by changing various angle parameters that define a VS composite for elucidating novel morphing structures. A semi-analytical model based on the Rayleigh–Ritz method was developed to investigate the thermally induced multistable behavior particularly taking into account the curvilinear paths of VS composites. This approach provides a computationally efficient means to determine all the stable solutions with reasonable accuracy. The proposed methodology requires the definition of appropriate shape functions for the out-of-plane displacement and strain field. This is used to: (i) identify the multiple potential solutions and (ii) to perform the subsequent stability assessment of the solutions obtained. To check the accuracy and robustness of the proposed method, the results for different cases are compared with a nonlinear finite element analysis. A parametric study is further conducted to analyze the effect of changing fiber orientation on the multistable shapes. A rich design space of VS composite is demonstrated with multiple bistable shapes having different values of out-of-plane displacements and curvatures.

KW - Multistability

KW - Rayleigh-Ritz

KW - Residual thermal stresses

KW - Variable stiffness composites

UR - http://www.scopus.com/inward/record.url?scp=85016511981&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2017.02.014

DO - 10.1016/j.compstruct.2017.02.014

M3 - Article

AN - SCOPUS:85016511981

VL - 183

SP - 161

EP - 175

JO - Composite structures

JF - Composite structures

SN - 0263-8223

IS - 1

ER -

By the same author(s)