Tailoring bistability in unsymmetrical laminates using an additional composite strip

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  • Indian Institute of Technology Madras (IITM)
  • Cardiff University
  • Rotterdam University of Applied Sciences
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OriginalspracheEnglisch
Aufsatznummer108212
FachzeitschriftThin-walled structures
Jahrgang168
Frühes Online-Datum18 Aug. 2021
PublikationsstatusVeröffentlicht - Nov. 2021

Abstract

Unsymmetric laminates exhibiting two stable equilibrium shapes due to the induced thermal residual stresses have been extensively explored in recent years. The potential energy wells for such bistable systems have a considerable influence on the stable shapes and their snap-through behavior. For a square shaped cross-ply laminate, both stable shapes, having their principal curvatures orthogonal to each other, possess identical potential energies. However, applications pertaining to morphing systems requiring different snap-through and snap-back forces and the design of metamaterials for wave propagation demands asymmetry in the potential energy landscape. Motivated by such applications, a novel strategy is proposed to realize a tunable potential energy landscape in a square bistable cross-ply laminate by attaching an additional strip. A fully non-linear finite element model is employed to model and analyze an unsymmetrical laminate with an additional strip. The results of the cool-down shapes are verified using a corresponding Rayleigh–Ritz based semi-analytical formulation. A systematic parametric study using the developed finite element method is further performed to explore the changes in the potential energy landscape and its dependencies on geometric parameters like width, thickness, orientation, and the location of the strip. Consequently, the effect of the snap forces on changing the aforementioned parameters are also investigated.

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Tailoring bistability in unsymmetrical laminates using an additional composite strip. / Kumar, A. Phanendra; Anilkumar, P. M.; Haldar, A. et al.
in: Thin-walled structures, Jahrgang 168, 108212, 11.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Kumar AP, Anilkumar PM, Haldar A, Scheffler S, Jansen EL, Rao BN et al. Tailoring bistability in unsymmetrical laminates using an additional composite strip. Thin-walled structures. 2021 Nov;168:108212. Epub 2021 Aug 18. doi: 10.1016/j.tws.2021.108212
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abstract = "Unsymmetric laminates exhibiting two stable equilibrium shapes due to the induced thermal residual stresses have been extensively explored in recent years. The potential energy wells for such bistable systems have a considerable influence on the stable shapes and their snap-through behavior. For a square shaped cross-ply laminate, both stable shapes, having their principal curvatures orthogonal to each other, possess identical potential energies. However, applications pertaining to morphing systems requiring different snap-through and snap-back forces and the design of metamaterials for wave propagation demands asymmetry in the potential energy landscape. Motivated by such applications, a novel strategy is proposed to realize a tunable potential energy landscape in a square bistable cross-ply laminate by attaching an additional strip. A fully non-linear finite element model is employed to model and analyze an unsymmetrical laminate with an additional strip. The results of the cool-down shapes are verified using a corresponding Rayleigh–Ritz based semi-analytical formulation. A systematic parametric study using the developed finite element method is further performed to explore the changes in the potential energy landscape and its dependencies on geometric parameters like width, thickness, orientation, and the location of the strip. Consequently, the effect of the snap forces on changing the aforementioned parameters are also investigated.",
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author = "Kumar, {A. Phanendra} and Anilkumar, {P. M.} and A. Haldar and S. Scheffler and Jansen, {E. L.} and Rao, {B. N.} and R. Rolfes",
note = "Funding Information: Authors would like to acknowledge the Scholarship funded by German Academic Exchange Service: Deutscher Akademischer Austauschdienst–DAAD , during the course of this research. The second author would like extend the acknowledgment to Prime Minister{\textquoteright}s Research Fellowship Scheme, India for the support during the research.",
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T1 - Tailoring bistability in unsymmetrical laminates using an additional composite strip

AU - Kumar, A. Phanendra

AU - Anilkumar, P. M.

AU - Haldar, A.

AU - Scheffler, S.

AU - Jansen, E. L.

AU - Rao, B. N.

AU - Rolfes, R.

N1 - Funding Information: Authors would like to acknowledge the Scholarship funded by German Academic Exchange Service: Deutscher Akademischer Austauschdienst–DAAD , during the course of this research. The second author would like extend the acknowledgment to Prime Minister’s Research Fellowship Scheme, India for the support during the research.

PY - 2021/11

Y1 - 2021/11

N2 - Unsymmetric laminates exhibiting two stable equilibrium shapes due to the induced thermal residual stresses have been extensively explored in recent years. The potential energy wells for such bistable systems have a considerable influence on the stable shapes and their snap-through behavior. For a square shaped cross-ply laminate, both stable shapes, having their principal curvatures orthogonal to each other, possess identical potential energies. However, applications pertaining to morphing systems requiring different snap-through and snap-back forces and the design of metamaterials for wave propagation demands asymmetry in the potential energy landscape. Motivated by such applications, a novel strategy is proposed to realize a tunable potential energy landscape in a square bistable cross-ply laminate by attaching an additional strip. A fully non-linear finite element model is employed to model and analyze an unsymmetrical laminate with an additional strip. The results of the cool-down shapes are verified using a corresponding Rayleigh–Ritz based semi-analytical formulation. A systematic parametric study using the developed finite element method is further performed to explore the changes in the potential energy landscape and its dependencies on geometric parameters like width, thickness, orientation, and the location of the strip. Consequently, the effect of the snap forces on changing the aforementioned parameters are also investigated.

AB - Unsymmetric laminates exhibiting two stable equilibrium shapes due to the induced thermal residual stresses have been extensively explored in recent years. The potential energy wells for such bistable systems have a considerable influence on the stable shapes and their snap-through behavior. For a square shaped cross-ply laminate, both stable shapes, having their principal curvatures orthogonal to each other, possess identical potential energies. However, applications pertaining to morphing systems requiring different snap-through and snap-back forces and the design of metamaterials for wave propagation demands asymmetry in the potential energy landscape. Motivated by such applications, a novel strategy is proposed to realize a tunable potential energy landscape in a square bistable cross-ply laminate by attaching an additional strip. A fully non-linear finite element model is employed to model and analyze an unsymmetrical laminate with an additional strip. The results of the cool-down shapes are verified using a corresponding Rayleigh–Ritz based semi-analytical formulation. A systematic parametric study using the developed finite element method is further performed to explore the changes in the potential energy landscape and its dependencies on geometric parameters like width, thickness, orientation, and the location of the strip. Consequently, the effect of the snap forces on changing the aforementioned parameters are also investigated.

KW - Bistability

KW - Composite

KW - Laminates

KW - Snap-through

KW - Strain energy

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