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Enhancing the stretch ratio of a vertically stacked wavy circuit in stretchable devices

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Abstract

Recently, improving the integrity of stretchable wavy circuits in flexible devices has become important and stacking wavy circuits is a prominent issue observed in flexible devices. This study aims to increase the maximum stretch ratio of vertically stacked wavy circuits in stretchable devices. Various parameters of the stretching stack of wavy circuits have been studied in the literature, including the stacking distance, thickness of the wavy section, and tilting angle of the circuit. This study indicates that tightly stacked wavy circuits have a higher maximum stretch ratio compared to the sparsely stacked samples. Moreover, an increase in the tilting angle increases the maximum stretch ratio of the wavy circuit as the thickness of the wavy circuit increases as well.

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Abbreviations

R :

Radius of curved part

b :

Stacking distance

w :

Width

P l :

Pitch length

φ :

Tilting angle

I zr :

Moment of inertia

M zr :

Bending moment

k :

Neutral radius per thickness of the curve

∊ t :

Net strain cause by the applied force

F a :

Force applied

θ b :

Bending angle

ϕ 0 :

Initial tilting angle

ϕ 1 :

Final tilting angle

ϕ a :

Negative distortion angle

L :

Length of the wavy circuit

E :

Young modulus

t :

Thickness of the wavy circuit

ε stretch :

Strain applied for stretching

υ :

Poison ratio

σ matrix :

Stress in matrix

E matrix :

Young modulus of matrix

ε matrix :

Strain applied on the matrix

U :

Total internal energy

U stretch :

Stretching energy

U twist :

Twisting energy

T :

Torque in the curved part of the wavy circuit

GJ :

Torsional stiffness

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Acknowledgments

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (No. 2021R1F1A1051120).

This research was supported by the “Regional Innovation Strategy (RIS)” through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (MOE)(No. 2021RIS-004).

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Author notes

  1. These authors equally contributed to this work.

Authors and Affiliations

  1. Department of Future Convergence Engineering, Kongju National University, Cheonan, Korea

    Oluwabukola Adebisi & Jung-Hoon Yun

  2. Department of Mechanical and Automotive Engineering, Kongju National University, Cheonan, Korea

    Jung-Hoon Yun

Authors
  1. Oluwabukola Adebisi
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  2. Jung-Hoon Yun
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Corresponding author

Correspondence to Jung-Hoon Yun.

Additional information

Adebisi Oluwabukola Victoria is a master’s student from College of Engineering, Kongju National University, South Korea. She received her bachelor’s degree from Ekiti State University, Nigeria. Her research interest includes design of stretchable electronics, design of polymer composites and finite element modeling.

Jung Hoon Yun is an Assistant Professor in the Department of Mechanical Engineering and Future Convergence Engineering at College of Engineering, Kongju National University, Cheonan campus, South Korea. He received his Ph.D. in Mechanical Engineering from Seoul National University. His research interests includes, flexible circuit design, polymer composite design and multi scale modeling.

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Adebisi, O., Yun, JH. Enhancing the stretch ratio of a vertically stacked wavy circuit in stretchable devices. J Mech Sci Technol 37, 1923–1929 (2023). https://doi.org/10.1007/s12206-023-0329-5

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  • DOI: https://doi.org/10.1007/s12206-023-0329-5

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