In this paper, we study the wrinkling instability of two layers embedded in a homogeneous matrix of infinite size. Using a linear stability analysis, we characterize the wrinkling of the two layers as a function of the layer spacing and the shear moduli ratio between the two materials. When the layers are stiffer than the surrounding matrix, stiffness contrast largely determines the stability behavior of the system. When the layers are softer than the surrounding matrix, stiffness contrast and layer spacing interact to determine critical threshold strain and wavelength, and result in striking discontinuities in wavelength between regimes. When the layers are close to each other, the system has a strong preference for the symmetric wrinkling mode, but as the distance between the two layers increases, the anti-symmetric mode may emerge.
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April 2019
Research-Article
Stiffness Contrast and Separation Influence Wrinkling of Adjacent Layers in a Homogeneous Matrix
Jérôme M. Colin,
Jérôme M. Colin
Istituto dei Sistemi Complessi,
Consiglio Nazionale delle Ricerche,
Via Madonna del Piano 10,
Sesto Fiorentino I-50019, Italy;
Consiglio Nazionale delle Ricerche,
Via Madonna del Piano 10,
Sesto Fiorentino I-50019, Italy;
Institut P',
Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil Cedex F86962, France
Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil Cedex F86962, France
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Mohsen Darayi,
Mohsen Darayi
Department of Aerospace and
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556
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Maria A. Holland
Maria A. Holland
Department of Aerospace and
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556;
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556;
Bioengineering Graduate Program,
University of Notre Dame,
Notre Dame, IN 46556
University of Notre Dame,
Notre Dame, IN 46556
Search for other works by this author on:
Jérôme M. Colin
Istituto dei Sistemi Complessi,
Consiglio Nazionale delle Ricerche,
Via Madonna del Piano 10,
Sesto Fiorentino I-50019, Italy;
Consiglio Nazionale delle Ricerche,
Via Madonna del Piano 10,
Sesto Fiorentino I-50019, Italy;
Institut P',
Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil Cedex F86962, France
Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil Cedex F86962, France
Mohsen Darayi
Department of Aerospace and
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556
Maria A. Holland
Department of Aerospace and
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556;
Mechanical Engineering,
University of Notre Dame,
Notre Dame, IN 46556;
Bioengineering Graduate Program,
University of Notre Dame,
Notre Dame, IN 46556
University of Notre Dame,
Notre Dame, IN 46556
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received November 14, 2018; final manuscript received December 28, 2018; published online January 30, 2019. Assoc. Editor: Yihui Zhang.
J. Appl. Mech. Apr 2019, 86(4): 041004 (7 pages)
Published Online: January 30, 2019
Article history
Received:
November 14, 2018
Revised:
December 28, 2018
Citation
M. Colin, J., Darayi, M., and Holland, M. A. (January 30, 2019). "Stiffness Contrast and Separation Influence Wrinkling of Adjacent Layers in a Homogeneous Matrix." ASME. J. Appl. Mech. April 2019; 86(4): 041004. https://doi.org/10.1115/1.4042430
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