Tytuł artykułu
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
By means of complex variable method, the present work demonstrates that the surface of a semi-infinite isotropic laminated plate that is being attracted to a rigid contactor through van der Waals forces is always unstable. Two distinct surface instability modes are identified, and their wavenumbers and wavelengths are presented in concise and simple expressions. Furthermore, the two wavenumbers and wavelengths are completely determined by three elastic parameters of the laminated plate, three parameters related to the interactions between the surface and the contactor, and three parameters related to surface energy.
Czasopismo
Rocznik
Tom
Strony
137--155
Opis fizyczny
Bibliogr. 26 poz., rys.
Twórcy
autor
- School of Mechanical and Power Engineering East China University of Science and Technology 130 Meilong Road, Shanghai 200237, China
autor
- School of Mechanical and Power Engineering East China University of Science and Technology 130 Meilong Road, Shanghai 200237, China
autor
- School of Mechanical and Aerospace Engineering Nanyang Technological University 50 Nanyang Avenue Singapore 639798, Singapore
Bibliografia
- 1. K.R. Shull, C.M. Flanigan, A.J. Crosby, Fingering instabilities of confined elastic layers in tension, Phys. Rev. Lett., 84, 3057, 2000.
- 2. A. Ghatak, M.K. Chaudhury, V. Shenoy, A. Sharma, Meniscus instability in a thin elastic film, Phys. Rev. Lett., 85, 4329, 2000.
- 3. W. Monch, S. Herminghaus, Elastic instability of rubber films between solid bodies, Europhys. Lett., 53, 525–531, 2001.
- 4. V. Shenoy, A. Sharma, Pattern formation in a thin solid film with interactions, Phys. Rev. Lett., 86, 119–122, 2001.
- 5. V. Shenoy, A. Sharma, Stability of a thin elastic film interacting with a contactor, J. Mech. Phys. Solids, 50, 1155–1173, 2002.
- 6. C.Q. Ru, Surface wrinkling of two mutually attracting elastic thin films due to van der Waals forces, J. Appl. Phys., 90, 6098–6104, 2001.
- 7. C.Q. Ru, Surface instability of an elastic thin film interacting with a suspended elastic plate, ASME J. Appl. Mech., 69, 97–103, 2002.
- 8. J. Yoon, C.Q. Ru, A. Mioduchowski, Surface instability of a bilayer elastic film due to surface van der Waals forces, J. Appl. Phys., 98, 113503, 2005.
- 9. S.Q. Huang, Q.Y. Li, X.Q. Feng, S.W. Yu, Pattern instability of a soft elastic thin film under van der Waals forces, Mech. Mater., 38, 88–99, 2006.
- 10. X. Wang, L.J. Sudak, E. Pan, Pattern instability of functionally graded and layered elastic films under van der Waals forces, Acta Mech., 198, 65–86, 2008.
- 11. G. Tomar, A. Sharma, Contact instabilities of anisotropic and inhomogeneous soft elastic films, Phys. Rev. E, 85, 021603, 2012.
- 12. C.Q. Ru, Surface instability of a semi-infinite elastic body under van der Waals forces, ASME J. Appl. Mech., 71, 138–140, 2004.
- 13. G.F. Wang, P. Schiavone, C.Q. Ru, Surface instability of a semi-infinite harmonic solid under van der Waals attraction, Acta Mech., 180, 1–10, 2005.
- 14. X. Wang, Surface instability of a semi-infinite anisotropic elastic body under surface van der Waals forces, Mech. Res. Commun., 35, 181–186, 2008.
- 15. E. Fried, R.E. Todres, Mind the gap: the shape of the free surface of a rubber-like material in proximity to a rigid contactor, J. Elasticity, 80, 97–151, 2005.
- 16. E. Reissner, On tension field theory, Proc. 5th Int. Congr. Appl. Mech., 88–92, 1938.
- 17. E. Cerda, K. Ravi-Chandar, L. Mahadevan, Thin films: wrinkling of an elastic sheet under tension, Nature, 419, 579–580, 2002.
- 18. E. Puntel, L. Deseri, E. Fried, Wrinkling of a stretched thin sheet, J. Elasticity, 105, 137–170, 2011.
- 19. M. Taylor, K. Bertoldi, D.J. Steigmann, Spatial resolution of wrinkle patterns in thin elastic sheets, J. Mech. Phys. Solids, 62, 163–180, 2014.
- 20. H.G. Beom, Y.Y. Earmme, Complex variable method for problems of a laminate composed of multiple isotropic layers, Int. J. Fract., 92, 305-324, 1998.
- 21. Z.Q. Cheng, J.N. Reddy, Octet formalism for Kirchhoff anisotropic plates, Proc. R. Soc. Lond. A, 458, 1499−1517, 2002.
- 22. X. Wang, K. Zhou, An inclusion of arbitrary shape in an infinite or semi-infinite isotropic multilayered plate, Int. J. Appl. Mech., 6, 1450001-1-1450001-21, 2014.
- 23. X. Wang, K. Zhou, Green’s functions for infinite and semi-infinite isotropic laminated plates, Int. J. Mech. Sci., 80, 169-174, 2014.
- 24. T.C.T. Ting, Anisotropic Elasticity-Theory and Applications, Oxford University Press, New York, 2006.
- 25. Y.B. Fu, D.W. Brookes, Edge waves in asymmetrically laminated plates, J. Mech. Phys. Solids, 54, 1–21, 2006.
- 26. P. Mohammadi, L.P. Liu, P. Sharma, A theory of flexoelectric membranes and effective properties of heterogeneous membranes, ASME J. Appl. Mech., 81, 011007-1–011007-11, 2014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8f1e480d-f47c-48e2-87ac-58fd3ecd36b0