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Surface Green’s function of a soft elastomer with the gravity effect

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Gravity can play a tremendous effect on deformation of rubberlike materials and biological soft tissues. In this paper, considering the gravity effect, we proposed a surface Green’s function of a soft elastomer based on the neo-Hookean model. The proposed surface Green’s function is applied to analyze the elastic deformation of a soft elastomer subjected to uniform pressure. The surface normal displacement of the soft elastomer is calculated and the results show that gravity has a large impact on the surface deformation of the elastomer. Generally, the surface normal displacement decreases with the increasing gravitational force.
Rocznik
Strony
35--44
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
  • Hefei University, Department of Architectural Engineering, Hefei
autor
  • Anhui Jianzhu University, Department of Civil Engineering, Hefei
autor
  • Anhui Jianzhu University, Department of Civil Engineering, Hefei
autor
  • Anhui Jianzhu University, Department of Civil Engineering, Hefei
Bibliografia
  • 1. Amar M.B., Jia F., 2013, Anisotropic growth shapes intestinal tissues during embryogenesis, Proceedings of the National Academy of Sciences, 110, 26, 10525.
  • 2. Biot M.A., 1963, Surface instability of rubber in compression, Applied Scientific Research, Section A, 12, 2, 168-182.
  • 3. Biot M.A., 1965, Mechanics of Incremental Deformations: Theory of Elasticity and Viscoelasticity of Initially Stressed Solids and Fluids, Including Thermodynamic Foundations and Applications to Finite Strain, Wiley.
  • 4. Dervaux J., Amar M.B., 2012, Mechanical instabilities of gels, Annual Review of Condensed Matter Physics, 3, 311-332.
  • 5. Du J., Chen X., Liang X., Zhang G., Xu J., He L., Zhan Q., Feng X.Q., Chien S., Yang C., 2011, Integrin activation and internalization on soft ECM as a mechanism of induction of stem cell differentiation by ECM elasticity, Proceedings of the National Academy of Sciences, 108, 23, 9466-9471.
  • 6. Gent A.N., Cho I. S., 1999, Surface instabilities in compressed or bent rubber blocks, Rubber Chemistry and Technology, 72, 2, 253-262.
  • 7. He L., 2008, Elastic interaction between force dipoles on a stretchable substrate, Journal of the Mechanics and Physics of Solids, 56, 2957-2971.
  • 8. He L.H., Lim C.W., 2006, Surface Green function for a soft elastic half-space: influence of Surface stress, International Journal of Solids and Structures, 43, 132-143.
  • 9. Keplinger C., Li T., Baumgartner R., Suo Z., Bauer S., 2012, Harnessing snap-through instability in soft dielectrics to achieve giant voltage-triggered deformation, Soft Matter, 8, 285-288.
  • 10. Kim J., Hanna J.A., Byun M., Santangelo C.D., Hayward R.C., 2012, Designing responsive buckled surfaces by halftone gel lithography, Science, 335, 1201-1205.
  • 11. Li K., Cai S., 2014, Wet adhesion between two soft layers, Soft Matter, 10, 41, 8202-8209.
  • 12. Li K., Ge D.L., Cai S.Q., 2012, Gravity-induced wrinkling of thin films on soft substrates, Europhysics Letters, 100, 54004.
  • 13. Liang X., Cai S., 2015, Gravity induced crease-to-wrinkle transition in soft materials, Applied Physics Letters, 106, 041907.
  • 14. Ling F.F., Lai W.M., Lucca D.A., 2002, Fundamentals of Surface Mechanics: With Applications, Springer-Verlag, New York.
  • 15. Mora S., Phou T., Fromental J.M., Pomeau Y., 2014, Gravity driven instability in elastic solid layers, Physical Review Letters, 113, 17, 178301.
  • 16. Ogden R.W., 1997, Non-Linear Elastic Deformations, Courier Corporation.
  • 17.Tanaka T., Sun S. T., Hirokawa Y., Katayama S., Kucera J., Hirose Y., Amiya T., 1987, Mechanical instability of gels at the phase transition, Nature, 325, 796-798.
  • 18.Treloar L.R.G., 1975, The Physics of Rubber Elasticity, Oxford University Press.
  • 19. Wang Q., Zhao X., 2013, Creasing-wrinkling transition in elastomer films under electric fields, Physical Review E, 88, 4, 042403.
  • 20. Zheng Y., Crosby A.J., Cai S., 2017, Indentation of a stretched elastomer, Journal of the Mechanics and Physics of Solids, 107, 145-159.
  • 21. Zhu J., Stoyanov H., Kofod G., Suo Z., 2010, Large deformation and electromechanical instability of a dielectric elastomer tube actuator, Journal of Applied Physics, 108, 074113.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-37e758d5-0cf3-4841-9432-3e843e578d4c
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