Since 1963
ARTICLE
Surface Green’s function of a soft elastomer with the gravity effect
1
Hefei University, Department of Architectural Engineering, Hefei
2
Anhui Jianzhu University, Department of Civil Engineering, Hefei
Submission date: 2019-04-25
Acceptance date: 2019-06-17
Publication date: 2020-01-15
Journal of Theoretical and Applied Mechanics 2020;58(1):35-44
KEYWORDS
ABSTRACT
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.
REFERENCES (21)
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.
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.
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.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
