ARTICLE
Surface Green’s function of a soft elastomer with the gravity effect
Junxiu Liu 2
,  
Peibao Xu 2
,  
Kai Li 2
 
 
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1
Hefei University, Department of Architectural Engineering, Hefei
2
Anhui Jianzhu University, Department of Civil Engineering, Hefei
Publication date: 2020-01-15
Submission date: 2019-04-25
Acceptance date: 2019-06-17
 
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.
 
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