Surface Green’s function of a soft elastomer with the gravity effect
Xiaodong Liang 1,   Junxiu Liu 2,   Peibao Xu 2,   Kai Li 2  
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Hefei University, Department of Architectural Engineering, Hefei
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
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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