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1 Journal of Theoretical and Applied Mechanics

1 2020

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

Liang Xiaodong, Liu Junxiu, Xu Peibao, Li Kai

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 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.