An Anisotropic Hyperelastic Inflated Toroidal Membrane in Lateral Contact with Two Flat Rigid Plates  

作　　者：Satyajit Sahu Soham Roychowdhury 

机构地区：[1]School of Mechanical Sciences,Indian Institute of Technology Bhubaneswar,Bhubaneswar,India

出　　处：《Acta Mechanica Solida Sinica》2022年第6期1068-1081,共14页固体力学学报（英文版）

摘　　要：The present paper studies the contact problem of an inflated toroidal nonlinear anisotropic hyperelastic membrane laterally pressed between two flat rigid plates.The material is assumed to be homogeneous,and an anisotropic term is included in the incompressible Mooney–Rivlin hyperelastic model.Initially,two annular-shaped flat membranes,bonded at both equators,are considered in an undeformed state,which results in a toroidal geometry upon uniform internal pressurization.The contact problem of the inflated torus laterally pressed between two flat parallel plates is solved.Two different contact conditions,namely frictionless contact and no-slip contact,are considered within the contact region.The enclosed amount of gas within the inflated membrane is considered to be constant during the solution of the contact problem,which is solved in a quasi-static manner.In the case of no-slip contact,the stretch locking has been observed,and the frictionless contact causes the free flow of material points.The membrane’s stiffness increases with increasing anisotropic,material,and geometric parameters depicted in the force versus displacement curve under contact conditions.

关 键 词：Inflated toroidal membrane HYPERELASTICITY Anisotropic stretching Frictionless contact No-slip contact 

分 类 号：O342[理学—固体力学]