Some new closed-form solutions describing spherical inflation in compressible finite elasticity

Within the context of finite elasticity, considerable interesthas been shown in the problem of inflating spherical shellsof special compressible materials. Three new closed-form solutionsto the above problem are presented. The qualitative featuresof the inflation of thin shells of these special materials arethen studied. The related problems of spherical eversion andcylindrical inflation are also briefly considered.