Equilibrium and stability of non-linearly elastic bodies with cavities containing fluid

V. A. Yeremeyev (1) , L. M. Zubov (1)

1 SFEDU - Southern Federal University [Rostov-on-Don]

Boundary conditions are formulated on the surface of a cavity filled with a compressible fluid or gas for the equilibrium problem of an elastic body experiencing large deformations. A formulation is given of the stability problem for the equilibrium of a non-linearly elastic body with fluid inclusions. The stability problem is solved for a thick-walled closed spherical shell filled with gas and loaded by external pressure.

Domaines: Mécanique [physics.med-ph]

V. A. Yeremeyev, L. M. Zubov. Equilibrium and stability of non-linearly elastic bodies with cavities containing fluid. Journal of Applied Mathematics and Mechanics, 1987, 51 (3), pp.353-356. ⟨hal-00838369⟩