Abstract
Theories are developed for deformation of porous elastic plates and shells saturated with a viscous fluid. The formulations, which are based on consolidation theory, account for detailed variations in fluid pressure and flow across the thickness. First, a linear theory is discussed for general thin shells, with plates and spherical shells examined as special cases. Then, the theory is extended to poroelastic membranes of revolution undergoing large axisymmetric deformation. In both theories, the fluid and solid components are assumed to be incompressible. Results are given for a spherical poroelastic membrane of Blatz-Ko material with a time-varying internal pressure. For high loading rates at large strain, nonlinearities strongly influence the fluid-pressure distribution.
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© 1996 Springer Science+Business Media Dordrecht
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Taber, L.A., Puleo, A.M. (1996). Poroelastic Plate and Shell Theories. In: Selvadurai, A.P.S. (eds) Mechanics of Poroelastic Media. Solid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8698-6_18
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DOI: https://doi.org/10.1007/978-94-015-8698-6_18
Publisher Name: Springer, Dordrecht
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