ON GENERALIZED PLANE-STRAIN POROELASTICITY

Generalized plane strain is characterized by geometries of cylinders o f finite or infinite length with boundary conditions that do not chang e in the direction of the generators. The resultant field generally co ntain three-dimensional stress and strain components, but has only two -dimensional spatial dependency. In addition to the classical plane st rain deformation, it admits axial strain, warping, torsion, shear, ben ding, among other elementary deformation modes. The study of generaliz ed plane strain solutions has so far been limited to elasticity. The p resent paper seeks the parallel development for poroelasticity. Due to the mathematical difficulty arising from the coupled nature of poroel asticity, analyses here are restricted to materials with orthotropic p roperties and cylindrical geometries whose longitudinal axis coincides with one of the material principal axes. (C) 1998 Elsevier Science Lt d.