Abstract.
The present paper is concerned with the linear theory of porous elastic materials. We study a generalization of Saint-Venant’s problem to the case when the body loads and surface tractions on the lateral surface of the beam are polynomials in the axial coordinate. The beam is composed of two materials with different constitutive coefficients. The results are used to study the deformation of a circular cylinder composed by two different homogeneous and isotropic materials. The intended applications of the solution are to bone implants and various compound cylinders.
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Ieşan, D., Scalia, A. Porous elastic beams reinforced by longitudinal rods. Z. Angew. Math. Phys. 60, 1156 (2009). https://doi.org/10.1007/s00033-009-9008-3
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DOI: https://doi.org/10.1007/s00033-009-9008-3