In this paper we consider the linear theory of porous materials introduced by Nunziato and Cowin. Contrary to the famous Biot’s porous theory where the pores are filled with fluids, in the N-C model the interstitial pores are empty, containing nothing of mechanical interest. The deformation is measured by four kinematic variables. We study the elastic deformation of porous spherical bodies under the action of radial pressure. The problem is solved using a system of spherical coordinates and the solution is presented in closed form. As application, we study the case of a spherical shell and that of a sphere with a rigid nucleus. Explicit formulas for the displacement, volume fraction and stresses are given for each case studied.
On the deformation of porous spherical shells and other spherical bodies / De Cicco, S.. - (2023), pp. 309-314. (Intervento presentato al convegno Eighth International Conference on Structural Engineering, Mechanics and Computation, SEMC 2022 tenutosi a Cape Town, South Africa nel 5-7 September 2022) [10.1201/9781003348443-49].
On the deformation of porous spherical shells and other spherical bodies
S. De Cicco
2023
Abstract
In this paper we consider the linear theory of porous materials introduced by Nunziato and Cowin. Contrary to the famous Biot’s porous theory where the pores are filled with fluids, in the N-C model the interstitial pores are empty, containing nothing of mechanical interest. The deformation is measured by four kinematic variables. We study the elastic deformation of porous spherical bodies under the action of radial pressure. The problem is solved using a system of spherical coordinates and the solution is presented in closed form. As application, we study the case of a spherical shell and that of a sphere with a rigid nucleus. Explicit formulas for the displacement, volume fraction and stresses are given for each case studied.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
