Anisotropy

Abstract

Let us now consider the same problem analyzed in Chap. 1, only changing the hypothesis that the material is isotropic. Precisely we consider the three-dimensional solid body C of Fig. 1.1.1 and still denote with V the region of ℜ ³ occupied by C and still assume that the frontier $S = \partial V$ of C is a regular surface of ℜ ³. We still refer to the Cartesian reference frame $0,x,y,z$ of Fig. 1.1.1. We still suppose that the material is homogeneous and still admits the hypothesis of small displacements. We still suppose that the superficial distributed load $p_x ,p_y ,p_z$ and the volumetric load $X,Y,Z$ are mathematically regular.