Issue 39

J. Labudkova et alii, Frattura ed Integrità Strutturale, 39 (2017) 47-55; DOI: 10.3221/IGF-ESIS.39.06

Figure 3: Types of half-space and their classification. According to the Frölich formula in [7], a relation is proposed based on the condition of minimum deformation work. If  = 3 it is an elastic isotropic half-space (E = const.) and if  = 4 it is a half-space whose modulus of deformability increases linearly with depth depending on E 0 - the modulus at the surface, z-coordinate (depth) and coefficient m dependent on Poisson coefficient  . Modulus of deformability increases linearly with depth according to Eq. (1) shown in [7]:

m

( 1)  

def E E z 0

(see Tab.1)

(1)

m 1

1 2 2 0.875

0.35      

(2)

Fig. 4 and Tab. 1 shows a model of an inhomogeneous half-space, in which the deformability module increases with increasing depth of the subsoil model (in layers).

Figure 4: Inhomogeneous half-space.

50