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246   Analysis and Design of Energy Geostructures






















                Figure 5.32 Representation of the soil structure interface roughness.

                and if R n . R cr the interface is considered rough. In the first case, after an initial
                reversible range, the behaviour is generally perfectly plastic. As the roughness of the
                interface increases, after an initial reversible range, the behaviour become closer to that
                of the soil and can be analysed in the framework of the critical state plasticity
                (Schofield and Wroth, 1968). This fact has been proven to be valid for both sand
                and clay structure interfaces (Littleton, 1976; Tsubakihara et al., 1993; Yamamoto
                et al., 2003; Shakir and Zhu, 2009).
                   The shear strength of soil structure interfaces is lower than the corresponding
                soil soil strength or at most equal to it: the lowest value of shear strength is found in
                the case of smooth interfaces while the highest value is found in the case of rough
                interfaces (Littleton, 1976; Tsubakihara et al., 1993; Yamamoto et al., 2003; Shakir
                and Zhu, 2009). An example of this evidence for dry dense sand aluminium inter-
                faces tested under isothermal conditions by Porcino et al. (2003) is presented in
                Fig. 5.33 in terms of the relationships between shear stress, τ, horizontal displacement,
                δ h , and normal displacement, δ n . The interface shear resistance increases with the
                interface roughness and is always lower than the corresponding soil soil strength (cf.
                Fig. 5.33A). The volumetric deformation of the interface is also lower with regards to
                the soil soil one and the observed dilatant behaviour in this case is less and less evi-
                dent with the reduction of the surface roughness (cf. Fig. 5.33B).
                   The lower shear strength of soil structure interfaces compared to that of the same
                soils and the influence of the structure roughness on this discrepancy can also be
                highlighted in terms of the relationship between soil structure interface angle of shear
                strength under constant volume conditions, δ cv , and soil angle of shear strength under
                                            0
                constant volume conditions, ϕ . An example of results for interfaces with sand
                                            cv
                and clay are reported in Fig. 5.34 with reference to the investigations of Potyondy
                (1961), Brumund and Leonards (1973), Littleton (1976), Tsubakihara et al. (1993),
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