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216   Analysis and Design of Energy Geostructures























                Figure 5.2 Volumetric behaviour of fine-grained soils subjected to temperature variations. Redrawn
                after Di Donna, A., Laloui, L., 2013. Soil response under thermomechanical conditions imposed
                by energy geostructures. In: Laloui, L., Di Donna, A. (Eds.), Energy Geostructures: Innovation in
                Underground Engineering. Wiley, pp. 3 21.



                temperature variation, ΔT. The theoretical relationship between ε v and ΔT for
                concrete is plotted for reference.
                   Under NC conditions, fine-grained soils contract when heated and a significant
                part of this deformation is not recovered upon cooling (Di Donna and Laloui, 2013).
                According to currently available experimental evidence, thermally induced volumetric
                strains of up to 6% can characterise NC soils upon heating (e.g. for temperature varia-

                tions of up to ΔT 5 80 C). Such an irreversible mechanical behaviour is unusual for
                any material and is associated with a thermal contraction of the soil matrix (also termed
                thermal collapse).
                   Under highly OC conditions, fine-grained soils expand when heated and this
                deformation is entirely recovered upon cooling (Di Donna and Laloui, 2013).
                Thermally induced volumetric strains of up to 20.5% can characterise OC soils upon

                heating (e.g. for temperature variations of up to ΔT 5 80 C). Such a reversible
                mechanical behaviour is typical for most materials, such as metals and concrete.
                   Between the two aforementioned cases there is an intermediate one associated
                with slightly OC conditions (Di Donna and Laloui, 2013). Under slightly OC condi-
                tions, fine-grained soils show an initial expansion and subsequent contraction when
                heated, followed by a tendency towards contraction upon cooling. This mechanical
                behaviour represents a transition between the behaviour of soils under NC and OC
                conditions.
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