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The effects of non-hydrostatic stresses on the poro-mechanics of in-pore crystallisation are investigated. The consequences of the hypothesis of a purely hydrostatic state of stress in the crystals on their shape and orientation are derived from a diluted problem following Eshelby’s (1957) solution of an inhomogeneous inclusion in an infinite matrix. These results are used in a micro-mechanical scheme to estimate the macroscopic constitutive parameters. The preferred orientation and shape of the crystal, with respect to the stress field, induce a non-linear anisotropic dependence of the macroscopic constitutive parameters of the porous medium upon the stress state. The importance of such an induced anisotropy is explored for a given material as well as the effect of different boundary conditions on a unit volume of material undergoing crystal growth.
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