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The following defines a geomechanical model accommodating the interaction of fluid flow, adsorption-induced swelling stress, solid deformation and damage to quantify rock-gas interactions during supercritical CO2 fracturing for shale gas production.
We present a set of numerical methods for simulations of microstructural evolution in elastically stressed solids.
Many applications in materials involve surface diffusion of elastically stressed solids.
The kinetically driven growth instability in stressed solids has been a subject of recent investigation as there is an increasing interest in the effects of non-hydrostatic stresses on crystal growth processes.
Recent experiments and atomic scale computations indicate that the standard continuum models of diffusion in stressed solids do not accurately describe transport, deformation and stress in Li Si alloys.
Fig. 2 Failure surfaces of maximum-stress (solid line) and Tsai-Wu (dashed blue line) failure criteria (Cousigné et al. 2013).
We show that the equilibrium melting temperature TN for the non-hydrostatically stressed solid in contact with a melt at pressure pF is below the equilibrium melting temperature TH of the hydrostatically stressed solid at pF.
The general two-dimensional problem for an isotropic stressed solid with an arbitrary roughened surface at the nanoscale is considered.
Nevertheless, the liquid in equilibrium with this non-hydrostatically stressed solid is always unstable with respect to the formation of hydrostatic solid.
Here we present a high-order boundary integral method for an elastically stressed solid with axi-symmetry due to surface diffusions.
It is shown that a cracked couple-stress solid behaves in a more rigid way compared to one governed by classical elasticity.
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