in this paper, a finite element model is developed for the fully hydro-mechanical analysis of hydraulic fracturing in partially saturated porous media. the model is derived from the framework of generalized biot theory. the fracture propagation is governed by a cohesive fracture model. the flow within the fracture zone is modeled by the lubrication equation. the displacement of solid phase, and...

Abstract The interfaces play a key role in many engineering problems involving geologic materials. In particular, slope stability analyses of ancient landslides (that were subjected to large displacements along slip surface) need the formulation ad hoc interface elements. mechanical response surfaces clays is affected by hydro-chemo-mechanical interactions and rate effects this paper presents a...

We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We investigate the finite element pair applied to the linear shallow-water equations on an f -plane. The element pair has the property that all geostrophically balanced states which strongly satisfy the boundary conditions have discrete div...

The Reissner-Mindlin model is frequently used by engineers for plates and shells of small to moderate thickness. This model is well known for its “locking” phenomenon so that many numerical approximations behave poorly when the thickness parameter tends to zero. Following the formulation derived by Brezzi and Fortin, we construct a new finite element scheme for the Reissner-Mindlin model using ...

The design and the optimization of structures with constrained layer damping (CLD) treatment requires an efficient numerical tool. The frame of this work is the modelling of thin constrained viscoelastic layers embedded in a massive structure meshed in 3D. A zero-thickness interface finite element is developed in order to model this viscoelastic layer, which enables to modify both its placement...