Thomas Wick

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In this paper, we consider phase-field-based fracture propagation in elastic media. The main purpose is the development of a robust and efficient numerical scheme. To enforce crack irreversibility as a constraint, we use a primal-dual active set strategy, which can be identified as a semi-smooth Newton’s method. The active set iteration is merged with the(More)
The electrical resistance across the wall of proximal tubules of the rat kidney has been determined in situ. Two different experimental approaches were used. First, the resistance between lumen and interstitium, the so-called effective resistance (R eff) according to cable analysis, was measured. The mean values, as obtained by different methods, scattered(More)
The recently introduced phase-field approach for pressurized fractures in a porous medium offers various attractive computational features for numerical simulations of cracks such as joining, branching, and non-planar propagation in possibly heterogeneous media. In this study, the pressurized phase-field framework is extended to fluid-filled fractures in(More)
In this paper we present a phase field model for proppant-filled fractures in a poroelastic medium. The formulation of the coupled system involves four unknowns; displacements, phase field, pressure , and proppant concentration. The two-field displacement phase-field system is solved fully-coupled and accounts for crack irreversibility. This solution is(More)
Reference: Sanghyun Lee, Mary F. Wheeler, Thomas Wick, "Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model," ICES REPORT 16-04, This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and(More)
This contribution is the second part of two papers on the Fully Eulerian formulation for fluid-structure interactions (fsi). We present different fsi applications using the Fully Eulerian scheme, where traditional interface-tracking approaches like the Arbitrary LagrangianEulerian (ALE) framework show difficulties. Furthermore, we present examples where(More)
This contribution is the first part of two papers on the Fully Eulerian formulation for fluid-structure interactions. We derive a monolithic variational formulation for the coupled problem in Eulerian coordinates. Further, we present the Initial Point Set method for capturing the moving interface. For the discretization of this interface problem, we(More)
In this paper we present an incremental formulation of the phase field model for a fluid filled crack in a poroelastic medium. The mathematical model represents a linear elasticity system with fading elastic moduli as the crack grows, that is coupled with an elliptic variational inequality for the phase field variable. The convex constraint of the(More)