Coupling fluid-structure interaction with phase-field fracture: modeling and simulation

Prof. Thomas Wick

Nov. 24, 2015, 3:30 p.m. S2 059

In this presentation, a framework for coupling arbitrary Lagrangian-Eulerian
fluid-structure interaction with phase-field fracture is suggested.
The key idea is based on applying the weak form of phase-field fracture,
including a crack irreversibility constraint, to the nonlinear
coupled system of Navier-Stokes and elasticity. The resulting
setting is formulated via variational-monolithic coupling and has four
unknowns: velocities, displacements, pressure, and a phase-field variable.
The inequality constraint is imposed through penalization using
an augmented Lagrangian algorithm.
Temporal discretization is based
on A-stable schemes and spatial discretization is realized
with Galerkin finite elements.
The nonlinear problem is solved
with Newton's method. The framework is tested in terms of numerical examples
in which computational stability is demonstrated by evaluating
goal functionals on different spatial meshes and different time step sizes.