32 citations · 78 across the 7 of their papers we have counts for
7 papers
A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit
Leon Maximilian Kolditz, Katrin Mang, Thomas Wick
In this work, we examine a numerical phase-field fracture framework in which the crack irreversibility constraint is treated with a primal-dual active set method and a linearizatio…
Robust preconditioning for a mixed formulation of phase-field fracture problems
Timo Heister, Katrin Mang, Thomas Wick
In this work, we consider fracture propagation in nearly incompressible and (fully) incompressible materials using a phase-field formulation. We use a mixed form of the elasticity…
A mixed phase-field fracture model for crack propagation in punctured EPDM strips
Katrin Mang, Andreas Fehse, Nils Hendrik Kröger +1
In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and num…
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
Seshadri Basava, Katrin Mang, Mirjam Walloth +2
In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To…
Adaptive Numerical Simulation of a Phase-field Fracture Model in Mixed Form tested on an L-shaped Specimen with High Poisson Ratios
Katrin Mang, Mirjam Walloth, Thomas Wick +1
This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects,…
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
Katrin Mang, Mirjam Walloth, Thomas Wick +1
In this work, we consider adaptive mesh refinement for a monolithic phase-field description for fractures in brittle materials. Our approach is based on an a posteriori error estim…
A phase-field model for fractures in incompressible solids
Katrin Mang, Thomas Wick, Winnifried Wollner
Within this work, we develop a phase-field description for simulating fractures in incompressible materials. Standard formulations are subject to volume-locking when the solid is (…