A microstructural defect-orientation informed phase field model

V Prakash, MM Rahaman, D Roy - European Journal of Mechanics-A …, 2025 - Elsevier
Micro-cracks, micro-voids and other such defects, which typically coalesce to form
macroscopic cracks, could be represented through incompatible, local rotations of material …

Block preconditioning strategies for generalized continuum models with micropolar and nonlocal damage formulations

N Alkmim, P Gamnitzer, M Neuner… - … Journal for Numerical …, 2024 - Wiley Online Library
In this work, preconditioning strategies are developed in the context of generalized
continuum formulations used to regularize multifield models for simulating localized failure …

Phase-field fracture modeling, numerical solution, and simulations for compressible and incompressible solids

K Mang - 2022 - repo.uni-hannover.de
In this thesis, we develop phase-field fracture models for simulating fractures in
compressible and incompressible solids. Classical (primal) phase-field fracture models fail …

Robust preconditioning for a mixed formulation of phase-field fracture problems

T Heister, K Mang, T Wick - arxiv preprint arxiv:2202.04191, 2022 - arxiv.org
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 …

Space-time modeling, analysis, and finite element simulations of phase-field fracture optimal control problems

D Khimin - 2024 - repo.uni-hannover.de
In this dissertation, we introduce for the first time, space-time formulations for phase-field
fracture optimal control problems. We develop the necessary theoretical framework, which …