183 citations · 390 across the 5 of their papers we have counts for
6 papers
Accelerated high-cycle phase field fatigue predictions
P. K. Kristensen, A. Golahmar, E. Martínez-Pañeda +1
Phase field fracture models have seen widespread application in the last decade. Among these applications, its use to model the evolution of fatigue cracks has attracted particular…
A phase field model for hydrogen-assisted fatigue
Alireza Golahmar, Philip K. Kristensen, Christian F. Niordson +1
We present a new theoretical and numerical phase field-based formulation for predicting hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented enables…
An assessment of phase field fracture: crack initiation and growth
P. K. Kristensen, C. F. Niordson, E. Martínez-Pañeda
The phase field paradigm, in combination with a suitable variational structure, has opened a path for using Griffith's energy balance to predict the fracture of solids. These so-ca…
Applications of phase field fracture in modelling hydrogen assisted failures
P. K. Kristensen, C. F. Niordson, E. Martínez-Pañeda
The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corro…
A phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement
Philip K. Kristensen, Christian F. Niordson, Emilio Martínez-Pañeda
We present a gradient-based theoretical framework for predicting hydrogen assisted fracture in elastic-plastic solids. The novelty of the model lies in the combination of: (i) stre…
Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme
Philip K. Kristensen, Emilio Martínez-Pañeda
We investigate the potential of quasi-Newton methods in facilitating convergence of monolithic solution schemes for phase field fracture modelling. Several paradigmatic boundary va…