Overview of phase-field models for fatigue fracture in a unified framework

Abstract

In the last ten years, the phase-field method has gained much attention as a novel method to simulate fracture due to its straightforward way allowing to cover crack initiation and propagation without additional conditions. More recently, it has also been applied to fatigue fracture due to cyclic loading. This publication gives an overview of the main phase-field fatigue models published to date. We present all models in a unified variational framework for best comparability. Subsequently, the models are compared regarding their most important features. It becomes apparent that they can be classified in mainly two categories according to the way fatigue is implemented in the model - that is as a gradual degradation of the fracture toughness or with an additional term in the crack driving force. We aim to provide a helpful guide for choosing the appropriate model for different applications and for developing existing models further.

References in corpus (4)

• Phase-Field Models for Fatigue Crack Growth
• Phase-field modelling for fatigue crack growth under laser-shock-peening-induced residual stresses
• Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation
• Coupling of the phase field approach to the Armstrong-Frederick model for the simulation of ductile damage under cyclic load

Cited by in corpus (4)

• An adaptive acceleration scheme for phase-field fatigue computations
• Rate- and temperature-dependent ductile-to-brittle fracture transition: Experimental investigation and phase-field analysis for toffee
• From ductile damage to unilateral contact via point-wise implicit discontinuity at the infinitesimal element level
• A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture