A novel framework to model the fatigue behavior of brittle materials based on a variational phase-field approach

Abstract

A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation function that effectively reduces the fracture toughness as a proper history variable accumulates. This macroscopic approach allows to reproduce the main known features of fatigue crack growth in brittle materials. Numerical experiments show that the Wöhler curve, the crack growth rate curve and the Paris law are naturally recovered, while the approximate Palmgren-Miner criterion and the monotonic loading condition are obtained as special cases.

References in corpus (2)

• On penalization in variational phase-field models of brittle fracture
• Thermomechanics of damage and fatigue by a phase field model

Cited by in corpus (21)

• A phase field formulation for dissolution-driven stress corrosion cracking
• A unified Abaqus implementation of the phase field fracture method using only a user material subroutine
• An assessment of phase field fracture: crack initiation and growth
• Phase field modelling of fracture and fatigue in Shape Memory Alloys
• Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation
• Overview of phase-field models for fatigue fracture in a unified framework
• Phase Field Modeling of Chemomechanical Fracture of Intercalation Electrodes: Role of Charging Rate and Dimensionality
• Accelerated high-cycle phase field fatigue predictions
• A phase field-based framework for electro-chemo-mechanical fracture: crack-contained electrolytes, chemical reactions and stabilisation
• 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
• On poroelastic strain energy degradation in the variational phase--field models for hydraulic fracture
• Thermodynamically-consistent derivation and computation of twinning and fracture in brittle materials by means of phase-field approaches in the finite element method
• Coupling of the phase field approach to the Armstrong-Frederick model for the simulation of ductile damage under cyclic load
• Crack Path Selection in Orientationally Ordered Composites
• An adaptive acceleration scheme for phase-field fatigue computations
• A variational minimization formulation for hydraulically induced fracturing in elastic-plastic solids
• Calibration and Validation of a Phase-Field Model of Brittle Fracture within the Damage Mechanics Challenge
• Rate- and temperature-dependent ductile-to-brittle fracture transition: Experimental investigation and phase-field analysis for toffee
• A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver
• Variational phase-field modeling of fracture and fatigue in shape memory alloys: a one-dimensional study