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

DOI10.1016/j.cma.2019.112731zbMath1442.74195arXiv1811.02244OpenAlexW2899766161WikidataQ126787364 ScholiaQ126787364MaRDI QIDQ2176915

Roberto Alessi, Marreddy Ambati, P. Carrara, Laura De Lorenzis

Publication date: 6 May 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02244

zbMATH Keywords

modelingbrittle fracturephase-field modelsfatigueParis lawWöhler curve

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Related Items (39)

Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials ⋮ Phase-field fracture incorporating cohesive adhesion failure mechanisms within the representative crack element framework ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Phase-field modeling of fracture in high performance concrete during low-cycle fatigue: numerical calibration and experimental validation ⋮ A local to global (L2G) finite element method for efficient and robust analysis of arbitrary cracking in 2D solids ⋮ Coupled sliding-decohesion-compression model for a consistent description of monotonic and fatigue behavior of material interfaces ⋮ A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials ⋮ A ductile phase-field model based on degrading the fracture toughness: theory and implementation at small strain ⋮ Phase field modeling of brittle fracture in large-deformation solid shells with the efficient quasi-Newton solution and global-local approach ⋮ A phase field model for fatigue fracture in piezoelectric solids: a residual controlled staggered scheme ⋮ Employing phase‐field descriptions of cohesive zone placements in cohesive fracture simulations ⋮ Phase‐field modeling of brittle fracture along the thickness direction of plates and shells ⋮ An acceleration scheme for the phase field fatigue fracture simulation with a concurrent temporal homogenization method ⋮ On poroelastic strain energy degradation in the variational phase-field models for hydraulic fracture ⋮ Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation ⋮ A phase field-based framework for electro-chemo-mechanical fracture: crack-contained electrolytes, chemical reactions and stabilisation ⋮ Adaptive phase-field modelling of fracture propagation in poroelastic media using the scaled boundary finite element method ⋮ An enriched phase-field method for the efficient simulation of fracture processes ⋮ Accelerated high-cycle phase field fatigue predictions ⋮ An efficient phase-field model for fatigue fracture in viscoelastic solids using cyclic load decomposition and damage superposition ⋮ Phase field cohesive zone modeling for fatigue crack propagation in quasi-brittle materials ⋮ Phase-field fracture modeling for unidirectional fiber-reinforced polymer composites ⋮ Phase-field description of fracture in NiTi single crystals ⋮ An anisotropic phase-field model based on the equivalent crack surface energy density at finite strain ⋮ A computational framework for low-cycle fatigue in polycrystalline materials ⋮ Variational phase-field fracture modeling with interfaces ⋮ Accelerating fatigue simulations of a phase-field damage model for rubber ⋮ Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation ⋮ Phase field modelling of fracture and fatigue in shape memory alloys ⋮ A computational multi-scale model for the stiffness degradation of short-fiber reinforced plastics subjected to fatigue loading ⋮ A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures ⋮ A general phase-field model for fatigue failure in brittle and ductile solids ⋮ A multiscale high-cycle fatigue-damage model for the stiffness degradation of fiber-reinforced materials based on a mixed variational framework ⋮ Mesh refinement procedures for the phase field approach to brittle fracture ⋮ A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver ⋮ A thermodynamically consistent finite strain phase field approach to ductile fracture considering multi-axial stress states ⋮ Variational crack phase-field model for ductile fracture with elastic and plastic damage variables ⋮ Research on crack propagation of 3D printed material with complex cracks based on the phase-field fracture model ⋮ Architecture of a multi-crack model with full closing, reopening and sliding capabilities

Uses Software

• PROCRACK

Cites Work

• Unnamed Item
• Unnamed Item
• Damage and fatigue described by a fractional derivative model
• Regularized variational theories of fracture: a unified approach
• Modeling and analysis of structures made of no-tension material
• From rate-dependent to rate-independent brittle crack propagation
• Justification of Paris-type fatigue laws from cohesive forces model via a variational approach
• Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
• The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris
• Fatigue of structures and materials in the 20th century and the state of the art
• Numerical experiments in revisited brittle fracture
• Continuum approach for modelling transversely isotropic high-cycle fatigue
• Revisiting brittle fracture as an energy minimization problem
• On penalization in variational phase-field models of brittle fracture
• A review on phase-field models of brittle fracture and a new fast hybrid formulation
• A non-isothermal thermodynamically consistent phase field framework for structural damage and fatigue
• Rate-independent systems. Theory and application
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• On the non-local approximation of free-discontinuity problems
• Procrack: A Software for Simulating Three-Dimensional Fatigue Crack Growth
• VI. The phenomena of rupture and flow in solids

This page was built for publication: A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach