Research graph
References from A multiscale nested finite element method of phase-field fracture for brittle and quasi-brittle materials. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2013 · External reference
A finite element method for crack growth without remeshing
10.1002/(sici)1097-0207(19990910)46:1<131::aid-nme726>3.0.co;2-j · 1999 · External reference
Reformulation of elasticity theory for discontinuities and long-range forces
10.1016/s0022-5096(99)00029-0 · 2000 · External reference
Revisiting brittle fracture as an energy minimization problem
10.1016/s0022-5096(98)00034-9 · 1998 · External reference
Numerical experiments in revisited brittle fracture
10.1016/s0022-5096(99)00028-9 · 2000 · External reference
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
10.1002/nme.2861 · 2010 · External reference
A unified phase-field theory for the mechanics of damage and quasi-brittle failure
10.1016/j.jmps.2017.03.015 · 2017 · External reference
A geometrically regularized gradient-damage model with energetic equivalence
10.1016/j.cma.2017.09.027 · 2018 · External reference
Phase-field modeling of ductile fracture
10.1007/s00466-015-1151-4 · 2015 · External reference
Phase field simulation for fracture behavior of hyperelastic material at large deformation based on edge-based smoothed finite element method
10.1016/j.engfracmech.2020.107233 · 2020 · External reference
Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver
10.1016/j.cma.2020.113648 · 2021 · External reference
Chemo-mechanical phase-field modeling of dissolution-assisted fracture
10.1016/j.cma.2020.112838 · 2020 · External reference
A phase-field regularized cohesive zone model for hydrogen assisted cracking
10.1016/j.cma.2019.112614 · 2020 · External reference
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations
10.1016/j.cma.2021.114125 · 2021 · External reference
Comprehensive implementations of phase-field damage models in Abaqus
10.1016/j.tafmec.2019.102440 · 2020 · External reference
A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking
10.1007/s11831-021-09604-8 · 2022 · External reference
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
10.1016/j.cma.2019.112790 · 2020 · External reference
Transfer learning enhanced physics informed neural network for phase-field modeling of fracture
10.1016/j.tafmec.2019.102447 · 2020 · External reference
An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture
10.1016/j.cma.2022.115347 · 2022 · External reference
An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture
10.1016/j.cma.2019.112744 · 2020 · External reference
An auto-adaptive sub-stepping algorithm for phase-field modeling of brittle fracture
10.1016/j.tafmec.2020.102622 · 2020 · External reference
Mesoscopic and multiscale modelling in materials
10.1038/s41563-020-00913-0 · 2021 · External reference
Bridging the scales in nano engineering and science
10.1007/s11051-006-9090-9 · 2006 · External reference
An adaptive multiscale phase field method for brittle fracture
10.1016/j.cma.2017.09.021 · 2018 · External reference
A computational library for multiscale modeling of material failure
10.1007/s00466-013-0948-2 · 2014 · External reference
Multiscale modelling and computational strategies for composites
10.1002/nme.960 · 2004 · External reference
FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
10.1016/s0045-7825(99)00224-8 · 2000 · External reference
Multi-scale computational homogenization: Trends and challenges
10.1016/j.cam.2009.08.077 · 2010 · External reference
Computational homogenisation of phase-field fracture
10.1016/j.euromechsol.2021.104247 · 2021 · External reference
Asymptotic homogenization of phase-field fracture model: An efficient multiscale finite element framework for anisotropic fracture
10.1002/nme.7489 · 2024 · External reference
Asymptotic homogenization for phase field fracture of heterogeneous materials and application to toughening
10.1016/j.compstruct.2024.118134 · 2024 · External reference
A multiscale modeling for progressive failure behavior of unidirectional fiber-reinforced composites based on phase-field method
10.1016/j.engfracmech.2024.110517 · 2024 · External reference
A strain gradient phase field model for heterogeneous materials based on two-scale asymptotic homogenization
10.1016/j.jmps.2025.106104 · 2025 · External reference
Effective fracture toughness for heterogeneous materials accounting for the worst-case scenario
10.1016/j.jmps.2025.106333 · 2025 · External reference
On the existence of representative volumes for softening quasi-brittle materials–a failure zone averaging scheme
10.1016/j.cma.2010.06.018 · 2010 · External reference
An enhanced continuous–discontinuous multiscale method for modeling mode-I cohesive failure in random heterogeneous quasi-brittle materials
10.1016/j.engfracmech.2011.10.005 · 2012 · External reference
Finite elements with embedded interphases for strain localization in quasi-brittle materials
10.1016/j.engfracmech.2022.108956 · 2023 · External reference
Gradient damage models and their use to approximate brittle fracture
10.1177/1056789510386852 · 2011 · External reference
A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
10.1016/s0045-7949(98)00131-x · 1998 · External reference
A crack-tracking technique for localized damage in quasi-brittle materials
10.1016/j.engfracmech.2010.06.013 · 2010 · External reference
Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives
2013 · External reference
Unresolved reference
1988 · External reference
Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture
10.1016/j.engfracmech.2019.106532 · 2019 · External reference
Unresolved reference
2001 · External reference
Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
10.1016/j.cma.2003.12.073 · 2004 · External reference
A coupled FEM-VEM approach for crack tracking in quasi-brittle materials
10.1016/j.cma.2025.117756 · 2025 · External reference
A finite element method for crack growth without remeshing
10.1002/(sici)1097-0207(19990910)46:1<131::aid-nme726>3.0.co;2-j · ExternalCitation · doi-reference
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
10.1002/nme.2861 · ExternalCitation · doi-reference
Asymptotic homogenization of phase-field fracture model: An efficient multiscale finite element framework for anisotropic fracture
10.1002/nme.7489 · ExternalCitation · doi-reference
Multiscale modelling and computational strategies for composites
10.1002/nme.960 · ExternalCitation · doi-reference
A computational library for multiscale modeling of material failure
10.1007/s00466-013-0948-2 · ExternalCitation · doi-reference
Phase-field modeling of ductile fracture
10.1007/s00466-015-1151-4 · ExternalCitation · doi-reference
Bridging the scales in nano engineering and science
10.1007/s11051-006-9090-9 · ExternalCitation · doi-reference
A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking
10.1007/s11831-021-09604-8 · ExternalCitation · doi-reference
Multi-scale computational homogenization: Trends and challenges
10.1016/j.cam.2009.08.077 · ExternalCitation · doi-reference
Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
10.1016/j.cma.2003.12.073 · ExternalCitation · doi-reference
On the existence of representative volumes for softening quasi-brittle materials–a failure zone averaging scheme
10.1016/j.cma.2010.06.018 · ExternalCitation · doi-reference
An adaptive multiscale phase field method for brittle fracture
10.1016/j.cma.2017.09.021 · ExternalCitation · doi-reference
A geometrically regularized gradient-damage model with energetic equivalence
10.1016/j.cma.2017.09.027 · ExternalCitation · doi-reference
A phase-field regularized cohesive zone model for hydrogen assisted cracking
10.1016/j.cma.2019.112614 · ExternalCitation · doi-reference
An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture
10.1016/j.cma.2019.112744 · ExternalCitation · doi-reference
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
10.1016/j.cma.2019.112790 · ExternalCitation · doi-reference
Chemo-mechanical phase-field modeling of dissolution-assisted fracture
10.1016/j.cma.2020.112838 · ExternalCitation · doi-reference
Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver
10.1016/j.cma.2020.113648 · ExternalCitation · doi-reference
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations
10.1016/j.cma.2021.114125 · ExternalCitation · doi-reference
An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture
10.1016/j.cma.2022.115347 · ExternalCitation · doi-reference
A coupled FEM-VEM approach for crack tracking in quasi-brittle materials
10.1016/j.cma.2025.117756 · ExternalCitation · doi-reference
Asymptotic homogenization for phase field fracture of heterogeneous materials and application to toughening
10.1016/j.compstruct.2024.118134 · ExternalCitation · doi-reference
A crack-tracking technique for localized damage in quasi-brittle materials
10.1016/j.engfracmech.2010.06.013 · ExternalCitation · doi-reference
An enhanced continuous–discontinuous multiscale method for modeling mode-I cohesive failure in random heterogeneous quasi-brittle materials
10.1016/j.engfracmech.2011.10.005 · ExternalCitation · doi-reference
Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture
10.1016/j.engfracmech.2019.106532 · ExternalCitation · doi-reference
Phase field simulation for fracture behavior of hyperelastic material at large deformation based on edge-based smoothed finite element method
10.1016/j.engfracmech.2020.107233 · ExternalCitation · doi-reference
Finite elements with embedded interphases for strain localization in quasi-brittle materials
10.1016/j.engfracmech.2022.108956 · ExternalCitation · doi-reference
A multiscale modeling for progressive failure behavior of unidirectional fiber-reinforced composites based on phase-field method
10.1016/j.engfracmech.2024.110517 · ExternalCitation · doi-reference
Computational homogenisation of phase-field fracture
10.1016/j.euromechsol.2021.104247 · ExternalCitation · doi-reference
A unified phase-field theory for the mechanics of damage and quasi-brittle failure
10.1016/j.jmps.2017.03.015 · ExternalCitation · doi-reference
A strain gradient phase field model for heterogeneous materials based on two-scale asymptotic homogenization
10.1016/j.jmps.2025.106104 · ExternalCitation · doi-reference
Effective fracture toughness for heterogeneous materials accounting for the worst-case scenario
10.1016/j.jmps.2025.106333 · ExternalCitation · doi-reference
Comprehensive implementations of phase-field damage models in Abaqus
10.1016/j.tafmec.2019.102440 · ExternalCitation · doi-reference
Transfer learning enhanced physics informed neural network for phase-field modeling of fracture
10.1016/j.tafmec.2019.102447 · ExternalCitation · doi-reference
An auto-adaptive sub-stepping algorithm for phase-field modeling of brittle fracture
10.1016/j.tafmec.2020.102622 · ExternalCitation · doi-reference
Revisiting brittle fracture as an energy minimization problem
10.1016/s0022-5096(98)00034-9 · ExternalCitation · doi-reference
Numerical experiments in revisited brittle fracture
10.1016/s0022-5096(99)00028-9 · ExternalCitation · doi-reference
Reformulation of elasticity theory for discontinuities and long-range forces
10.1016/s0022-5096(99)00029-0 · ExternalCitation · doi-reference
FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
10.1016/s0045-7825(99)00224-8 · ExternalCitation · doi-reference
A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
10.1016/s0045-7949(98)00131-x · ExternalCitation · doi-reference
Mesoscopic and multiscale modelling in materials
10.1038/s41563-020-00913-0 · ExternalCitation · doi-reference
Gradient damage models and their use to approximate brittle fracture
10.1177/1056789510386852 · ExternalCitation · doi-reference
