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References from Multiscale topology optimization for fracture resistance via asymptotic homogenization of the hybrid phase field method. Local targets link to admitted publications; unresolved targets remain external evidence.
Review on design and structural optimisation in additive manufacturing: towards next-generation lightweight structures
10.1016/j.matdes.2019.108164 · 2019 · External reference
Design for Additive manufacturing: trends, opportunities, considerations, and constraints
10.1016/j.cirp.2016.05.004 · 2016 · External reference
Optimal shape design as a material distribution problem
10.1007/bf01650949 · 1989 · External reference
A level-set method for shape optimization
10.1016/s1631-073x(02)02412-3 · 2002 · External reference
A level set method for structural topology optimization
10.1016/s0045-7825(02)00559-5 · 2003 · External reference
Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
10.1016/j.cma.2016.07.018 · 2016 · External reference
Doing topology optimization explicitly and geometrically—A new moving morphable components based framework
2014 · External reference
Bidirectional evolutionary method for stiffness optimization
10.2514/2.626 · 1999 · External reference
Computational efficiency and validation of bi-directional evolutionary structural optimisation
10.1016/s0045-7825(99)00309-6 · 2000 · External reference
Multiscale isogeometric topology optimization for lattice materials
10.1016/j.cma.2016.08.015 · 2017 · External reference
Isogeometric topology optimization using trimmed spline surfaces
10.1016/j.cma.2010.06.033 · 2010 · External reference
Controlling the maximum first principal stress in topology optimization
10.1007/s00158-020-02701-5 · 2021 · External reference
Evolutionary topology optimization of continuum structures with stress constraints
10.1007/s00158-018-2090-4 · 2019 · External reference
Design of fracture resistant energy absorbing structures using elastoplastic topology optimization
10.1007/s00158-017-1735-z · 2017 · External reference
Topology optimization of energy absorbing structures with maximum damage constraint
10.1002/nme.5531 · 2017 · External reference
Failure resistant topology optimization of structures using nonlocal elastoplastic-damage model
10.1007/s00158-018-1984-5 · 2018 · External reference
Peridynamic topology optimization to improve fracture resistance of structures
2025 · External reference
Topology optimization to fracture resistance: a review and recent developments
10.1007/s11831-023-10044-9 · 2024 · External reference
Lightweight topology optimization of cracked structures based on the mixed-mode brittle fracture criterion
2025 · External reference
Laws of crack motion and phase-field models of fracture
10.1016/j.jmps.2008.10.012 · 2009 · External reference
Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations
10.1002/nme.2861 · 2010 · External reference
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
10.1016/j.cma.2010.04.011 · 2010 · External reference
A phase-field description of dynamic brittle fracture
10.1016/j.cma.2012.01.008 · 2012 · External reference
Topology optimization for maximizing the fracture resistance of quasi-brittle composites
10.1016/j.cma.2017.12.021 · 2018 · External reference
Fracture resistance design through biomimicry and topology optimization
2020 · External reference
A novel topology optimization formulation for enhancing fracture resistance with a single quasi-brittle material
10.1002/nme.6334 · 2020 · External reference
Topology optimization for enhanced dynamic fracture resistance of structures
10.1016/j.cma.2022.114846 · 2022 · External reference
Topology optimization for energy absorption of quasi-brittle structures undergoing dynamic fractures
10.1016/j.advengsoft.2023.103567 · 2024 · External reference
Level-set topology optimization for ductile and brittle fracture resistance using the phase-field method
10.1016/j.cma.2023.115963 · 2023 · External reference
A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites
10.1016/j.tafmec.2021.102919 · 2021 · External reference
Adaptive topology optimization for enhancing resistance to brittle fracture using the phase field model
10.1016/j.cma.2024.117237 · 2024 · External reference
Optimization for enhancing resistance to brittle fracture using the phase field model integrating strain gradient
2025 · External reference
Interval reliability-based phase-field topology optimization for impact resistance via single-loop sequential strategy
10.1007/s00158-025-04180-y · 2025 · External reference
Robust topology optimization for fracture resistance based on fracture phase field and interval model
10.1016/j.advengsoft.2026.104196 · 2026 · External reference
Design of manufacturable 3D extremal elastic microstructure
10.1016/j.mechmat.2013.09.018 · 2014 · External reference
Numerical investigation of stiffness and buckling response of simple and optimized infill structures
10.1007/s00158-020-02525-3 · 2020 · External reference
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis
10.1016/j.cma.2018.04.031 · 2018 · External reference
Multiscale concurrent topology optimization for thermoelastic structures under design-dependent varying temperature field
10.1007/s00158-023-03649-y · 2023 · External reference
Material nonlinear topology optimization considering the von Mises criterion through an asymptotic approach: max strain energy and max load factor formulations
10.1002/nme.6038 · 2019 · External reference
Concurrent topology optimization of multiscale piezoelectric actuators
10.1016/j.ijsolstr.2024.112664 · 2024 · External reference
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods
10.1016/j.cma.2019.112806 · 2020 · External reference
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques
10.1016/j.cma.2022.114997 · 2022 · 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
Asymptotic homogenization for phase field fracture of heterogeneous materials and application to toughening
10.1016/j.compstruct.2024.118134 · 2024 · External reference
A review on phase-field models of brittle fracture and a new fast hybrid formulation
10.1007/s00466-014-1109-y · 2015 · External reference
Phase field modeling of directional fracture in anisotropic polycrystals
10.1016/j.commatsci.2014.11.009 · 2015 · External reference
Modeling crack propagation in variable stiffness composite laminates using the phase field method
10.1016/j.compstruct.2018.10.083 · 2019 · External reference
Phase field modeling of fracture in fiber reinforced composite laminate
10.1016/j.ijmecsci.2019.07.007 · 2019 · External reference
Phase-field modeling of anisotropic fracture of additively manufactured parts
10.1016/j.engfracmech.2025.111160 · 2025 · External reference
A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
10.1016/j.ijsolstr.2018.02.004 · 2018 · External reference
Adaptive topology optimization of elastoplastic structures
10.1007/bf01278493 · 1998 · External reference
Topology optimization of nonlinear structures under displacement loading
10.1016/j.engstruct.2008.01.009 · 2008 · External reference
Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage
10.1002/nme.5818 · 2018 · External reference
Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima
10.1007/bf01214002 · 1998 · External reference
Achieving minimum length scale in topology optimization using nodal design variables and projection functions
2004 · External reference
A two-scale topology optimization method for functionally graded lattice structures using three families of micro-structures
10.14733/cadaps.2024.179-198 · 2023 · External reference
Topology optimization of functionally-graded lattice structures with buckling constraints
10.1016/j.cma.2019.05.055 · 2019 · External reference
An integrated SIMP-EMsFEM approach for concurrent multiscale optimization of compliance and stress in topology design
10.1007/s00158-025-04144-2 · 2025 · External reference
Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations
10.1002/nme.2861 · ExternalCitation · doi-reference
Topology optimization of energy absorbing structures with maximum damage constraint
10.1002/nme.5531 · ExternalCitation · doi-reference
Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage
10.1002/nme.5818 · ExternalCitation · doi-reference
Material nonlinear topology optimization considering the von Mises criterion through an asymptotic approach: max strain energy and max load factor formulations
10.1002/nme.6038 · ExternalCitation · doi-reference
A novel topology optimization formulation for enhancing fracture resistance with a single quasi-brittle material
10.1002/nme.6334 · ExternalCitation · doi-reference
Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima
10.1007/bf01214002 · ExternalCitation · doi-reference
Adaptive topology optimization of elastoplastic structures
10.1007/bf01278493 · ExternalCitation · doi-reference
Optimal shape design as a material distribution problem
10.1007/bf01650949 · ExternalCitation · doi-reference
Design of fracture resistant energy absorbing structures using elastoplastic topology optimization
10.1007/s00158-017-1735-z · ExternalCitation · doi-reference
Failure resistant topology optimization of structures using nonlocal elastoplastic-damage model
10.1007/s00158-018-1984-5 · ExternalCitation · doi-reference
Evolutionary topology optimization of continuum structures with stress constraints
10.1007/s00158-018-2090-4 · ExternalCitation · doi-reference
Numerical investigation of stiffness and buckling response of simple and optimized infill structures
10.1007/s00158-020-02525-3 · ExternalCitation · doi-reference
Controlling the maximum first principal stress in topology optimization
10.1007/s00158-020-02701-5 · ExternalCitation · doi-reference
Multiscale concurrent topology optimization for thermoelastic structures under design-dependent varying temperature field
10.1007/s00158-023-03649-y · ExternalCitation · doi-reference
An integrated SIMP-EMsFEM approach for concurrent multiscale optimization of compliance and stress in topology design
10.1007/s00158-025-04144-2 · ExternalCitation · doi-reference
Interval reliability-based phase-field topology optimization for impact resistance via single-loop sequential strategy
10.1007/s00158-025-04180-y · ExternalCitation · doi-reference
A review on phase-field models of brittle fracture and a new fast hybrid formulation
10.1007/s00466-014-1109-y · ExternalCitation · doi-reference
Topology optimization to fracture resistance: a review and recent developments
10.1007/s11831-023-10044-9 · ExternalCitation · doi-reference
Topology optimization for energy absorption of quasi-brittle structures undergoing dynamic fractures
10.1016/j.advengsoft.2023.103567 · ExternalCitation · doi-reference
Robust topology optimization for fracture resistance based on fracture phase field and interval model
10.1016/j.advengsoft.2026.104196 · ExternalCitation · doi-reference
Design for Additive manufacturing: trends, opportunities, considerations, and constraints
10.1016/j.cirp.2016.05.004 · ExternalCitation · doi-reference
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
10.1016/j.cma.2010.04.011 · ExternalCitation · doi-reference
Isogeometric topology optimization using trimmed spline surfaces
10.1016/j.cma.2010.06.033 · ExternalCitation · doi-reference
A phase-field description of dynamic brittle fracture
10.1016/j.cma.2012.01.008 · ExternalCitation · doi-reference
Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
10.1016/j.cma.2016.07.018 · ExternalCitation · doi-reference
Multiscale isogeometric topology optimization for lattice materials
10.1016/j.cma.2016.08.015 · ExternalCitation · doi-reference
Topology optimization for maximizing the fracture resistance of quasi-brittle composites
10.1016/j.cma.2017.12.021 · ExternalCitation · doi-reference
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis
10.1016/j.cma.2018.04.031 · ExternalCitation · doi-reference
Topology optimization of functionally-graded lattice structures with buckling constraints
10.1016/j.cma.2019.05.055 · ExternalCitation · doi-reference
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods
10.1016/j.cma.2019.112806 · ExternalCitation · doi-reference
Topology optimization for enhanced dynamic fracture resistance of structures
10.1016/j.cma.2022.114846 · ExternalCitation · doi-reference
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques
10.1016/j.cma.2022.114997 · ExternalCitation · doi-reference
Level-set topology optimization for ductile and brittle fracture resistance using the phase-field method
10.1016/j.cma.2023.115963 · ExternalCitation · doi-reference
Adaptive topology optimization for enhancing resistance to brittle fracture using the phase field model
10.1016/j.cma.2024.117237 · ExternalCitation · doi-reference
Phase field modeling of directional fracture in anisotropic polycrystals
10.1016/j.commatsci.2014.11.009 · ExternalCitation · doi-reference
Modeling crack propagation in variable stiffness composite laminates using the phase field method
10.1016/j.compstruct.2018.10.083 · 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
Phase-field modeling of anisotropic fracture of additively manufactured parts
10.1016/j.engfracmech.2025.111160 · ExternalCitation · doi-reference
Topology optimization of nonlinear structures under displacement loading
10.1016/j.engstruct.2008.01.009 · ExternalCitation · doi-reference
Phase field modeling of fracture in fiber reinforced composite laminate
10.1016/j.ijmecsci.2019.07.007 · ExternalCitation · doi-reference
A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
10.1016/j.ijsolstr.2018.02.004 · ExternalCitation · doi-reference
Concurrent topology optimization of multiscale piezoelectric actuators
10.1016/j.ijsolstr.2024.112664 · ExternalCitation · doi-reference
Laws of crack motion and phase-field models of fracture
10.1016/j.jmps.2008.10.012 · 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
Review on design and structural optimisation in additive manufacturing: towards next-generation lightweight structures
10.1016/j.matdes.2019.108164 · ExternalCitation · doi-reference
Design of manufacturable 3D extremal elastic microstructure
10.1016/j.mechmat.2013.09.018 · ExternalCitation · doi-reference
A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites
10.1016/j.tafmec.2021.102919 · ExternalCitation · doi-reference
A level set method for structural topology optimization
10.1016/s0045-7825(02)00559-5 · ExternalCitation · doi-reference
Computational efficiency and validation of bi-directional evolutionary structural optimisation
10.1016/s0045-7825(99)00309-6 · ExternalCitation · doi-reference
A level-set method for shape optimization
10.1016/s1631-073x(02)02412-3 · ExternalCitation · doi-reference
A two-scale topology optimization method for functionally graded lattice structures using three families of micro-structures
10.14733/cadaps.2024.179-198 · ExternalCitation · doi-reference
Bidirectional evolutionary method for stiffness optimization
10.2514/2.626 · ExternalCitation · doi-reference
