Research graph
References from Cohesive-frictional interphase failure modeling for multi-material topology optimization. Local targets link to admitted publications; unresolved targets remain external evidence.
A mass constraint formulation for structural topology optimization with multiphase materials
10.1002/nme.3197 · 2011 · External reference
Bioinspired structural materials
10.1038/nmat4089 · 2015 · External reference
Generating optimal topologies in structural design using a homogenization method
10.1016/0045-7825(88)90086-2 · 1988 · External reference
A level-set-oriented and problem-independent robust topology optimization strategy based on convolutional neural networks and uncertainty clustering
10.1016/j.cma.2026.118894 · 2026 · External reference
Model-and-data-driven robust concurrent optimization for structural topology and device layout integrating load location and non-design domain effects
10.1016/j.ast.2025.111566 · 2026 · External reference
A novel reliability-oriented concurrent topology optimization framework based on improved sequential decoupling and interval-modeled boundary modification strategies
10.1016/j.compstruct.2026.120211 · 2026 · External reference
Material interpolation schemes in topology optimization
1999 · External reference
Multi-material topology optimization using ordered SIMP interpolation
10.1007/s00158-016-1513-3 · 2017 · External reference
A new multi-material topology optimization algorithm and selection of candidate materials
10.1016/j.cma.2021.114114 · 2021 · External reference
A unified material interpolation for topology optimization of multi-materials
10.1016/j.compstruc.2023.107041 · 2023 · External reference
A multi-material level set-based topology and shape optimization method
10.1016/j.cma.2014.11.002 · 2015 · External reference
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
10.1007/s00466-008-0312-0 · 2009 · External reference
Topology optimization with multiple materials via moving morphable component (MMC) method
10.1002/nme.5714 · 2018 · External reference
Integrated topology optimization of multi-component structures considering connecting interface behavior
10.1016/j.cma.2018.07.001 · 2018 · External reference
Topology optimization of multi-component assemblies and connections
10.1007/s00158-025-04221-6 · 2026 · External reference
Multi-phase structural optimization via a level set method
10.1051/cocv/2013076 · 2014 · External reference
Level set shape and topology optimization of finite strain bilateral contact problems
10.1002/nme.5582 · 2018 · External reference
Topology optimization of coated structures and material interface problems
10.1016/j.cma.2015.02.011 · 2015 · External reference
Topology optimization of shell–infill structures using an erosion-based interface identification method
10.1016/j.cma.2019.05.017 · 2019 · External reference
A simple density filter for the topology optimization of coated structures
10.1080/0305215x.2020.1845326 · 2021 · External reference
Material interface effects on the topology optimization of multi-phase structures using a level set method
10.1007/s00158-014-1074-2 · 2014 · External reference
Topology optimization of multi-material structures with graded interfaces
10.1016/j.cma.2018.09.040 · 2019 · External reference
Topology optimization of multi-material structures with explicitly graded interfaces
10.1016/j.cma.2022.115166 · 2022 · External reference
An improved description of the exponential xu and needleman cohesive zone law for mixed-mode decohesion
10.1016/j.engfracmech.2005.12.006 · 2006 · External reference
Multi-material topology optimization considering interface behavior via XFEM and level set method
10.1016/j.cma.2016.05.016 · 2016 · External reference
Level set topology optimization of structural problems with interface cohesion
10.1002/nme.5540 · 2017 · External reference
Topology optimization to fracture resistance: A review and recent developments
10.1007/s11831-023-10044-9 · 2024 · External reference
Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage
10.1002/nme.5818 · 2018 · External reference
Single variable-based multi-material structural optimization considering interface behavior
10.1016/j.cma.2020.113114 · 2020 · External reference
Incorporating interface effects into multi-material topology optimization by improving interface configuration: An energy-based approach
10.1016/j.cma.2024.117325 · 2024 · External reference
Designing tension-resistant multi-material structures via novel interfacial-effect-considered topology optimization method using material-field series expansion
2026 · External reference
Topology optimization of debonding-resistant composite structures with continuous reinforcement
10.1016/j.cma.2026.119062 · 2026 · External reference
Multi-material structural topology optimization considering material interfacial stress constraints
10.1016/j.cma.2020.112887 · 2020 · External reference
Quadratic stress criterion for initiation of delamination
10.1177/002199838802201205 · 1988 · External reference
Multi-material topology optimization with interfacial stress constraints using body-fitted IGA
10.1007/s00158-026-04307-9 · 2026 · External reference
Topology optimization of multi-material structures considering a piecewise interface stress constraint
10.1016/j.cma.2022.115274 · 2022 · External reference
Integrated optimization of components’ layout and structural topology with considering the interface stress constraint
10.1016/j.cma.2023.116588 · 2024 · External reference
Multi-material topology optimization considering interface stresses under coupled thermal and dynamic loads
10.1016/j.cma.2025.118312 · 2025 · External reference
General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials
10.1016/j.ijsolstr.2015.03.009 · 2015 · External reference
Topology optimization considering the Drucker–Prager criterion with a surrogate nonlinear elastic constitutive model
10.1007/s00158-020-02671-8 · 2020 · External reference
A unified approach for topology optimization with local stress constraints considering various failure criteria: Von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler- Pister and Willam-Warnke
10.1098/rspa.2019.0861 · 2020 · External reference
Filters in topology optimization based on Helmholtz-type differential equations
10.1002/nme.3072 · 2011 · External reference
On projection methods, convergence and robust formulations in topology optimization
10.1007/s00158-010-0602-y · 2011 · External reference
Morphology-based black and white filters for topology optimization
10.1007/s00158-006-0087-x · 2007 · External reference
On an alternative approach to stress constraints relaxation in topology optimization
10.1007/s00158-007-0203-6 · 2008 · External reference
Soil mechanics and plastic analysis or limit design
10.1090/qam/48291 · 1952 · External reference
Unresolved reference
2008 · External reference
Unresolved reference
1998 · External reference
Smooth minimization of non-smooth functions
10.1007/s10107-004-0552-5 · 2005 · External reference
Improved constraint-aggregation methods
10.1016/j.cma.2015.02.017 · 2015 · External reference
Design sensitivity analysis: Overview and review
10.1080/174159794088027573 · 1994 · External reference
The method of moving asymptotes—a new method for structural optimization
10.1002/nme.1620240207 · 1987 · External reference
The method of moving asymptotes—a new method for structural optimization
10.1002/nme.1620240207 · ExternalCitation · doi-reference
Filters in topology optimization based on Helmholtz-type differential equations
10.1002/nme.3072 · ExternalCitation · doi-reference
A mass constraint formulation for structural topology optimization with multiphase materials
10.1002/nme.3197 · ExternalCitation · doi-reference
Level set topology optimization of structural problems with interface cohesion
10.1002/nme.5540 · ExternalCitation · doi-reference
Level set shape and topology optimization of finite strain bilateral contact problems
10.1002/nme.5582 · ExternalCitation · doi-reference
Topology optimization with multiple materials via moving morphable component (MMC) method
10.1002/nme.5714 · 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
Morphology-based black and white filters for topology optimization
10.1007/s00158-006-0087-x · ExternalCitation · doi-reference
On an alternative approach to stress constraints relaxation in topology optimization
10.1007/s00158-007-0203-6 · ExternalCitation · doi-reference
On projection methods, convergence and robust formulations in topology optimization
10.1007/s00158-010-0602-y · ExternalCitation · doi-reference
Material interface effects on the topology optimization of multi-phase structures using a level set method
10.1007/s00158-014-1074-2 · ExternalCitation · doi-reference
Multi-material topology optimization using ordered SIMP interpolation
10.1007/s00158-016-1513-3 · ExternalCitation · doi-reference
Topology optimization considering the Drucker–Prager criterion with a surrogate nonlinear elastic constitutive model
10.1007/s00158-020-02671-8 · ExternalCitation · doi-reference
Topology optimization of multi-component assemblies and connections
10.1007/s00158-025-04221-6 · ExternalCitation · doi-reference
Multi-material topology optimization with interfacial stress constraints using body-fitted IGA
10.1007/s00158-026-04307-9 · ExternalCitation · doi-reference
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
10.1007/s00466-008-0312-0 · ExternalCitation · doi-reference
Smooth minimization of non-smooth functions
10.1007/s10107-004-0552-5 · ExternalCitation · doi-reference
Topology optimization to fracture resistance: A review and recent developments
10.1007/s11831-023-10044-9 · ExternalCitation · doi-reference
Generating optimal topologies in structural design using a homogenization method
10.1016/0045-7825(88)90086-2 · ExternalCitation · doi-reference
Model-and-data-driven robust concurrent optimization for structural topology and device layout integrating load location and non-design domain effects
10.1016/j.ast.2025.111566 · ExternalCitation · doi-reference
A multi-material level set-based topology and shape optimization method
10.1016/j.cma.2014.11.002 · ExternalCitation · doi-reference
Topology optimization of coated structures and material interface problems
10.1016/j.cma.2015.02.011 · ExternalCitation · doi-reference
Improved constraint-aggregation methods
10.1016/j.cma.2015.02.017 · ExternalCitation · doi-reference
Multi-material topology optimization considering interface behavior via XFEM and level set method
10.1016/j.cma.2016.05.016 · ExternalCitation · doi-reference
Integrated topology optimization of multi-component structures considering connecting interface behavior
10.1016/j.cma.2018.07.001 · ExternalCitation · doi-reference
Topology optimization of multi-material structures with graded interfaces
10.1016/j.cma.2018.09.040 · ExternalCitation · doi-reference
Topology optimization of shell–infill structures using an erosion-based interface identification method
10.1016/j.cma.2019.05.017 · ExternalCitation · doi-reference
Multi-material structural topology optimization considering material interfacial stress constraints
10.1016/j.cma.2020.112887 · ExternalCitation · doi-reference
Single variable-based multi-material structural optimization considering interface behavior
10.1016/j.cma.2020.113114 · ExternalCitation · doi-reference
A new multi-material topology optimization algorithm and selection of candidate materials
10.1016/j.cma.2021.114114 · ExternalCitation · doi-reference
Topology optimization of multi-material structures with explicitly graded interfaces
10.1016/j.cma.2022.115166 · ExternalCitation · doi-reference
Topology optimization of multi-material structures considering a piecewise interface stress constraint
10.1016/j.cma.2022.115274 · ExternalCitation · doi-reference
Integrated optimization of components’ layout and structural topology with considering the interface stress constraint
10.1016/j.cma.2023.116588 · ExternalCitation · doi-reference
Incorporating interface effects into multi-material topology optimization by improving interface configuration: An energy-based approach
10.1016/j.cma.2024.117325 · ExternalCitation · doi-reference
Multi-material topology optimization considering interface stresses under coupled thermal and dynamic loads
10.1016/j.cma.2025.118312 · ExternalCitation · doi-reference
A level-set-oriented and problem-independent robust topology optimization strategy based on convolutional neural networks and uncertainty clustering
10.1016/j.cma.2026.118894 · ExternalCitation · doi-reference
Topology optimization of debonding-resistant composite structures with continuous reinforcement
10.1016/j.cma.2026.119062 · ExternalCitation · doi-reference
A unified material interpolation for topology optimization of multi-materials
10.1016/j.compstruc.2023.107041 · ExternalCitation · doi-reference
A novel reliability-oriented concurrent topology optimization framework based on improved sequential decoupling and interval-modeled boundary modification strategies
10.1016/j.compstruct.2026.120211 · ExternalCitation · doi-reference
An improved description of the exponential xu and needleman cohesive zone law for mixed-mode decohesion
10.1016/j.engfracmech.2005.12.006 · ExternalCitation · doi-reference
General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials
10.1016/j.ijsolstr.2015.03.009 · ExternalCitation · doi-reference
Bioinspired structural materials
10.1038/nmat4089 · ExternalCitation · doi-reference
Multi-phase structural optimization via a level set method
10.1051/cocv/2013076 · ExternalCitation · doi-reference
A simple density filter for the topology optimization of coated structures
10.1080/0305215x.2020.1845326 · ExternalCitation · doi-reference
Design sensitivity analysis: Overview and review
10.1080/174159794088027573 · ExternalCitation · doi-reference
Soil mechanics and plastic analysis or limit design
10.1090/qam/48291 · ExternalCitation · doi-reference
A unified approach for topology optimization with local stress constraints considering various failure criteria: Von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler- Pister and Willam-Warnke
10.1098/rspa.2019.0861 · ExternalCitation · doi-reference
Quadratic stress criterion for initiation of delamination
10.1177/002199838802201205 · ExternalCitation · doi-reference
