Research graph
References from Data-driven multi-objective inverse design of programmable Vorochiral metamaterials for customized orthotic midsoles. Local targets link to admitted publications; unresolved targets remain external evidence.
Advancements in diabetic foot insoles: a comprehensive review of design, manufacturing, and performance evaluation
10.3389/fbioe.2024.1394758 · 2024 · External reference
Diabetic neuropathy
10.1038/s41572-019-0092-1 · 2019 · External reference
Mechanisms of diabetic complications
10.1152/physrev.00045.2011 · 2013 · External reference
Diabetic neuropathies
10.2337/diacare.15.12.1926 · 1992 · External reference
The diabetic foot
10.1093/qjmed/hcn027 · 2008 · External reference
Diabetic foot ulcers
10.1016/s0140-6736(03)13169-8 · 2003 · External reference
Treatment for diabetic foot ulcers
10.1016/s0140-6736(05)67699-4 · 2005 · External reference
A prospective study of risk factors for diabetic foot ulcer. The Seattle Diabetic Foot Study
10.2337/diacare.22.7.1036 · 1999 · External reference
Management of diabetic foot problems
10.1016/j.jvs.2009.08.043 · 2010 · External reference
Diagnosis and treatment of diabetic foot infections
10.1097/01.prs.0000222737.09322.77 · 2006 · External reference
Prevention and treatment of diabetic foot ulcers
10.1177/0141076816688346 · 2017 · External reference
The diabetic foot: Pathophysiology, evaluation, and treatment
10.1053/j.semvascsurg.2019.02.001 · 2018 · External reference
The global burden of diabetic foot disease
10.1016/s0140-6736(05)67698-2 · 2005 · External reference
I.E. Board, Practical guidelines on the prevention and management of diabetic foot disease (IWGDF 2019 update)
10.1002/dmrr.3266 · 2020 · External reference
Etiology, epidemiology, and disparities in the burden of diabetic foot ulcers
10.2337/dci22-0043 · 2022 · External reference
Diabetic foot prevention, assessment, and management using innovative smart wearable technology: a systematic review
10.1186/s12984-025-01695-9 · 2025 · External reference
Design of three-dimensional Voronoi strut midsoles driven by plantar pressure distribution
2022 · External reference
Multi-objective design and optimization of high cushioning bionic shoe midsole under limited thickness of forefoot
10.1016/j.compstruct.2023.117560 · 2023 · External reference
The mechanical response of polymeric gyroid structures in an optimised orthotic insole
10.1007/s10237-024-01912-9 · 2025 · External reference
3D printed sports shoe Midsoles: Enhancing comfort and performance through finite element analysis of negative Poisson’s ratio structures
10.1016/j.matdes.2024.113292 · 2024 · External reference
Effects of badminton insole design on stress distribution, displacement and bone rotation of ankle joint during single-leg landing: a finite element analysis
10.1080/14763141.2022.2086168 · 2024 · External reference
Additively manufactured 3D auxetic metamaterials for structurally guided capacitive and resistive tactile sensing
2025 · External reference
Static and dynamic optimisation of fluid-filled responsive orthotic insoles
10.1007/s10237-025-01935-w · 2025 · External reference
Multidisciplinary optimization of shoe midsole structures using swarm intelligence
10.1007/s00158-024-03845-4 · 2024 · External reference
An active insole to reduce plantar pressure loading: Using predictive finite element driven soft hydraulic actuators to minimize plantar pressure and the pressure time integral for diabetic foot ulceration risk management
10.1109/tbme.2025.3554888 · 2025 · External reference
Characterization of 3D printed re-entrant midsole structure with various infill density and print direction
10.1038/s41598-025-27421-y · 2025 · External reference
A multidisciplinary review on footwear 3D printing: From biomechanics to therapeutics
2025 · External reference
3D printing of active mechanical metamaterials: A critical review
10.1016/j.matdes.2024.113305 · 2024 · External reference
A review on the mechanical metamaterials and their applications in the field of biomedical engineering
10.3389/fmats.2023.1273961 · 2023 · External reference
Mechanical metamaterials and beyond
10.1038/s41467-023-41679-8 · 2023 · External reference
Multi-physical lattice metamaterials enabled by additive manufacturing: Design principles, interaction mechanisms, and multifunctional applications
2025 · External reference
Flexible mechanical metamaterials
10.1038/natrevmats.2017.66 · 2017 · External reference
Mechanical meta-materials
10.1039/c6mh00065g · 2016 · External reference
Programmable multi-physical mechanics of mechanical metamaterials
10.1016/j.mser.2023.100745 · 2023 · External reference
Foundations for soft, smart matter by active mechanical metamaterials
10.1002/advs.202001384 · 2020 · External reference
Mechanical metamaterials with negative Poisson’s ratio: A review
10.1016/j.engstruct.2025.119838 · 2025 · External reference
Fabrication and development of mechanical metamaterials via additive manufacturing for biomedical applications: A review
2024 · External reference
Recent advances in reinforced honeycomb mechanical metamaterials: a review
10.1016/j.matdes.2026.115593 · 2026 · External reference
A comprehensive review on energy-absorbing mechanical metamaterials: From mechanisms to applications
10.1016/j.compositesb.2025.113222 · 2026 · External reference
Construction of mechanical metamaterials and their extraordinary functions
10.1016/j.compstruct.2025.118872 · 2025 · External reference
Design, mechanical evaluation, and wear trial of 3D printed insole for plantar off-loading in older adults with diabetes
10.1016/j.gaitpost.2026.110102 · 2026 · External reference
A novel random chiral metamaterial with multi-step plateau: Vorochiral metamaterial
10.1016/j.ijmecsci.2026.111438 · 2026 · External reference
Plantar pressure gradient and pressure gradient angle are affected by inner pressure of air insole
10.3389/fbioe.2024.1353888 · 2024 · External reference
Optimised cushioning in diabetic footwear can significantly enhance their capacity to reduce plantar pressure
10.1016/j.gaitpost.2020.05.009 · 2020 · External reference
Insoles of uniform softer material reduced plantar pressure compared to dual-material insoles during regular and loaded gait
10.1016/j.apergo.2020.103298 · 2021 · External reference
Custom orthotic insoles with gradual variable stiffness using 3D printed spacer technique
10.1080/17452759.2024.2336151 · 2024 · External reference
A novel multi-cell square tubal structure based on Voronoi tessellation for enhanced crashworthiness
10.1016/j.tws.2020.106690 · 2020 · External reference
An optimized lozenge-chiral auxetic metamaterial with tunable auxeticity and stiffness
10.1016/j.matdes.2023.112530 · 2024 · External reference
Bio-inspired graded lattices for enhanced energy absorption
10.1016/j.ijmecsci.2026.111217 · 2026 · External reference
Generative inverse design of metamaterials with customized stress-strain response
10.1016/j.ijmecsci.2025.110875 · 2025 · External reference
Study on design and impact energy absorption of network Voronoi lattice structure with directional regulation of load transfer paths
10.1016/j.tws.2025.113920 · 2026 · External reference
Data-driven inverse design of novel spinodoid bone scaffolds with highly matched mechanical properties in three orthogonal directions
10.1016/j.matdes.2025.113697 · 2025 · External reference
Inverse multi-objective design of three-dimensional plate-based heterogeneous mechanical metamaterials
10.1016/j.ijmecsci.2026.111253 · 2026 · External reference
Machine-learning-powered, rapid, accurate, and multi-target mechanical metamaterials inverse design
10.1002/smll.202500634 · 2025 · External reference
Data-driven multi-objective optimization and integrated realization of high-performance lattice structures: design, manufacturing, and experimental validation
10.1016/j.engstruct.2025.121544 · 2025 · External reference
Inverse design of TPMS lattices with targeted phononic bandgaps using multi-objective Bayesian optimization
10.1016/j.matdes.2026.115891 · 2026 · External reference
X. (Rayne) Zheng, Multi-objective automatic discovery of optimized metamaterials for varying velocity impact protection
10.1016/j.matdes.2025.114657 · 2025 · External reference
Machine learning – enabled inverse design of shell-based lattice metamaterials with optimal sound and energy absorption
10.1080/17452759.2024.2412198 · 2024 · External reference
Machine learning-driven customizable mechanical design of diamond plate lattice metamaterials
10.1016/j.ijmecsci.2025.111140 · 2026 · External reference
Boosting energy return using 3D printed midsoles designed with compliant constant force mechanisms
10.1115/1.4064164 · 2024 · External reference
Rapid inverse design of metamaterials based on prescribed mechanical behavior through machine learning
10.1038/s41467-023-40854-1 · 2023 · External reference
Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs
10.1016/s0022-5096(00)00046-6 · 2001 · External reference
The geometrical properties of irregular two-dimensional Voronoi tessellations
10.1080/01418610010032364 · 2001 · External reference
Learning representations by back-propagating errors
10.1038/323533a0 · 1986 · External reference
Rapid prediction of effective absorption bandwidth in PEEK/CF additive manufacturing metastructure via interpretable machine learning
10.1016/j.jmst.2025.03.060 · 2025 · External reference
Recent advances in machine learning-assisted design of additive manufacturing metastructures: a review
10.1016/j.compstruct.2025.119525 · 2025 · External reference
A fast and elitist multiobjective genetic algorithm: NSGA-II
10.1109/4235.996017 · 2002 · External reference
A comprehensive survey on NSGA-II for multi-objective optimization and applications
10.1007/s10462-023-10526-z · 2023 · External reference
Rheological performance evaluation of activated carbon powder modified asphalt based on TOPSIS method
2024 · External reference
The behavioral TOPSIS based on prospect theory and regret theory
10.1142/s0219622022500778 · 2023 · External reference
Developing a fuzzy TOPSIS approach based on subjective weights and objective weights
10.1016/j.eswa.2008.11.035 · 2009 · External reference
On the effect of subjective, objective and combinative weighting in multiple criteria decision making: a case study on impact optimization of composites
10.1016/j.eswa.2015.11.003 · 2016 · External reference
Integrated AHP & TOPSIS methodology using intuitionistic Z-numbers: an application on hydrogen storage technology selection
10.1016/j.eswa.2023.122382 · 2024 · External reference
Microwave absorption optimization via additive manufacturing: process-dependent mechanisms of electromagnetic attenuation
10.1016/j.carbon.2025.120795 · 2025 · External reference
Enhancing microwave absorption of bio-inspired structure through 3D printed concentric infill pattern
10.1016/j.compositesb.2024.111924 · 2025 · External reference
Comprehensive unraveling of CT-derived defect characteristics in fused deposition modeling via machine learning: clustering, classification, regression and process correlation
10.1016/j.compositesa.2026.109942 · 2026 · External reference
Foundations for soft, smart matter by active mechanical metamaterials
10.1002/advs.202001384 · ExternalCitation · doi-reference
I.E. Board, Practical guidelines on the prevention and management of diabetic foot disease (IWGDF 2019 update)
10.1002/dmrr.3266 · ExternalCitation · doi-reference
Machine-learning-powered, rapid, accurate, and multi-target mechanical metamaterials inverse design
10.1002/smll.202500634 · ExternalCitation · doi-reference
Multidisciplinary optimization of shoe midsole structures using swarm intelligence
10.1007/s00158-024-03845-4 · ExternalCitation · doi-reference
The mechanical response of polymeric gyroid structures in an optimised orthotic insole
10.1007/s10237-024-01912-9 · ExternalCitation · doi-reference
Static and dynamic optimisation of fluid-filled responsive orthotic insoles
10.1007/s10237-025-01935-w · ExternalCitation · doi-reference
A comprehensive survey on NSGA-II for multi-objective optimization and applications
10.1007/s10462-023-10526-z · ExternalCitation · doi-reference
Insoles of uniform softer material reduced plantar pressure compared to dual-material insoles during regular and loaded gait
10.1016/j.apergo.2020.103298 · ExternalCitation · doi-reference
Microwave absorption optimization via additive manufacturing: process-dependent mechanisms of electromagnetic attenuation
10.1016/j.carbon.2025.120795 · ExternalCitation · doi-reference
Comprehensive unraveling of CT-derived defect characteristics in fused deposition modeling via machine learning: clustering, classification, regression and process correlation
10.1016/j.compositesa.2026.109942 · ExternalCitation · doi-reference
Enhancing microwave absorption of bio-inspired structure through 3D printed concentric infill pattern
10.1016/j.compositesb.2024.111924 · ExternalCitation · doi-reference
A comprehensive review on energy-absorbing mechanical metamaterials: From mechanisms to applications
10.1016/j.compositesb.2025.113222 · ExternalCitation · doi-reference
Multi-objective design and optimization of high cushioning bionic shoe midsole under limited thickness of forefoot
10.1016/j.compstruct.2023.117560 · ExternalCitation · doi-reference
Construction of mechanical metamaterials and their extraordinary functions
10.1016/j.compstruct.2025.118872 · ExternalCitation · doi-reference
Recent advances in machine learning-assisted design of additive manufacturing metastructures: a review
10.1016/j.compstruct.2025.119525 · ExternalCitation · doi-reference
Mechanical metamaterials with negative Poisson’s ratio: A review
10.1016/j.engstruct.2025.119838 · ExternalCitation · doi-reference
Data-driven multi-objective optimization and integrated realization of high-performance lattice structures: design, manufacturing, and experimental validation
10.1016/j.engstruct.2025.121544 · ExternalCitation · doi-reference
Developing a fuzzy TOPSIS approach based on subjective weights and objective weights
10.1016/j.eswa.2008.11.035 · ExternalCitation · doi-reference
On the effect of subjective, objective and combinative weighting in multiple criteria decision making: a case study on impact optimization of composites
10.1016/j.eswa.2015.11.003 · ExternalCitation · doi-reference
Integrated AHP & TOPSIS methodology using intuitionistic Z-numbers: an application on hydrogen storage technology selection
10.1016/j.eswa.2023.122382 · ExternalCitation · doi-reference
Optimised cushioning in diabetic footwear can significantly enhance their capacity to reduce plantar pressure
10.1016/j.gaitpost.2020.05.009 · ExternalCitation · doi-reference
Design, mechanical evaluation, and wear trial of 3D printed insole for plantar off-loading in older adults with diabetes
10.1016/j.gaitpost.2026.110102 · ExternalCitation · doi-reference
Generative inverse design of metamaterials with customized stress-strain response
10.1016/j.ijmecsci.2025.110875 · ExternalCitation · doi-reference
Machine learning-driven customizable mechanical design of diamond plate lattice metamaterials
10.1016/j.ijmecsci.2025.111140 · ExternalCitation · doi-reference
Bio-inspired graded lattices for enhanced energy absorption
10.1016/j.ijmecsci.2026.111217 · ExternalCitation · doi-reference
Inverse multi-objective design of three-dimensional plate-based heterogeneous mechanical metamaterials
10.1016/j.ijmecsci.2026.111253 · ExternalCitation · doi-reference
A novel random chiral metamaterial with multi-step plateau: Vorochiral metamaterial
10.1016/j.ijmecsci.2026.111438 · ExternalCitation · doi-reference
Rapid prediction of effective absorption bandwidth in PEEK/CF additive manufacturing metastructure via interpretable machine learning
10.1016/j.jmst.2025.03.060 · ExternalCitation · doi-reference
Management of diabetic foot problems
10.1016/j.jvs.2009.08.043 · ExternalCitation · doi-reference
An optimized lozenge-chiral auxetic metamaterial with tunable auxeticity and stiffness
10.1016/j.matdes.2023.112530 · ExternalCitation · doi-reference
3D printed sports shoe Midsoles: Enhancing comfort and performance through finite element analysis of negative Poisson’s ratio structures
10.1016/j.matdes.2024.113292 · ExternalCitation · doi-reference
3D printing of active mechanical metamaterials: A critical review
10.1016/j.matdes.2024.113305 · ExternalCitation · doi-reference
Data-driven inverse design of novel spinodoid bone scaffolds with highly matched mechanical properties in three orthogonal directions
10.1016/j.matdes.2025.113697 · ExternalCitation · doi-reference
X. (Rayne) Zheng, Multi-objective automatic discovery of optimized metamaterials for varying velocity impact protection
10.1016/j.matdes.2025.114657 · ExternalCitation · doi-reference
Recent advances in reinforced honeycomb mechanical metamaterials: a review
10.1016/j.matdes.2026.115593 · ExternalCitation · doi-reference
Inverse design of TPMS lattices with targeted phononic bandgaps using multi-objective Bayesian optimization
10.1016/j.matdes.2026.115891 · ExternalCitation · doi-reference
Programmable multi-physical mechanics of mechanical metamaterials
10.1016/j.mser.2023.100745 · ExternalCitation · doi-reference
A novel multi-cell square tubal structure based on Voronoi tessellation for enhanced crashworthiness
10.1016/j.tws.2020.106690 · ExternalCitation · doi-reference
Study on design and impact energy absorption of network Voronoi lattice structure with directional regulation of load transfer paths
10.1016/j.tws.2025.113920 · ExternalCitation · doi-reference
Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs
10.1016/s0022-5096(00)00046-6 · ExternalCitation · doi-reference
Diabetic foot ulcers
10.1016/s0140-6736(03)13169-8 · ExternalCitation · doi-reference
The global burden of diabetic foot disease
10.1016/s0140-6736(05)67698-2 · ExternalCitation · doi-reference
Treatment for diabetic foot ulcers
10.1016/s0140-6736(05)67699-4 · ExternalCitation · doi-reference
Learning representations by back-propagating errors
10.1038/323533a0 · ExternalCitation · doi-reference
Flexible mechanical metamaterials
10.1038/natrevmats.2017.66 · ExternalCitation · doi-reference
Rapid inverse design of metamaterials based on prescribed mechanical behavior through machine learning
10.1038/s41467-023-40854-1 · ExternalCitation · doi-reference
Mechanical metamaterials and beyond
10.1038/s41467-023-41679-8 · ExternalCitation · doi-reference
Diabetic neuropathy
10.1038/s41572-019-0092-1 · ExternalCitation · doi-reference
Characterization of 3D printed re-entrant midsole structure with various infill density and print direction
10.1038/s41598-025-27421-y · ExternalCitation · doi-reference
Mechanical meta-materials
10.1039/c6mh00065g · ExternalCitation · doi-reference
The diabetic foot: Pathophysiology, evaluation, and treatment
10.1053/j.semvascsurg.2019.02.001 · ExternalCitation · doi-reference
The geometrical properties of irregular two-dimensional Voronoi tessellations
10.1080/01418610010032364 · ExternalCitation · doi-reference
Effects of badminton insole design on stress distribution, displacement and bone rotation of ankle joint during single-leg landing: a finite element analysis
10.1080/14763141.2022.2086168 · ExternalCitation · doi-reference
Custom orthotic insoles with gradual variable stiffness using 3D printed spacer technique
10.1080/17452759.2024.2336151 · ExternalCitation · doi-reference
Machine learning – enabled inverse design of shell-based lattice metamaterials with optimal sound and energy absorption
10.1080/17452759.2024.2412198 · ExternalCitation · doi-reference
The diabetic foot
10.1093/qjmed/hcn027 · ExternalCitation · doi-reference
Diagnosis and treatment of diabetic foot infections
10.1097/01.prs.0000222737.09322.77 · ExternalCitation · doi-reference
A fast and elitist multiobjective genetic algorithm: NSGA-II
10.1109/4235.996017 · ExternalCitation · doi-reference
An active insole to reduce plantar pressure loading: Using predictive finite element driven soft hydraulic actuators to minimize plantar pressure and the pressure time integral for diabetic foot ulceration risk management
10.1109/tbme.2025.3554888 · ExternalCitation · doi-reference
Boosting energy return using 3D printed midsoles designed with compliant constant force mechanisms
10.1115/1.4064164 · ExternalCitation · doi-reference
The behavioral TOPSIS based on prospect theory and regret theory
10.1142/s0219622022500778 · ExternalCitation · doi-reference
Mechanisms of diabetic complications
10.1152/physrev.00045.2011 · ExternalCitation · doi-reference
Prevention and treatment of diabetic foot ulcers
10.1177/0141076816688346 · ExternalCitation · doi-reference
Diabetic foot prevention, assessment, and management using innovative smart wearable technology: a systematic review
10.1186/s12984-025-01695-9 · ExternalCitation · doi-reference
Etiology, epidemiology, and disparities in the burden of diabetic foot ulcers
10.2337/dci22-0043 · ExternalCitation · doi-reference
Diabetic neuropathies
10.2337/diacare.15.12.1926 · ExternalCitation · doi-reference
A prospective study of risk factors for diabetic foot ulcer. The Seattle Diabetic Foot Study
10.2337/diacare.22.7.1036 · ExternalCitation · doi-reference
Plantar pressure gradient and pressure gradient angle are affected by inner pressure of air insole
10.3389/fbioe.2024.1353888 · ExternalCitation · doi-reference
Advancements in diabetic foot insoles: a comprehensive review of design, manufacturing, and performance evaluation
10.3389/fbioe.2024.1394758 · ExternalCitation · doi-reference
A review on the mechanical metamaterials and their applications in the field of biomedical engineering
10.3389/fmats.2023.1273961 · ExternalCitation · doi-reference
