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References from Differentiable nonlinear analysis for structural optimization with geometric and material nonlinearities. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2003 · External reference
Unresolved reference
2008 · External reference
Structural optimization in civil engineering: a literature review
10.3390/buildings11020066 · 2021 · External reference
Form-finding of tensegrity structures via rank minimization of force density matrix
10.1016/j.engstruct.2020.111419 · 2021 · External reference
Optimal topologies in case of probabilistic loading: the influence of load correlation
10.1080/15397730902936328 · 2009 · External reference
Reliability based bi-directional evolutionary topology optimization of geometric and material nonlinear analysis with imperfections
2023 · External reference
An investigation of the recent developments in reliability-based structural topology optimization
2023 · External reference
Optimizing structural topology design through consideration of fatigue crack propagation
10.1016/j.cma.2023.116629 · 2024 · External reference
Thermo-mechanical reliability-based topology optimization for imperfect elasto-plastic materials
2025 · External reference
Topology-finding of tensegrity structures considering global stability condition
10.1061/(asce)st.1943-541x.0002843 · 2020 · External reference
Multi-material topology optimization for maximizing structural stability under thermo-mechanical loading
10.1016/j.cma.2023.115938 · 2023 · External reference
Stiffness ratio evaluation of steel exoskeletons through performance-based optimal design
2024 · External reference
Optimal design of steel exoskeleton for the retrofitting of RC buildings via genetic algorithm
10.1016/j.compstruc.2024.107396 · 2024 · External reference
Performance-based optimization of steel exoskeletons: an alternative approach to standard regulations
2025 · External reference
Minimal mass design of active tensegrity structures
10.1016/j.engstruct.2021.111965 · 2021 · External reference
Constructability-based design approach for steel structures: from truss beams to real-world inspired industrial buildings
10.1016/j.autcon.2024.105630 · 2024 · External reference
Sustainable and cost-effective optimal design of steel structures by minimizing cutting trim losses
10.1016/j.autcon.2024.105724 · 2024 · External reference
Topology optimization of multi-material active structures to reduce energy consumption and carbon footprint
10.1007/s00158-023-03698-3 · 2024 · External reference
Topology optimization of adaptive structures: new limits of material economy
10.1016/j.cma.2023.116710 · 2024 · External reference
On the usefulness of non-gradient approaches in topology optimization
10.1007/s00158-011-0638-7 · 2011 · External reference
Comparison of gradient and nongradient algorithms in the structural optimization course
10.1177/0306419018775437 · 2019 · External reference
Structural optimization using sensitivity analysis and a level-set method
10.1016/j.jcp.2003.09.032 · 2004 · External reference
Artificial intelligence for design of spatial structures and joints: a state-of-the-art review
2026 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2014 · External reference
Advanced elasto-plastic topology optimization of steel beams under elevated temperatures
10.1016/j.advengsoft.2024.103596 · 2024 · External reference
An efficient method for nonlinear inelastic truss optimization based on improved k-nearest neighbor comparison and rao algorithm
10.1016/j.istruc.2024.108158 · 2025 · External reference
Gradient-based structural optimization with geometric nonlinearity and dynamics via differentiable analysis
10.1016/j.rineng.2026.112482 · 2026 · External reference
Stiffness design of geometrically nonlinear structures using topology optimization
10.1007/s001580050089 · 2000 · External reference
Structural optimization for nonlinear dynamic response
10.1098/rsta.2014.0408 · 2015 · External reference
Generalized displacement control analysis and optimal design of geometrically nonlinear space structures
10.1142/s0219876221430180 · 2023 · External reference
A machine learning-based surrogate model for optimization of truss structures with geometrically nonlinear behavior
10.1016/j.finel.2021.103572 · 2021 · External reference
Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity
10.1002/nme.1620371408 · 1994 · External reference
Unresolved reference
2012 · External reference
Automated design optimization framework for geometrically nonlinear and dynamic structures based on a differentiable finite particle method
10.1016/j.cacaie.2026.100052 · 2026 · External reference
A review of automatic differentiation and its efficient implementation
10.1002/widm.1305 · 2019 · External reference
JAX-fluids: a fully-differentiable high-order computational fluid dynamics solver for compressible two-phase flows
10.1016/j.cpc.2022.108527 · 2023 · External reference
A differentiable physics engine for deep learning in robotics
10.3389/fnbot.2019.00006 · 2019 · External reference
Unresolved reference
External reference
Auto: a framework for automatic differentiation in topology optimization
10.1007/s00158-021-03025-8 · 2021 · External reference
JAX-FEM: a differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science
10.1016/j.cpc.2023.108802 · 2023 · External reference
A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebra
10.1007/s00158-023-03601-0 · 2023 · External reference
A differentiable structural analysis framework for high-performance design optimization
10.1016/j.istruc.2025.109292 · 2025 · External reference
FEniTop: a simple FEniCSx implementation for 2D and 3D topology optimization supporting parallel computing
10.1007/s00158-024-03818-7 · 2024 · External reference
Automatic differentiation–enabled structural optimization involving generalized eigenvalue analysis: free vibration and linearized buckling
2026 · External reference
The art of differentiating computer programs: an introduction to algorithmic differentiation
2011 · External reference
Unresolved reference
1998 · External reference
Systematic control design by optimizing a vector performance index
1980 · External reference
Introduction to PyTorch
2021 · External reference
The method of moving asymptotes–A new method for structural optimization
10.1002/nme.1620240207 · 1987 · External reference
Deep Graph Learning for Rapid End‐to‐End Prestress Determination of Tensegrity and Cable‐Strut Tensile Structures
10.1155/stc/6671567 · 2026 · External reference
Physics-informed graph neural networks for minimal mass design of cable-strut structures
2026 · External reference
The method of moving asymptotes–A new method for structural optimization
10.1002/nme.1620240207 · ExternalCitation · doi-reference
Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity
10.1002/nme.1620371408 · ExternalCitation · doi-reference
A review of automatic differentiation and its efficient implementation
10.1002/widm.1305 · ExternalCitation · doi-reference
On the usefulness of non-gradient approaches in topology optimization
10.1007/s00158-011-0638-7 · ExternalCitation · doi-reference
Auto: a framework for automatic differentiation in topology optimization
10.1007/s00158-021-03025-8 · ExternalCitation · doi-reference
A framework for structural shape optimization based on automatic differentiation, the adjoint method and accelerated linear algebra
10.1007/s00158-023-03601-0 · ExternalCitation · doi-reference
Topology optimization of multi-material active structures to reduce energy consumption and carbon footprint
10.1007/s00158-023-03698-3 · ExternalCitation · doi-reference
FEniTop: a simple FEniCSx implementation for 2D and 3D topology optimization supporting parallel computing
10.1007/s00158-024-03818-7 · ExternalCitation · doi-reference
Stiffness design of geometrically nonlinear structures using topology optimization
10.1007/s001580050089 · ExternalCitation · doi-reference
Advanced elasto-plastic topology optimization of steel beams under elevated temperatures
10.1016/j.advengsoft.2024.103596 · ExternalCitation · doi-reference
Constructability-based design approach for steel structures: from truss beams to real-world inspired industrial buildings
10.1016/j.autcon.2024.105630 · ExternalCitation · doi-reference
Sustainable and cost-effective optimal design of steel structures by minimizing cutting trim losses
10.1016/j.autcon.2024.105724 · ExternalCitation · doi-reference
Automated design optimization framework for geometrically nonlinear and dynamic structures based on a differentiable finite particle method
10.1016/j.cacaie.2026.100052 · ExternalCitation · doi-reference
Multi-material topology optimization for maximizing structural stability under thermo-mechanical loading
10.1016/j.cma.2023.115938 · ExternalCitation · doi-reference
Optimizing structural topology design through consideration of fatigue crack propagation
10.1016/j.cma.2023.116629 · ExternalCitation · doi-reference
Topology optimization of adaptive structures: new limits of material economy
10.1016/j.cma.2023.116710 · ExternalCitation · doi-reference
Optimal design of steel exoskeleton for the retrofitting of RC buildings via genetic algorithm
10.1016/j.compstruc.2024.107396 · ExternalCitation · doi-reference
JAX-fluids: a fully-differentiable high-order computational fluid dynamics solver for compressible two-phase flows
10.1016/j.cpc.2022.108527 · ExternalCitation · doi-reference
JAX-FEM: a differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science
10.1016/j.cpc.2023.108802 · ExternalCitation · doi-reference
Form-finding of tensegrity structures via rank minimization of force density matrix
10.1016/j.engstruct.2020.111419 · ExternalCitation · doi-reference
Minimal mass design of active tensegrity structures
10.1016/j.engstruct.2021.111965 · ExternalCitation · doi-reference
A machine learning-based surrogate model for optimization of truss structures with geometrically nonlinear behavior
10.1016/j.finel.2021.103572 · ExternalCitation · doi-reference
An efficient method for nonlinear inelastic truss optimization based on improved k-nearest neighbor comparison and rao algorithm
10.1016/j.istruc.2024.108158 · ExternalCitation · doi-reference
A differentiable structural analysis framework for high-performance design optimization
10.1016/j.istruc.2025.109292 · ExternalCitation · doi-reference
Structural optimization using sensitivity analysis and a level-set method
10.1016/j.jcp.2003.09.032 · ExternalCitation · doi-reference
Gradient-based structural optimization with geometric nonlinearity and dynamics via differentiable analysis
10.1016/j.rineng.2026.112482 · ExternalCitation · doi-reference
Topology-finding of tensegrity structures considering global stability condition
10.1061/(asce)st.1943-541x.0002843 · ExternalCitation · doi-reference
Optimal topologies in case of probabilistic loading: the influence of load correlation
10.1080/15397730902936328 · ExternalCitation · doi-reference
Structural optimization for nonlinear dynamic response
10.1098/rsta.2014.0408 · ExternalCitation · doi-reference
Generalized displacement control analysis and optimal design of geometrically nonlinear space structures
10.1142/s0219876221430180 · ExternalCitation · doi-reference
Deep Graph Learning for Rapid End‐to‐End Prestress Determination of Tensegrity and Cable‐Strut Tensile Structures
10.1155/stc/6671567 · ExternalCitation · doi-reference
Comparison of gradient and nongradient algorithms in the structural optimization course
10.1177/0306419018775437 · ExternalCitation · doi-reference
A differentiable physics engine for deep learning in robotics
10.3389/fnbot.2019.00006 · ExternalCitation · doi-reference
Structural optimization in civil engineering: a literature review
10.3390/buildings11020066 · ExternalCitation · doi-reference
