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Robust topology optimization with interval field model: on the spatially varied non-probabilistic uncertainty of material property, loading and geometry
Adaptive topology optimization for enhancing resistance to brittle fracture using the phase field model
Qi Zhang, Yang Liu, Nhon Nguyen-Thanh, Weidong Li, Shaofan Li and Kun Zhou Computer Methods in Applied Mechanics and Engineering 431 117237 (2024) https://doi.org/10.1016/j.cma.2024.117237
Adaptive density-based robust topology optimization under uncertain loads using parallel computing
An optimization algorithm for automatic structural design
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Integrated method for performance analysis of reliability-based topologically optimized components
Arshad Javed, Joshua Amrith Raj and BK Rout Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233(19-20) 7019 (2019) https://doi.org/10.1177/0954406219865757
Microstructural topology optimization for minimizing the sound pressure level of structural–acoustic coupled systems with multi-scale random parameters
Parametric topology optimization with multiresolution finite element models
Vahid Keshavarzzadeh, Robert M. Kirby and Akil Narayan International Journal for Numerical Methods in Engineering 119(7) 567 (2019) https://doi.org/10.1002/nme.6063
Large-scale stochastic topology optimization using adaptive mesh refinement and coarsening through a two-level parallelization scheme
Joan Baiges, Jesús Martínez-Frutos, David Herrero-Pérez, Fermin Otero and Alex Ferrer Computer Methods in Applied Mechanics and Engineering 343 186 (2019) https://doi.org/10.1016/j.cma.2018.08.028
Risk-averse structural topology optimization under random fields using stochastic expansion methods
Jesús Martínez-Frutos, David Herrero-Pérez, Mathieu Kessler and Francisco Periago Computer Methods in Applied Mechanics and Engineering 330 180 (2018) https://doi.org/10.1016/j.cma.2017.10.026
Robust truss topology optimization via semidefinite programming with complementarity constraints: a difference-of-convex programming approach
A critical analysis of expected-compliance model in volume-constrained robust topology optimization with normally distributed loading directions, using a minimax-compliance approach alternatively
Topology optimization under uncertainty via non-intrusive polynomial chaos expansion
Vahid Keshavarzzadeh, Felipe Fernandez and Daniel A. Tortorelli Computer Methods in Applied Mechanics and Engineering 318 120 (2017) https://doi.org/10.1016/j.cma.2017.01.019
Variational Analysis and Aerospace Engineering
Grégoire Allaire, François Jouve and Georgios Michailidis Springer Optimization and Its Applications, Variational Analysis and Aerospace Engineering 116 1 (2016) https://doi.org/10.1007/978-3-319-45680-5_1
Robust shape optimization of continuous structures via the level set method
Jesús Martínez-Frutos, David Herrero-Pérez, Mathieu Kessler and Francisco Periago Computer Methods in Applied Mechanics and Engineering 305 271 (2016) https://doi.org/10.1016/j.cma.2016.03.003
A first order approach for worst-case shape optimization of the compliance for a mixture in the low contrast regime
Robust shape optimization method for a linear elastic structure with unknown loadings
Masatoshi SHIMODA, Tomohiro NAGANO, Kohei SHINTANI and Satoshi ITO Transactions of the JSME (in Japanese) 81(832) 15-00353 (2015) https://doi.org/10.1299/transjsme.15-00353
Worst-case topology optimization of self-weight loaded structures using semi-definite programming
Combined shape and topology optimization of 3D structures
Asger Nyman Christiansen, J. Andreas Bærentzen, Morten Nobel-Jørgensen, Niels Aage and Ole Sigmund Computers & Graphics 46 25 (2015) https://doi.org/10.1016/j.cag.2014.09.021
A NOTE ON FORMULATIONS OF ROBUST COMPLIANCE OPTIMIZATION UNDER UNCERTAIN LOADS
Yoshihiro KANNO Journal of Structural and Construction Engineering (Transactions of AIJ) 80(710) 601 (2015) https://doi.org/10.3130/aijs.80.601
A semidefinite programming approach to robust truss topology optimization under uncertainty in locations of nodes
Robust optimal shape design for an elliptic PDE with uncertainty in its input data
Jesús Martínez-Frutos, Mathieu Kessler and Francisco Periago ESAIM: Control, Optimisation and Calculus of Variations 21(4) 901 (2015) https://doi.org/10.1051/cocv/2014049
Robust topology optimization of truss structures with random loading and material properties: A multiobjective perspective
Shape Optimization for Stokes flows: a finite element convergence analysis
Ivan Fumagalli, Nicola Parolini and Marco Verani ESAIM: Mathematical Modelling and Numerical Analysis 49(4) 921 (2015) https://doi.org/10.1051/m2an/2014060
Trends in PDE Constrained Optimization
Sergio Conti, Benedict Geihe, Martin Rumpf and Rüdiger Schultz International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 193 (2014) https://doi.org/10.1007/978-3-319-05083-6_13
Connecting architecture and engineering through structural topology optimization
Tolerance range selection of topologically optimized structures with the effects of uncertainties of manufacturing process
Arshad Javed and BK Rout Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228(18) 3441 (2014) https://doi.org/10.1177/0954406214528484
Robust Topology Optimization of Structures Under Loading Uncertainty
An Explicit Formula for Computing the Sensitivity of the Effective Conductivity of Heterogeneous Composite Materials to Local Inclusion Transport Properties and Geometry
Tolerance range section of topologically optimized structure using combined array design of experiments approach
Arshad Javed and BK Rout Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227(9) 2023 (2013) https://doi.org/10.1177/0954406212468652
Topology optimization with geometric uncertainties by perturbation techniques
B. S. Lazarov, M. Schevenels and O. Sigmund International Journal for Numerical Methods in Engineering 90(11) 1321 (2012) https://doi.org/10.1002/nme.3361
Investigation on parametric sensitivity of topologically optimized structures
Arshad Javed and BK Rout Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226(11) 2791 (2012) https://doi.org/10.1177/0954406212437513
Constrained Optimization and Optimal Control for Partial Differential Equations
Pradeep Atwal, Sergio Conti, Benedict Geihe, et al. International Series of Numerical Mathematics, Constrained Optimization and Optimal Control for Partial Differential Equations 160 215 (2012) https://doi.org/10.1007/978-3-0348-0133-1_12
Isogeometric Analysis for Topology Optimization with a Phase Field Model
Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system
Akihiro Takezawa, Satoru Nii, Mitsuru Kitamura and Nozomu Kogiso Computer Methods in Applied Mechanics and Engineering 200(25-28) 2268 (2011) https://doi.org/10.1016/j.cma.2011.03.008
Robust topology optimization accounting for spatially varying manufacturing errors
Sergio Conti, Harald Held, Martin Pach, Martin Rumpf and Rüdiger Schultz SIAM Journal on Control and Optimization 49(3) 927 (2011) https://doi.org/10.1137/090754315
Akihiro Takezawa, Satoru Nii, Mitsuru Kitamura and Nozomu Kogiso (2010) https://doi.org/10.2514/6.2010-9358
Relaxation of an optimal design problem in fracture mechanic: the anti-plane case