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Geometric Partial Differential Equations - Part II
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Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach
An ODE-driven level-set density method for topology optimization
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On transmissible load formulations in topology optimization
Hongjia Lu, Andrew Tyas, Matthew Gilbert and Aleksey V. Pichugin Structural and Multidisciplinary Optimization 64(1) 23 (2021) https://doi.org/10.1007/s00158-021-02932-0
Smooth topological design of 3D continuum structures using elemental volume fractions
An optimization algorithm for automatic structural design
Nicola Ferro, Stefano Micheletti and Simona Perotto Computer Methods in Applied Mechanics and Engineering 372 113335 (2020) https://doi.org/10.1016/j.cma.2020.113335
A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures
Level set topology optimization for design-dependent pressure loads using the reproducing kernel particle method
Andreas Neofytou, Renato Picelli, Tsung-Hui Huang, Jiun-Shyan Chen and H. Alicia Kim Structural and Multidisciplinary Optimization 61(5) 1805 (2020) https://doi.org/10.1007/s00158-020-02549-9
A phase-field-based graded-material topology optimization with stress constraint
Ferdinando Auricchio, Elena Bonetti, Massimo Carraturo, Dietmar Hömberg, Alessandro Reali and Elisabetta Rocca Mathematical Models and Methods in Applied Sciences 30(08) 1461 (2020) https://doi.org/10.1142/S0218202520500281
Compliance–stress constrained mass minimization for topology optimization on anisotropic meshes
FreeFEM++ code for reaction-diffusion equation–based topology optimization: for high-resolution boundary representation using adaptive mesh refinement
Cheolwoong Kim, Mingook Jung, Takayuki Yamada, Shinji Nishiwaki and Jeonghoon Yoo Structural and Multidisciplinary Optimization 62(1) 439 (2020) https://doi.org/10.1007/s00158-020-02498-3
Simultaneous material, shape and topology optimization
Felipe Fernandez, Andrew T. Barker, Jun Kudo, et al. Computer Methods in Applied Mechanics and Engineering 371 113321 (2020) https://doi.org/10.1016/j.cma.2020.113321
Topology optimization for brittle fracture resistance
Explicit and efficient topology optimization of frequency-dependent damping patches using moving morphable components and reduced-order models
Xiang Xie, Hui Zheng, Stijn Jonckheere and Wim Desmet Computer Methods in Applied Mechanics and Engineering 355 591 (2019) https://doi.org/10.1016/j.cma.2019.06.039
Comparison of thermodynamic topology optimization with SIMP
Dustin Roman Jantos, Christopher Riedel, Klaus Hackl and Philipp Junker Continuum Mechanics and Thermodynamics 31(2) 521 (2019) https://doi.org/10.1007/s00161-018-0706-y
Level set-based isogeometric topology optimization for maximizing fundamental eigenfrequency
Mechanical Metamaterials and Their Engineering Applications
James Utama Surjadi, Libo Gao, Huifeng Du, Xiang Li, Xiang Xiong, Nicholas Xuanlai Fang and Yang Lu Advanced Engineering Materials 21(3) (2019) https://doi.org/10.1002/adem.201800864
Explicit model of dual programming and solving method for a class of separable convex programming problems
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Patrick Dondl, Patrina S. P. Poh, Martin Rumpf and Stefan Simon Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475(2227) 20180718 (2019) https://doi.org/10.1098/rspa.2018.0718
POD-assisted strategies for structural topology optimization
Topology optimization of fusiform muscles with a maximum contraction
Qi Chen, Xianmin Zhang and Benliang Zhu International Journal for Numerical Methods in Biomedical Engineering 34(8) (2018) https://doi.org/10.1002/cnm.3096
A phase field model for stress‐based evolution of load‐bearing structures
I. Muench, C. Gierden and W. Wagner International Journal for Numerical Methods in Engineering 115(13) 1580 (2018) https://doi.org/10.1002/nme.5909
A meta-heuristic for topology optimization using probabilistic learning
On the effect of fluid-structure interactions and choice of algorithm in multi-physics topology optimisation
David J. Munk, Timoleon Kipouros, Gareth A. Vio, Geoffrey T. Parks and Grant P. Steven Finite Elements in Analysis and Design 145 32 (2018) https://doi.org/10.1016/j.finel.2018.03.006
A velocity field level set method for shape and topology optimization
Yaguang Wang and Zhan Kang International Journal for Numerical Methods in Engineering 115(11) 1315 (2018) https://doi.org/10.1002/nme.5845
Reaction-diffusion equation based topology optimization combined with the modified conjugate gradient method
Hong Kyoung Seong, Hyundo Shin, Jeonghoon Yoo, Takayuki Yamada and Shinji Nishiwaki Finite Elements in Analysis and Design 140 84 (2018) https://doi.org/10.1016/j.finel.2017.11.009
Topological Shape Optimization Scheme for Nonlinear Structures Based on Artificial Bee Colony Algorithm
An integrated beam-plate structure multi-level optimal design framework based on bi-directional evolutionary structural optimization and surrogate model
Topology optimization of energy absorbing structures with maximum damage constraint
Lei Li, Guodong Zhang and Kapil Khandelwal International Journal for Numerical Methods in Engineering 112(7) 737 (2017) https://doi.org/10.1002/nme.5531
Topology optimization for submerged buoyant structures