EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: COCV, 20 2 (2014) 576-611 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Efficient and Accurate Separable Models for Discretized Material Optimization: A Continuous Perspective Based on Topological Derivatives

Peter Gangl, Nico Nees and Michael Stingl
The Journal of Geometric Analysis 34 (7) (2024)
https://doi.org/10.1007/s12220-024-01663-0

Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures

Harald Garcke, Paul Hüttl, Christian Kahle and Patrik Knopf
Applied Mathematics & Optimization 89 (1) (2024)
https://doi.org/10.1007/s00245-023-10093-3

Derivable Skeletons in Topology Optimization for Length Scale Control

Jiaqi Huang and Jikai Liu
Computer Methods in Applied Mechanics and Engineering 421 116778 (2024)
https://doi.org/10.1016/j.cma.2024.116778

Incorporating interface effects into multi-material topology optimization by improving interface configuration: An energy-based approach

Yi Wu
Computer Methods in Applied Mechanics and Engineering 431 117325 (2024)
https://doi.org/10.1016/j.cma.2024.117325

Geometric Complexity Control in Topology Optimization of 3D-Printed Fiber Composites for Performance Enhancement

Tao Wu, Peiqing Liu and Jikai Liu
Materials 17 (9) 2005 (2024)
https://doi.org/10.3390/ma17092005

Multi-material topology optimization with a direct meshless local Petrov–Galerkin method applied to a two-dimensional boundary value problem

Suzana Matos França de Oliveira, Laise Lima de Carvalho Sousa, Creto Augusto Vidal and Joaquim Bento Cavalcante-Neto
Engineering Optimization 1 (2024)
https://doi.org/10.1080/0305215X.2024.2338875

Accessibility constraints in structural optimization via distance functions

Grégoire Allaire, Martin Bihr, Beniamin Bogosel and Matias Godoy
Journal of Computational Physics 484 112083 (2023)
https://doi.org/10.1016/j.jcp.2023.112083

A Hilbertian projection method for constrained level set-based topology optimisation

Zachary J. Wegert, Anthony P. Roberts and Vivien J. Challis
Structural and Multidisciplinary Optimization 66 (9) (2023)
https://doi.org/10.1007/s00158-023-03663-0

Level set-based shape optimization of deformable structures for achieving desired sound transmission and reflective responses

Yuki Noguchi and Takayuki Yamada
Computer Methods in Applied Mechanics and Engineering 414 116190 (2023)
https://doi.org/10.1016/j.cma.2023.116190

Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator

Théodore Cherrière, Luc Laurent, Sami Hlioui, et al.
Structural and Multidisciplinary Optimization 65 (12) (2022)
https://doi.org/10.1007/s00158-022-03460-1

Topology optimization of supports with imperfect bonding in additive manufacturing

Grégoire Allaire, Beniamin Bogosel and Matías Godoy
Structural and Multidisciplinary Optimization 65 (10) (2022)
https://doi.org/10.1007/s00158-022-03284-z

A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension

Giovanna C. Andrade and Sandra A. Santos
Applied Mathematical Modelling 111 108 (2022)
https://doi.org/10.1016/j.apm.2022.06.026

Full sensitivity-driven gap/overlap free design of carbon fiber-reinforced composites for 3D printing

Jikai Liu, Jiaqi Huang, Jingjing Yan, Lei Li and Shizhen Li
Applied Mathematical Modelling 103 308 (2022)
https://doi.org/10.1016/j.apm.2021.10.047

Coupled optimization of macroscopic structures and lattice infill

Perle Geoffroy‐Donders, Grégoire Allaire, Georgios Michailidis and Olivier Pantz
International Journal for Numerical Methods in Engineering 123 (13) 2963 (2022)
https://doi.org/10.1002/nme.6392

Strength-based concurrent shape and fiber path optimization of continuous fiber composites

Zhelong He, Mehran Tehrani and Ali Y. Tamijani
Computer Methods in Applied Mechanics and Engineering 399 115414 (2022)
https://doi.org/10.1016/j.cma.2022.115414

Topology optimization of multi-material structures with explicitly graded interfaces

Baoshou Liu, Xiaodong Huang and Yinan Cui
Computer Methods in Applied Mechanics and Engineering 398 115166 (2022)
https://doi.org/10.1016/j.cma.2022.115166

A level set-based optimized design of multi-material compliant mechanisms considering stress constraints

Hélio Emmendoerfer, Kurt Maute, Eduardo Alberto Fancello and Emílio Carlos Nelli Silva
Computer Methods in Applied Mechanics and Engineering 391 114556 (2022)
https://doi.org/10.1016/j.cma.2021.114556

Optimized Design of Multi-Material Cellular Structures by a Level-Set Method With Guyan Reduction

Hayoung Chung and Zongliang Du
Journal of Mechanical Design 143 (10) (2021)
https://doi.org/10.1115/1.4050401

Shape Optimization of an Imperfect Interface: Steady-State Heat Diffusion

Grégoire Allaire, Beniamin Bogosel and Matías Godoy
Journal of Optimization Theory and Applications 191 (1) 169 (2021)
https://doi.org/10.1007/s10957-021-01928-6

Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers

F. Feppon, G. Allaire, C. Dapogny and P. Jolivet
Computer Methods in Applied Mechanics and Engineering 376 113638 (2021)
https://doi.org/10.1016/j.cma.2020.113638

Geometric Partial Differential Equations - Part II

Grégoire Allaire, Charles Dapogny and François Jouve
Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 1 (2021)
https://doi.org/10.1016/bs.hna.2020.10.004

Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson’s ratio

Filippo Agnelli, Andrei Constantinescu and Grigor Nika
Continuum Mechanics and Thermodynamics 32 (2) 433 (2020)
https://doi.org/10.1007/s00161-019-00851-6

Multi-material structural topology optimization considering material interfacial stress constraints

Pai Liu, Litao Shi and Zhan Kang
Computer Methods in Applied Mechanics and Engineering 363 112887 (2020)
https://doi.org/10.1016/j.cma.2020.112887

A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm

A.A. Romero Onco and S.M. Giusti
Computer Methods in Applied Mechanics and Engineering 366 113044 (2020)
https://doi.org/10.1016/j.cma.2020.113044

Additive manufacturing scanning paths optimization using shape optimization tools

M. Boissier, G. Allaire and C. Tournier
Structural and Multidisciplinary Optimization 61 (6) 2437 (2020)
https://doi.org/10.1007/s00158-020-02614-3

Topology optimization of connections in mechanical systems

L. Rakotondrainibe, G. Allaire and P. Orval
Structural and Multidisciplinary Optimization 61 (6) 2253 (2020)
https://doi.org/10.1007/s00158-020-02511-9

Structural optimization under internal porosity constraints using topological derivatives

J. Martínez-Frutos, G. Allaire, C. Dapogny and F. Periago
Computer Methods in Applied Mechanics and Engineering 345 1 (2019)
https://doi.org/10.1016/j.cma.2018.10.036

Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model

Yaguang Wang and Zhan Kang
Computer Methods in Applied Mechanics and Engineering 347 340 (2019)
https://doi.org/10.1016/j.cma.2018.12.018

Shape and topology optimization considering anisotropic features induced by additive manufacturing processes

Charles Dapogny, Rafael Estevez, Alexis Faure and Georgios Michailidis
Computer Methods in Applied Mechanics and Engineering 344 626 (2019)
https://doi.org/10.1016/j.cma.2018.09.036

A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets

Hao Li, Zhen Luo, Mi Xiao, Liang Gao and Jie Gao
Computer Methods in Applied Mechanics and Engineering 356 116 (2019)
https://doi.org/10.1016/j.cma.2019.07.020

Design of multi-layer materials using inverse homogenization and a level set method

Grigor Nika and Andrei Constantinescu
Computer Methods in Applied Mechanics and Engineering 346 388 (2019)
https://doi.org/10.1016/j.cma.2018.11.029

A projection‐based method for topology optimization of structures with graded surfaces

Yunfeng Luo, Quhao Li and Shutian Liu
International Journal for Numerical Methods in Engineering 118 (11) 654 (2019)
https://doi.org/10.1002/nme.6031

Piecewise length scale control for topology optimization with an irregular design domain

Jikai Liu
Computer Methods in Applied Mechanics and Engineering 351 744 (2019)
https://doi.org/10.1016/j.cma.2019.04.014

Multi-Material Heatsink Design Using Level-Set Topology Optimization

Mani Sekaran Santhanakrishnan, Tim Tilford and Chris Bailey
IEEE Transactions on Components, Packaging and Manufacturing Technology 9 (8) 1504 (2019)
https://doi.org/10.1109/TCPMT.2019.2929017

Topology optimization of shell–infill structures using an erosion-based interface identification method

Yunfeng Luo, Quhao Li and Shutian Liu
Computer Methods in Applied Mechanics and Engineering 355 94 (2019)
https://doi.org/10.1016/j.cma.2019.05.017

Architectured Materials in Nature and Engineering

N. Vermaak, G. Michailidis, A. Faure, et al.
Springer Series in Materials Science, Architectured Materials in Nature and Engineering 282 173 (2019)
https://doi.org/10.1007/978-3-030-11942-3_6

Topology optimization of shell-infill structures using a distance regularized parametric level-set method

Junjian Fu, Hao Li, Mi Xiao, Liang Gao and Sheng Chu
Structural and Multidisciplinary Optimization 59 (1) 249 (2019)
https://doi.org/10.1007/s00158-018-2064-6

Topology optimization of frequency dependent viscoelastic structures via a level-set method

G. Delgado and M. Hamdaoui
Applied Mathematics and Computation 347 522 (2019)
https://doi.org/10.1016/j.amc.2018.11.014

A consistent relaxation of optimal design problems for coupling shape and topological derivatives

Samuel Amstutz, Charles Dapogny and Àlex Ferrer
Numerische Mathematik 140 (1) 35 (2018)
https://doi.org/10.1007/s00211-018-0964-4

Topology optimization in acoustics and elasto-acoustics via a level-set method

J. Desai, A. Faure, G. Michailidis, G. Parry and R. Estevez
Journal of Sound and Vibration 420 73 (2018)
https://doi.org/10.1016/j.jsv.2018.01.032

A new multi-material level set topology optimization method with the length scale control capability

Jikai Liu and Yongsheng Ma
Computer Methods in Applied Mechanics and Engineering 329 444 (2018)
https://doi.org/10.1016/j.cma.2017.10.011

Multiple level set method for multi-material shape optimization in electromagnetic system

Kang Hyouk Lee, Kyung Sik Seo, Hong Soon Choi and Il Han Park
International Journal of Applied Electromagnetics and Mechanics 56 183 (2018)
https://doi.org/10.3233/JAE-172290

Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures

G. Allaire and T. Yamada
Numerische Mathematik 140 (2) 265 (2018)
https://doi.org/10.1007/s00211-018-0972-4

A Geometric Approach to Dynamical Model Order Reduction

Florian Feppon and Pierre F. J. Lermusiaux
SIAM Journal on Matrix Analysis and Applications 39 (1) 510 (2018)
https://doi.org/10.1137/16M1095202

Uniform thickness control without pre-specifying the length scale target under the level set topology optimization framework

Jikai Liu, Lei Li and Yongsheng Ma
Advances in Engineering Software 115 204 (2018)
https://doi.org/10.1016/j.advengsoft.2017.09.013

Taking into Account Thermal Residual Stresses in Topology Optimization of Structures Built by Additive Manufacturing

Gregoire Allaire and Lukas Jakabcin
Mathematical Models and Methods in Applied Sciences (2018)
https://doi.org/10.1142/S0218202518500501

Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity

Charles Dapogny and Michael S. Vogelius
Chinese Annals of Mathematics, Series B 38 (1) 293 (2017)
https://doi.org/10.1007/s11401-016-1072-3

Design of thermoelastic multi-material structures with graded interfaces using topology optimization

A. Faure, G. Michailidis, G. Parry, N. Vermaak and R. Estevez
Structural and Multidisciplinary Optimization 56 (4) 823 (2017)
https://doi.org/10.1007/s00158-017-1688-2

Design of pipeline opening layout through level set topology optimization

Jikai Liu and Yongsheng Ma
Structural and Multidisciplinary Optimization 55 (5) 1613 (2017)
https://doi.org/10.1007/s00158-016-1602-3

A level set-based topology optimization method for simultaneous design of elastic structure and coupled acoustic cavity using a two-phase material model

Yuki Noguchi, Takashi Yamamoto, Takayuki Yamada, Kazuhiro Izui and Shinji Nishiwaki
Journal of Sound and Vibration 404 15 (2017)
https://doi.org/10.1016/j.jsv.2017.05.040

Structural shape and topology optimization of cast parts using level set method

Yaguang Wang and Zhan Kang
International Journal for Numerical Methods in Engineering 111 (13) 1252 (2017)
https://doi.org/10.1002/nme.5503

Geometric constraints for shape and topology optimization in architectural design

Charles Dapogny, Alexis Faure, Georgios Michailidis, et al.
Computational Mechanics 59 (6) 933 (2017)
https://doi.org/10.1007/s00466-017-1383-6

Introducing a level-set based shape and topology optimization method for the wear of composite materials with geometric constraints

F. Feppon, G. Michailidis, M. A. Sidebottom, et al.
Structural and Multidisciplinary Optimization 55 (2) 547 (2017)
https://doi.org/10.1007/s00158-016-1512-4

Deposition path planning-integrated structural topology optimization for 3D additive manufacturing subject to self-support constraint

Jikai Liu and Albert C. To
Computer-Aided Design 91 27 (2017)
https://doi.org/10.1016/j.cad.2017.05.003

Topological Optimization of Multi - material Structures Based on Level Set Method

Dongyue Qu, Chunhua Zhao, Xiuming Li and Haibing Zhang
IOP Conference Series: Materials Science and Engineering 274 012054 (2017)
https://doi.org/10.1088/1757-899X/274/1/012054

A meshless method for multi-material topology optimization based on the alternating active-phase algorithm

Mingtao Cui, Hongfang Chen, Jingling Zhou and Fanglin Wang
Engineering with Computers 33 (4) 871 (2017)
https://doi.org/10.1007/s00366-017-0503-4

Multi-material topology optimization of viscoelastically damped structures using a parametric level set method

Max van der Kolk, Gijs J van der Veen, Jan de Vreugd and Matthijs Langelaar
Journal of Vibration and Control 23 (15) 2430 (2017)
https://doi.org/10.1177/1077546315617333

Level-set topology optimization for multimaterial and multifunctional mechanical metamaterials

Yu Wang, Jie Gao, Zhen Luo, Terry Brown and Nong Zhang
Engineering Optimization 49 (1) 22 (2017)
https://doi.org/10.1080/0305215X.2016.1164853

Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation

Wenbo Zhang and Zhan Kang
International Journal for Numerical Methods in Engineering 110 (1) 31 (2017)
https://doi.org/10.1002/nme.5344

Optimal layout of multiple bi-modulus materials

Kun Cai, Jing Cao, Jiao Shi, Lingnan Liu and Qing H. Qin
Structural and Multidisciplinary Optimization 53 (4) 801 (2016)
https://doi.org/10.1007/s00158-015-1365-2

Thickness control in structural optimization via a level set method

G. Allaire, F. Jouve and G. Michailidis
Structural and Multidisciplinary Optimization 53 (6) 1349 (2016)
https://doi.org/10.1007/s00158-016-1453-y

A level-set based multi-material topology optimization method using a reaction diffusion equation

Mingtao Cui, Hongfang Chen and Jingling Zhou
Computer-Aided Design 73 41 (2016)
https://doi.org/10.1016/j.cad.2015.12.002

Layout optimization for multi-bi-modulus materials system under multiple load cases

Jiao Shi, Jing Cao, Kun Cai, Zhenzhong Wang and Qing-Hua Qin
Engineering with Computers 32 (4) 745 (2016)
https://doi.org/10.1007/s00366-016-0450-5

Layout Optimization of Ill-Loaded Multiphase Bi-Modulus Materials

Kun Cai, Jing Cao, Jiao Shi and Qing H. Qin
International Journal of Applied Mechanics 08 (03) 1650038 (2016)
https://doi.org/10.1142/S1758825116500381

Multiple materials layout optimization in a layered structure

Jing Cao, Kun Cai, Peng Fei Wang, Dong Yan and Jiao Shi
Mechanics & Industry 17 (4) 404 (2016)
https://doi.org/10.1051/meca/2015066

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

On the formulation and implementation of geometric and manufacturing constraints in node–based shape optimization

Oliver Schmitt, Jan Friederich, Stefan Riehl and Paul Steinmann
Structural and Multidisciplinary Optimization 53 (4) 881 (2016)
https://doi.org/10.1007/s00158-015-1359-0

Topological derivative for an acoustic-elastic coupled system based on two-phase material model

Yuki NOGUCHI, Takayuki YAMADA, Takashi YAMAMOTO, Kazuhiro IZUI and Shinji NISHIWAKI
Mechanical Engineering Letters 2 16-00246 (2016)
https://doi.org/10.1299/mel.16-00246

Stacking sequence and shape optimization of laminated composite plates via a level-set method

G. Allaire and G. Delgado
Journal of the Mechanics and Physics of Solids 97 168 (2016)
https://doi.org/10.1016/j.jmps.2016.06.014

Sharp Interface Limit for a Phase Field Model in Structural Optimization

Luise Blank, Harald Garcke, Claudia Hecht and Christoph Rupprecht
SIAM Journal on Control and Optimization 54 (3) 1558 (2016)
https://doi.org/10.1137/140989066

Efficient Steady-State Computation for Wear of Multimaterial Composites

Florian Feppon, Mark A. Sidebottom, Georgios Michailidis, Brandon A. Krick and Natasha Vermaak
Journal of Tribology 138 (3) (2016)
https://doi.org/10.1115/1.4031993

Topological design for mechanical metamaterials using a multiphase level set method

Yu Wang, Zhen Luo, Nong Zhang and Tao Wu
Structural and Multidisciplinary Optimization 54 (4) 937 (2016)
https://doi.org/10.1007/s00158-016-1458-6

Paleo-tribology: development of wear measurement techniques and a three-dimensional model revealing how grinding dentitions self-wear to enable functionality

Gregory M Erickson, Mark A Sidebottom, John F Curry, et al.
Surface Topography: Metrology and Properties 4 (2) 024001 (2016)
https://doi.org/10.1088/2051-672X/4/2/024001

A Pareto-Optimal Approach to Multimaterial Topology Optimization

Amir M. Mirzendehdel and Krishnan Suresh
Journal of Mechanical Design 137 (10) (2015)
https://doi.org/10.1115/1.4031088

Shape optimization with a level set based mesh evolution method

G. Allaire, C. Dapogny and P. Frey
Computer Methods in Applied Mechanics and Engineering 282 22 (2014)
https://doi.org/10.1016/j.cma.2014.08.028

Material interface effects on the topology optimizationof multi-phase structures using a level set method

Natasha Vermaak, Georgios Michailidis, Guillaume Parry, et al.
Structural and Multidisciplinary Optimization 50 (4) 623 (2014)
https://doi.org/10.1007/s00158-014-1074-2