Topological asymptotic analysis of the Kirchhoff plate bending problem
ESAIM: COCV, 17 3 (2011) 705-721
Published online: 2010-03-31
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:
This article has been cited by the following article(s):
Topological Asymptotic Analysis for a Time Fractional Identification Problem
Mohamed Abdelwahed, Nejmeddine Chorfi and Maatoug HassineMathematical Methods in the Applied Sciences (2025)
https://doi.org/10.1002/mma.11120
Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three
Phillip Baumann, Peter Gangl and Kevin SturmJournal of Differential Equations 412 568 (2024)
https://doi.org/10.1016/j.jde.2024.08.050
On second-order tensor representation of derivatives in shape optimization
Antoine Laurain and Pedro T. P. LopesPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 382 (2277) (2024)
https://doi.org/10.1098/rsta.2023.0300
Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations
Katrin Weider and Axel SchumacherStructural and Multidisciplinary Optimization 67 (7) (2024)
https://doi.org/10.1007/s00158-023-03711-9
Damage identification in plate structures based on the topological derivative method
A. A. M. da Silva and A. A. NovotnyStructural and Multidisciplinary Optimization 65 (1) (2022)
https://doi.org/10.1007/s00158-021-03145-1
Topological Derivative for PDEs on Surfaces
Peter Gangl and Kevin SturmSIAM Journal on Control and Optimization 60 (1) 81 (2022)
https://doi.org/10.1137/20M1339040
Topological Derivative-Based Topology Optimization of Plate Structures Under Bending Effects
F. S. Carvalho, D. Ruscheinsky, S. M. Giusti, C. T. M. Anflor and A. A. NovotnyStructural and Multidisciplinary Optimization 63 (2) 617 (2021)
https://doi.org/10.1007/s00158-020-02710-4
Sensitivity of the Second Order Homogenized Elasticity Tensor to Topological Microstructural Changes
V. Calisti, A. Lebée, A. A. Novotny and J. SokolowskiJournal of Elasticity 144 (2) 141 (2021)
https://doi.org/10.1007/s10659-021-09836-6
A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm
A.A. Romero Onco and S.M. GiustiComputer Methods in Applied Mechanics and Engineering 366 113044 (2020)
https://doi.org/10.1016/j.cma.2020.113044
Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains
Antonio André Novotny, Jan Sokołowski and Antoni ŻochowskiJournal of Optimization Theory and Applications (2018)
https://doi.org/10.1007/s10957-018-1417-z
Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations
Samuel Amstutz and Nicolas Van GoethemSIAM Journal on Mathematical Analysis 48 (1) 320 (2016)
https://doi.org/10.1137/15M1020113
Energy change to insertion of inclusions associated with the Reissner–Mindlin plate bending model
V. Sales, A.A. Novotny and J.E. Muñoz RiveraInternational Journal of Solids and Structures 59 132 (2015)
https://doi.org/10.1016/j.ijsolstr.2015.01.019
Topological gradient for a fourth order operator used in image analysis
Gilles Aubert and Audric DrogoulESAIM: Control, Optimisation and Calculus of Variations 21 (4) 1120 (2015)
https://doi.org/10.1051/cocv/2014061
Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images
Gilles Aubert and Audric DrogoulComptes Rendus. Mathématique 352 (7-8) 609 (2014)
https://doi.org/10.1016/j.crma.2014.06.005
Topological sensitivity analysis for elliptic differential operators of order 2 m
Samuel Amstutz, Antonio André Novotny and Nicolas Van GoethemJournal of Differential Equations 256 (4) 1735 (2014)
https://doi.org/10.1016/j.jde.2013.12.005
A new method for inverse electromagnetic casting problems based on the topological derivative
Alfredo Canelas, Antonio A. Novotny and Jean R. RocheJournal of Computational Physics 230 (9) 3570 (2011)
https://doi.org/10.1016/j.jcp.2011.01.049