Zhai, Xiaoya Alternating optimization method for isogeometric topology optimization with stress constraints. (English) Zbl 07803025 J. Comput. Math. 42, No. 1, 134-155 (2024). MSC: 49J20 65J15 65N30 PDFBibTeX XMLCite \textit{X. Zhai}, J. Comput. Math. 42, No. 1, 134--155 (2024; Zbl 07803025) Full Text: DOI
BenSalah, Mohamed A noniterative reconstruction method for the inverse potential problem for a time-fractional diffusion equation. (English) Zbl 07799916 Topol. Methods Nonlinear Anal. 62, No. 2, 431-454 (2023). MSC: 35R30 34A55 35K20 35R11 49Q10 49Q12 PDFBibTeX XMLCite \textit{M. BenSalah}, Topol. Methods Nonlinear Anal. 62, No. 2, 431--454 (2023; Zbl 07799916) Full Text: DOI Link
Birgin, E. G.; Fernandez, L.; Haeser, G.; Laurain, A. Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls. (English) Zbl 1514.35296 J. Geom. Anal. 33, No. 6, Paper No. 184, 28 p. (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 35P15 35J25 49M41 49Q10 65H17 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., J. Geom. Anal. 33, No. 6, Paper No. 184, 28 p. (2023; Zbl 1514.35296) Full Text: DOI
Malek, Rakia; Hassine, Maatoug; Hrizi, Mourad Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow. (English) Zbl 1500.76020 J. Math. Anal. Appl. 517, No. 2, Article ID 126648, 41 p. (2023). MSC: 76D55 76D07 76M45 35Q35 PDFBibTeX XMLCite \textit{R. Malek} et al., J. Math. Anal. Appl. 517, No. 2, Article ID 126648, 41 p. (2023; Zbl 1500.76020) Full Text: DOI
Oh, Min Kyu; Lee, Dok Soo; Yoo, Jeonghoon Stress constrained topology optimization simultaneously considering the uncertainty of load positions. (English) Zbl 07757779 Int. J. Numer. Methods Eng. 123, No. 2, 339-365 (2022). MSC: 74P15 74S05 74K10 PDFBibTeX XMLCite \textit{M. K. Oh} et al., Int. J. Numer. Methods Eng. 123, No. 2, 339--365 (2022; Zbl 07757779) Full Text: DOI
Nardoni, C.; Danan, D.; Mang, C.; Bordeu, F.; Cortial, J. A R&D software platform for shape and topology optimization using body-fitted meshes. (English) Zbl 1507.65269 Sevilla, Rubén (ed.) et al., Mesh generation and adaptation. Cutting-edge techniques. Cham: Springer. SEMA SIMAI Springer Ser. 30, 23-39 (2022). MSC: 65N50 PDFBibTeX XMLCite \textit{C. Nardoni} et al., SEMA SIMAI Springer Ser. 30, 23--39 (2022; Zbl 1507.65269) Full Text: DOI
da Silva, Gustavo Assis; Beck, André Teófilo; Sigmund, Ole Structural topology optimization with predetermined breaking points. (English) Zbl 1507.74292 Comput. Methods Appl. Mech. Eng. 400, Article ID 115610, 21 p. (2022). MSC: 74P15 PDFBibTeX XMLCite \textit{G. A. da Silva} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115610, 21 p. (2022; Zbl 1507.74292) Full Text: DOI
Hrizi, Mourad; Novotny, Antonio Andre; Hassine, Maatoug Imaging of mass distributions from partial domain measurement. (English) Zbl 1498.35617 J. Inverse Ill-Posed Probl. 30, No. 5, 713-727 (2022). MSC: 35R30 35C20 35J25 49Q12 31A25 49M15 PDFBibTeX XMLCite \textit{M. Hrizi} et al., J. Inverse Ill-Posed Probl. 30, No. 5, 713--727 (2022; Zbl 1498.35617) Full Text: DOI
Han, Yongsheng; Xu, Bin; Duan, Zunyi; Huang, Xiaodong Stress-based bi-directional evolutionary structural topology optimization considering nonlinear continuum damage. (English) Zbl 1507.74299 Comput. Methods Appl. Mech. Eng. 396, Article ID 115086, 28 p. (2022). MSC: 74P15 74A45 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115086, 28 p. (2022; Zbl 1507.74299) Full Text: DOI
Karnaev, Vyacheslav Mikhailovich Optimal control of thin elastic inclusion in an elastic body. (Russian. English summary) Zbl 1491.49038 Sib. Èlektron. Mat. Izv. 19, No. 1, 187-210 (2022). MSC: 49S05 49Q10 35Q74 74B05 49N45 49Q12 PDFBibTeX XMLCite \textit{V. M. Karnaev}, Sib. Èlektron. Mat. Izv. 19, No. 1, 187--210 (2022; Zbl 1491.49038) Full Text: DOI
Nguyen, Nam V.; Nguyen-Xuan, H.; Lee, Jaehong Polygonal composite elements for stress-constrained topology optimization of nearly incompressible materials. (English) Zbl 1493.74096 Eur. J. Mech., A, Solids 94, Article ID 104548, 15 p. (2022). MSC: 74P15 74S05 PDFBibTeX XMLCite \textit{N. V. Nguyen} et al., Eur. J. Mech., A, Solids 94, Article ID 104548, 15 p. (2022; Zbl 1493.74096) Full Text: DOI
Zhang, Jian; van Keulen, Fred; Aragón, Alejandro M. On tailoring fracture resistance of brittle structures: a level set interface-enriched topology optimization approach. (English) Zbl 1507.74434 Comput. Methods Appl. Mech. Eng. 388, Article ID 114189, 29 p. (2022). MSC: 74R10 74P15 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114189, 29 p. (2022; Zbl 1507.74434) Full Text: DOI
Calisti, V.; Lebée, A.; Novotny, A. A.; Sokolowski, J. Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes. (English) Zbl 1472.35145 J. Elasticity 144, No. 2, 141-167 (2021). MSC: 35J57 49K40 74Q05 74P20 49Q10 35C20 PDFBibTeX XMLCite \textit{V. Calisti} et al., J. Elasticity 144, No. 2, 141--167 (2021; Zbl 1472.35145) Full Text: DOI
Zhang, Weisheng; Jiang, Shan; Liu, Chang; Li, Dingding; Kang, Pilseong; Youn, Sung-Kie; Guo, Xu Stress-related topology optimization of shell structures using IGA/TSA-based moving morphable void (MMV) approach. (English) Zbl 1442.74186 Comput. Methods Appl. Mech. Eng. 366, Article ID 113036, 25 p. (2020). MSC: 74P15 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113036, 25 p. (2020; Zbl 1442.74186) Full Text: DOI
da Silva, Gustavo Assis; Beck, André Teófilo; Sigmund, Ole Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity. (English) Zbl 1442.74165 Comput. Methods Appl. Mech. Eng. 365, Article ID 112972, 30 p. (2020). MSC: 74P15 PDFBibTeX XMLCite \textit{G. A. da Silva} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112972, 30 p. (2020; Zbl 1442.74165) Full Text: DOI
Hrizi, Mourad Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body. (English) Zbl 1439.49077 Taiwanese J. Math. 24, No. 2, 439-482 (2020). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 35R30 49Q12 74P15 74B05 49N45 PDFBibTeX XMLCite \textit{M. Hrizi}, Taiwanese J. Math. 24, No. 2, 439--482 (2020; Zbl 1439.49077) Full Text: DOI Euclid
Emmendoerfer, Hélio jun.; Silva, Emílio Carlos Nelli; Fancello, Eduardo Alberto Stress-constrained level set topology optimization for design-dependent pressure load problems. (English) Zbl 1440.74292 Comput. Methods Appl. Mech. Eng. 344, 569-601 (2019). MSC: 74P15 74A10 PDFBibTeX XMLCite \textit{H. Emmendoerfer jun.} et al., Comput. Methods Appl. Mech. Eng. 344, 569--601 (2019; Zbl 1440.74292) Full Text: DOI
da Silva, Gustavo Assis; Beck, André Teófilo; Sigmund, Ole Stress-constrained topology optimization considering uniform manufacturing uncertainties. (English) Zbl 1440.74290 Comput. Methods Appl. Mech. Eng. 344, 512-537 (2019). MSC: 74P15 PDFBibTeX XMLCite \textit{G. A. da Silva} et al., Comput. Methods Appl. Mech. Eng. 344, 512--537 (2019; Zbl 1440.74290) Full Text: DOI Link
Liu, Baoshou; Guo, Di; Jiang, Chao; Li, Guangyao; Huang, Xiaodong Stress optimization of smooth continuum structures based on the distortion strain energy density. (English) Zbl 1440.74300 Comput. Methods Appl. Mech. Eng. 343, 276-296 (2019). MSC: 74P15 74S05 74A10 PDFBibTeX XMLCite \textit{B. Liu} et al., Comput. Methods Appl. Mech. Eng. 343, 276--296 (2019; Zbl 1440.74300) Full Text: DOI
Amstutz, Samuel; Gangl, Peter Topological derivative for the nonlinear magnetostatic problem. (English) Zbl 1425.35051 ETNA, Electron. Trans. Numer. Anal. 51, 169-218 (2019). MSC: 35J62 49Q10 49Q12 PDFBibTeX XMLCite \textit{S. Amstutz} and \textit{P. Gangl}, ETNA, Electron. Trans. Numer. Anal. 51, 169--218 (2019; Zbl 1425.35051) Full Text: DOI arXiv Link
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Topological derivatives of shape functionals. II: First-order method and applications. (English) Zbl 1414.49045 J. Optim. Theory Appl. 180, No. 3, 683-710 (2019). MSC: 49Q10 35Q74 49J20 49M05 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., J. Optim. Theory Appl. 180, No. 3, 683--710 (2019; Zbl 1414.49045) Full Text: DOI
Zhang, Weisheng; Li, Dong; Zhou, Jianhua; Du, Zongliang; Li, Baojun; Guo, Xu A moving morphable void (MMV)-based explicit approach for topology optimization considering stress constraints. (English) Zbl 1440.74330 Comput. Methods Appl. Mech. Eng. 334, 381-413 (2018). MSC: 74P15 74S05 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Methods Appl. Mech. Eng. 334, 381--413 (2018; Zbl 1440.74330) Full Text: DOI
Takalloozadeh, Meisam; Yoon, Gil Ho Development of Pareto topology optimization considering thermal loads. (English) Zbl 1439.74295 Comput. Methods Appl. Mech. Eng. 317, 554-579 (2017). MSC: 74P15 PDFBibTeX XMLCite \textit{M. Takalloozadeh} and \textit{G. H. Yoon}, Comput. Methods Appl. Mech. Eng. 317, 554--579 (2017; Zbl 1439.74295) Full Text: DOI
Amad, Alan A. S.; Loula, Abimael F. D.; Novotny, Antonio A. A new method for topology design of electromagnetic antennas in hyperthermia therapy. (English) Zbl 1443.74011 Appl. Math. Modelling 42, 209-222 (2017). MSC: 74-10 74P15 PDFBibTeX XMLCite \textit{A. A. S. Amad} et al., Appl. Math. Modelling 42, 209--222 (2017; Zbl 1443.74011) Full Text: DOI
Ivvan Valdez, S.; Botello, Salvador; Ochoa, Miguel A.; Marroquín, José L.; Cardoso, Victor Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems. (English) Zbl 1391.74208 Arch. Comput. Methods Eng. 24, No. 4, 803-839 (2017). MSC: 74P15 90C60 49Q12 PDFBibTeX XMLCite \textit{S. Ivvan Valdez} et al., Arch. Comput. Methods Eng. 24, No. 4, 803--839 (2017; Zbl 1391.74208) Full Text: DOI
Giusti, S. M.; Ferrer, A.; Oliver, J. Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects. (English) Zbl 1439.74084 Comput. Methods Appl. Mech. Eng. 311, 134-150 (2016). MSC: 74E10 74P15 PDFBibTeX XMLCite \textit{S. M. Giusti} et al., Comput. Methods Appl. Mech. Eng. 311, 134--150 (2016; Zbl 1439.74084) Full Text: DOI Link
Emmendoerfer, Hélio; Fancello, Eduardo Alberto Topology optimization with local stress constraint based on level set evolution via reaction-diffusion. (English) Zbl 1425.74373 Comput. Methods Appl. Mech. Eng. 305, 62-88 (2016). MSC: 74P15 74S05 PDFBibTeX XMLCite \textit{H. Emmendoerfer} and \textit{E. A. Fancello}, Comput. Methods Appl. Mech. Eng. 305, 62--88 (2016; Zbl 1425.74373) Full Text: DOI
Delgado, Gabriel; Bonnet, Marc The topological derivative of stress-based cost functionals in anisotropic elasticity. (English) Zbl 1443.74247 Comput. Math. Appl. 69, No. 10, 1144-1166 (2015). MSC: 74P15 74B05 PDFBibTeX XMLCite \textit{G. Delgado} and \textit{M. Bonnet}, Comput. Math. Appl. 69, No. 10, 1144--1166 (2015; Zbl 1443.74247) Full Text: DOI
Emmendoerfer, Hélio jun.; Fancello, Eduardo Alberto A level set approach for topology optimization with local stress constraints. (English) Zbl 1352.74238 Int. J. Numer. Methods Eng. 99, No. 2, 129-156 (2014). MSC: 74P15 65K10 74S05 65N30 PDFBibTeX XMLCite \textit{H. Emmendoerfer jun.} and \textit{E. A. Fancello}, Int. J. Numer. Methods Eng. 99, No. 2, 129--156 (2014; Zbl 1352.74238) Full Text: DOI
Guo, Xu; Zhang, Weisheng; Zhong, Wenliang Stress-related topology optimization of continuum structures involving multi-phase materials. (English) Zbl 1295.74081 Comput. Methods Appl. Mech. Eng. 268, 632-655 (2014). MSC: 74P15 74S05 49Q12 PDFBibTeX XMLCite \textit{X. Guo} et al., Comput. Methods Appl. Mech. Eng. 268, 632--655 (2014; Zbl 1295.74081) Full Text: DOI
Zhang, Wei Sheng; Guo, Xu; Wang, Michael Yu; Wei, Peng Optimal topology design of continuum structures with stress concentration alleviation via level set method. (English) Zbl 1352.74255 Int. J. Numer. Methods Eng. 93, No. 9, 942-959 (2013). MSC: 74P15 74S05 65N30 PDFBibTeX XMLCite \textit{W. S. Zhang} et al., Int. J. Numer. Methods Eng. 93, No. 9, 942--959 (2013; Zbl 1352.74255) Full Text: DOI
Luo, Yangjun; Wang, Michael Yu; Kang, Zhan An enhanced aggregation method for topology optimization with local stress constraints. (English) Zbl 1297.74098 Comput. Methods Appl. Mech. Eng. 254, 31-41 (2013). MSC: 74P15 74S05 90C30 90C90 PDFBibTeX XMLCite \textit{Y. Luo} et al., Comput. Methods Appl. Mech. Eng. 254, 31--41 (2013; Zbl 1297.74098) Full Text: DOI
Holmberg, Erik; Torstenfelt, Bo; Klarbring, Anders Stress constrained topology optimization. (English) Zbl 1274.74341 Struct. Multidiscip. Optim. 48, No. 1, 33-47 (2013). MSC: 74P15 74K10 90C90 PDFBibTeX XMLCite \textit{E. Holmberg} et al., Struct. Multidiscip. Optim. 48, No. 1, 33--47 (2013; Zbl 1274.74341) Full Text: DOI Link
Amstutz, Samuel; Novotny, Antonio A.; De Souza Neto, Eduardo Alberto Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints. (English) Zbl 1253.74078 Comput. Methods Appl. Mech. Eng. 233-236, 123-136 (2012). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{S. Amstutz} et al., Comput. Methods Appl. Mech. Eng. 233--236, 123--136 (2012; Zbl 1253.74078) Full Text: DOI
Canelas, Alfredo; Novotny, Antonio A.; Roche, Jean R. A new method for inverse electromagnetic casting problems based on the topological derivative. (English) Zbl 1219.78147 J. Comput. Phys. 230, No. 9, 3570-3588 (2011). MSC: 78M50 78A30 65N21 78M25 PDFBibTeX XMLCite \textit{A. Canelas} et al., J. Comput. Phys. 230, No. 9, 3570--3588 (2011; Zbl 1219.78147) Full Text: DOI HAL