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Merging the optimum design problems of structural topology and of the optimal choice of material characteristics. The theoretical foundations and numerical methods

2019/33/B/ST8/00325

Keywords:

structural mechanics topology optimization

Descriptors:

  • ST8_002:

Panel:

ST8 - Production and processes engineering: modelling, product design, process design and control, construction methods and engineering, power units and systems

Host institution :

Politechnika Warszawska, Wydział Inżynierii Lądowej

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Denis Lewiński 

Number of co-investigators in the project: 5

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 722 720 PLN

Project start date (Y-m-d): 2020-02-27

Project end date (Y-m-d): 2024-02-26

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (20)
  • Book publications / chapters in book publications (1)
  1. Optimal form-finding of cable systems
    Authors:
    G. Dzierżanowski, I.Wójcik-Grząba
    Academic press:
    Archives of Civil Engineering (rok: 2020, tom: 66, strony: 305-321), Wydawca: Komitet ILiW PAN
    Status:
    Published
    DOI:
    10.24425/ace.2020.134399 - link to the publication
  2. Optimal design of archgrids: the second-order cone programming perspective
    Authors:
    G. Dzierżanowski, K. Hetmański
    Academic press:
    Archives of Civil Engineering (rok: 2021, tom: 67, strony: 469-486), Wydawca: KILiW PAN
    Status:
    Published
    DOI:
    10.24425/ace.2021.138512 - link to the publication
  3. Enhanced growth method for topology and geometry optimization of truss structures
    Authors:
    G. Kozłowski, T. Sokół
    Academic press:
    Structural and Multidisciplinary Optimization (rok: 2022, tom: 65, strony: 220), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00158-022-03317-7 - link to the publication
  4. Optimum design of elastic moduli for the multiple load problems
    Authors:
    T. Lewński
    Academic press:
    Archives of Mechanics (rok: 2021, tom: 73, strony: 27-66), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    10.24423/aom.3607 - link to the publication
  5. Optimal design of plane elastic membranes using the convexified F¨oppl's model
    Authors:
    Karol Bołbotowski
    Academic press:
    Applied Mathematics and Optimization (rok: 2024, tom: 90, strony: 20090), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-024-10143-4 - link to the publication
  6. Optimal archgrids spanning rectangular domains
    Authors:
    G. Dzierżanowski, R. Czubacki
    Academic press:
    Computers and Structures (rok: 2021, tom: 242, strony: 106371, 11 stron), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.compstruc.2020.106371 - link to the publication
  7. On Cherkaev-Lurie-Milton theorem in the plane problems of linear elasticity
    Authors:
    T. Lewiński
    Academic press:
    Archives of Mechanics (rok: 2022, tom: 74, strony: 319-339), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    10,24423 - link to the publication
  8. Bending‐free lattices as underlying optimal isotropic microstructures of the least‐compliant two‐dimensional elastic bodies
    Authors:
    Czarnecki S., Łukasiak T.
    Academic press:
    Physica Status Solidi B (rok: 2021, tom: 258, strony: 2100344 (14 str.)), Wydawca: Wiley-VCH GmbH
    Status:
    Published
    DOI:
    10.1002/pssb.202100344 - link to the publication
  9. Optimal design versus maximal Monge-Kantorovich metrics
    Authors:
    Bołbotowski, K., Bouchitté, G
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2022, tom: 243, strony: 1449–1524), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-021-01728-2 - link to the publication
  10. The free material design problem for the stationary heat equation on low dimensional structure
    Authors:
    T.Lewiński, P. Rybka, A. Zatorska-Goldstein
    Academic press:
    Nonlinearity (rok: 2023, tom: 36 (2023), strony: 4501–4521), Wydawca: IPO Publishing. London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ace303 - link to the publication
  11. Level-set based shape optimization for plane elastic structures using radial basis functions and Hilbertian descent direction
    Authors:
    Przemysław Sobczak, Tomasz Sokół
    Academic press:
    Structural and Multidisciplinary Optimization (rok: 2024, tom: 67, strony: 46037), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00158-024-03868-x - link to the publication
  12. Auxetic Properties of the Stiffest Elastic Bodies as a Result of Topology Optimization and Microstructures Recovery Based on Homogenization Method
    Authors:
    S. Czarnecki, T. Łukasiak
    Academic press:
    Physica Status Solidi. Solid State Physics B (rok: 2024, tom: 221, strony: 24), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/pssb.202300495 - link to the publication
  13. Setting the Free Material Design problem through the methods of optimal mass distribution
    Authors:
    Bołbotowski, K., Lewiński, T
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2022, tom: 61, strony: praca nr 76, stron 39), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-022-02186-8 - link to the publication
  14. Applications of Michell's Theory in Design of High-Rise Buildings, Large-Scale Roofs and Long-Span Bridges
    Authors:
    C. Graczykowski, T. Lewiński
    Academic press:
    Computer Assisted Methods in Engineering and Science (rok: 2020, tom: 27, strony: 133-154), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    10,24423 - link to the publication
  15. Obliczenia numeryczne przekryć Pragera
    Authors:
    R. Czubacki, G. Dzierżanowski, T. Lewiński
    Academic press:
    Inżynieria i Budownictwo (rok: 2021, tom: 77, strony: 80-84), Wydawca: PZiTB
    Status:
    Published
  16. Michell structures within L-shaped domains
    Authors:
    K. Bołbotowski, T. Lewiński, T. Sokół
    Academic press:
    Computer Assisted Methods in Engineering and Science (rok: 2020, tom: 27, strony: 185-204), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    10.24423/cames.281. - link to the publication
  17. The isotropic material design of in-plane loaded elasto-plastic plates
    Authors:
    S. Czarnecki, T. Lewiński
    Academic press:
    Materials (rok: 2021, tom: 14, strony: 7430), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/ma14237430 - link to the publication
  18. Application of Topology Optimisation in the Strut-and-Tie Method: a Review
    Authors:
    S. Dudziak
    Status:
    Accepted for publication
  19. Trusses of the smallest total potential energy
    Authors:
    Sławomir Czarnecki, Tomasz Lewiński
    Status:
    Accepted for publication
  20. Application of the Rayleigh quotient method in the analysis of stability of straight elastic bars
    Authors:
    R. Czubacki, T. Lewiński
    Status:
    Accepted for publication
  1. Optimal Design of Trusses: The Force Density Perspective
    Authors:
    G. Dzierżanowski, I. Wójcik-Grząba
    Book:
    Optimization Methods for Structural Engineering (rok: 2023, tom: Ishaan R. Kale, Ali Sadollah (Eds.), strony: 21-40), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/978-981-99-2378-6_2 - link to the publication

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