Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Topology optimization of engineering structures. An approach synthesizing the methods of: free material design, composite design and Michell-like trusses.

2013/11/B/ST8/04436

Keywords:

free material design composites Michell-like trusses topology optimization

Descriptors:

  • ST8_2: Maritime/hydraulic/water engineering, civil engineering, aerospace engineering
  • ST8_3: Computational engineering, computer-aided modelling, design and manufacturing
  • ST8_8: Mechanics of solids

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 Lewiński 

Number of co-investigators in the project: 9

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 772 040 PLN

Project start date (Y-m-d): 2014-07-15

Project end date (Y-m-d): 2017-12-14

Project duration:: 41 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny z monitorem (30 000 PLN)

Information in the final report

  • Publication in academic press/journals (18)
  • Articles in post-conference publications (24)
  • Book publications / chapters in book publications (11)
  1. On material design by the optimal choice of Young's modulus distribution
    Authors:
    S.Czarnecki, T.Lewiński
    Academic press:
    Int.J.Solids.Structures (rok: 2017, tom: 110-111, strony: 315-331), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijsolstr.2016.11.021 - link to the publication
  2. Simultaneous design of optimal shape and local cubic material characteristics
    Authors:
    R. Czubacki, J.-F.Ganghoffer, T.Lewiński
    Academic press:
    Engineering Transactions (rok: 2017, tom: 65, strony: 45613), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Solution of the three forces problem in a case of two forces being mutually orthogonal
    Authors:
    T.Sokół, T.Lewiński
    Academic press:
    Engineering Transactions (rok: 2016, tom: 64, strony: 485-491), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  4. The emergence of auxetic material as a result of optimal isotropic design.
    Authors:
    Czarnecki, S. & Wawruch, P.
    Academic press:
    Physica Status Solidi B (rok: 2015, tom: 252, strony: 1620-1630), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/pssb.201451733 - link to the publication
  5. Topology optimization of spatial continuum structures made of non-homogeneous material of cubic symmetry
    Authors:
    R.Czubacki, T.Lewiński
    Academic press:
    Journal of Mechanics of Materials and Structures (rok: 2015, tom: 10, strony: 519-535), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.519 - link to the publication
  6. , Optimal internal architectures of femoral bone based on relaxation by homogenization and isotropic material design
    Authors:
    I.Goda, J.F. Ganghoffer, S. Czarnecki, P.Wawruch, T.Lewiński
    Academic press:
    Mechanics Research Communications (rok: 2016, tom: 76, strony: 64-71), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.mechrescom.2016.06.007 - link to the publication
  7. A note on optimal design of multiphase elastic structures
    Authors:
    N. Briggs, A. Cherkaev, G. Dzierżanowski
    Academic press:
    Structural and Multidisciplinary Optimization (rok: 2015, tom: 51, strony: 749-755), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00158-014-1156-1 - link to the publication
  8. Pareto optimal design of non-homogeneous isotropic material properties for the multiple loading conditions
    Authors:
    S.Czarnecki, T.Lewiński
    Academic press:
    Physica Status Solidi B: Basic Solids State Physics (rok: 2017, tom: 254, strony: 1600821, pp 1-14), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/pssb.201600821 - link to the publication
  9. Simply supported Michell trusses generated by a lateral point load
    Authors:
    T.Sokół, T.Lewinski
    Academic press:
    Structural and Multidisciplinary Optimization (rok: 2016, tom: 54, strony: 1209-1224), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00158-016-1480-8 - link to the publication
  10. The planar Least Gradient problem in convex domains
    Authors:
    Rybka, P., Sabra, A.
    Academic press:
    Indiana University Mathematics Journal (tom: -, strony: -), Wydawca: 831 East Third Street, Indiana University
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Application of the Isotropic Material Design and Inverse Homogenization in 3D printing
    Authors:
    G.Dzierżanowski
    Academic press:
    Engineering Transactions (rok: 2016, tom: 64, strony: 465–471), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  12. Isotropic Material Design
    Authors:
    S.Czarnecki
    Academic press:
    Computational Methods in Science and Technology (rok: 2015, tom: 21, strony: 49-64), Wydawca: OWN, Poznan Supercomputing and Networking Center Noskowskiego 10, 61-704 Poznan
    Status:
    Published
    DOI:
    10.12921/cmst.2015.21.02.001 - link to the publication
  13. Integrability of the derivative of solutions to a singular one-dimensional parabolic problem
    Authors:
    Nakayasu, A., Rybka,P
    Academic press:
    Topol. Method in Nonlinear Anal. (rok: 2018, tom: 52, strony: 239-257), Wydawca: Juliusz P. Schauder Center for Nonlinear Studies at Nicolaus Copernicus University in Toruń
    Status:
    Published
    DOI:
    10.12775/TMNA.2018.031 - link to the publication
  14. On shape and material optimization of isotropic bodies
    Authors:
    S. Czarnecki, T.Lewiński, P.Wawruch
    Academic press:
    Engineering Transactions. (rok: 2017, tom: 65, strony: 45360), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  15. The Isotropic and Cubic Material Designs. Recovery of the underlying Microstructures Appearing in the Least Compliant Continuum Bodies
    Authors:
    Czarnecki S., Łukasiak T., Lewiński T
    Academic press:
    Materials (rok: 2017, tom: 10, strony: 1137), Wydawca: http://www.mdpi.com/
    Status:
    Published
    DOI:
    10.3390/ma10101137 - link to the publication
  16. Special cases of the planar least gradient problem
    Authors:
    W. Górny, P. Rybka, A.Sabra
    Academic press:
    Nonlinear Analysis (rok: 2017, tom: 151, strony: 66-95), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2016.11.020 - link to the publication
  17. Two-Phase Isotropic Composites of Extremal Moduli. The Inverse Homogenization Problem
    Authors:
    T.Łukasiak
    Academic press:
    Engineering Transactions (rok: 2017, tom: 65, strony: 31-38), Wydawca: IPPT PAN
    Status:
    Published
    DOI:
    brak - link to the publication
  18. Zagadnienia kształtowania konstrukcji w ujęciu współczesnej mechaniki
    Authors:
    K.Bołbotowski, S.Czarnecki, R.Czubacki, G.Dzierżanowski, T.Lewiński, T.Łukasiak, T.Sokół
    Academic press:
    Inżynieria i Budownictwo, No 8/ 2017 str 437-441 (rok: 2017, tom: nr 8, strony: 437-441), Wydawca: Polski Związek Inżynierów i Techników Budownictwa
    Status:
    Published
    DOI:
    brak - link to the publication
  1. Optimal structures made of two elastic materials and void
    Authors:
    Grzegorz Dzierżanowski
    Conference:
    Continuum Models Discrete Systems (CMDS-13), Universityof Utah, July 21-25 2014, Salt Lake City, Utah, USA (rok: 2014, ), Wydawca: Univ. of Utah
    Data:
    konferencja July 21-25 2014
    Status:
    Published
    DOI:
    link to the publication
  2. Pareto optimal design of non-homogeneous isotropic materials properties for the multiple loading conditions
    Authors:
    S.Czarnecki, T.Lewiński
    Conference:
    7th International Conference Auxetics and other materials and models with "negative" characteristics 12th International Workshop Auxetics and related systems (rok: 2016, ), Wydawca: PUBLISHER Faculty of Applied Physics and Mathematics and TASK Publishing Gdansk University of Technology 80-233 Gdansk, Gabriela Narutowicza 11/12
    Data:
    konferencja 12–16 September 2016, Szymbark
    Status:
    Published
  3. Constrained Versions of the Free Material Design Methods and their applications in 3D printing
    Authors:
    Lewiński T, Czarnecki S., Czubacki R., Łukasiak T., Wawruch P.
    Conference:
    Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12) eds. Schumacher A., Vietor T., Fiebig S., Bletzinger KU., Maute K. (rok: 2018, ), Wydawca: Springer International Publishing AG
    Data:
    konferencja 5th - 9th, June 2017, Braunschweig, Germany
    Status:
    Published
  4. Design of additively manufacturable least compliant structures
    Authors:
    S. Czarnecki, T. Lewiński, T.Łukasiak, P.Wawruch
    Conference:
    22nd Computer Methods in Mechanics, September 13th–16th 2017, Lublin, Poland, eds. Burczyński T., Kuczma M., Warmiński J., Podgórski J., Błazik-Borowa E., Lipecki T (rok: 2017, ), Wydawca: Department of Structural Mechanics, Lublin University of Technology. Lublin.
    Data:
    konferencja September 13th–16th 2017
    Status:
    Published
    DOI:
    link to the publication
  5. Macroscopically isotropic and cubic-isotropic two-material periodic structures constructed by the inverse-homogenization method.
    Authors:
    T.Łukasiak
    Conference:
    Advances in Structural and Multidisciplinary Optimization, Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12) eds. Schumacher A., Vietor T., Fiebig S., • Bletzinger KU., Maute K. (rok: 2018, ), Wydawca: Springer International Publishing AG
    Data:
    konferencja 5th - 9th, June 2017, Braunschweig, Germany
    Status:
    Published
  6. Multi-parameter underlying micro-structures in the FE inverse homogenization process towards extreme isotropic composites
    Authors:
    T.Łukasiak
    Conference:
    CMM-2017, 22nd Computer Methods in Mechanics, September 13th–16th 2017 Lublin, Poland, eds. Burczyński T., Kuczma M., Warmiński J., Podgórski J., Błazik-Borowa E., Lipecki T (rok: 2017, ), Wydawca: Department of Structural Mechanics, Lublin University of Technology. Lublin 2017.
    Data:
    konferencja September 13th–16th 2017
    Status:
    Published
  7. New method of generating Strut and Tie models using truss topology optimization.
    Authors:
    K.Bołbotowski, T.Sokół
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  8. Solution of the three force problem in a case of two forces being mutually orthogonal
    Authors:
    T.Sokół, T.Lewiński
    Conference:
    40th Solid Mechanics Conference, Warsaw, August 29th –September 2nd 2016 (rok: 2016, ), Wydawca: IPPT PAN
    Data:
    konferencja August 29th –September 2nd 2016
    Status:
    Published
    DOI:
    link to the publication
  9. A new adaptive ground structure method for multi-load spatial Michell structures.
    Authors:
    T.Sokół, G.I.N.Rozvany
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  10. Extension of Michell's classical (1904) truss topology optimization theory to multiple load conditions, stress and displacement constraints, space (3D) trusses, probabilistic design and discontinuous support conditions
    Authors:
    G.I.N.Rozvany, T.Sokół, V.Pomezanski, Z.Gaspar
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  11. Topology optimization of continuum structures made of non-homogeneous materials of isotropic or cubic symmetry
    Authors:
    S.Czarnecki, R.Czubacki, T.Lewiński, P.Wawruch
    Conference:
    11th World Congress on Structural and Multidisciplinary Optimisation (rok: 2015, ), Wydawca: University of Sydney
    Data:
    konferencja 07th -12th, June 2015
    Status:
    Published
  12. Two-phase isotropic composites of extremal moduli. The inverse homogenization problem.
    Authors:
    T.Łukasiak
    Conference:
    40th Solid Mechanics Conference (rok: 2016, ), Wydawca: IPPT PAN
    Data:
    konferencja August 29th –September 2nd 2016.
    Status:
    Published
    DOI:
    link to the publication
  13. An improved ground structure method with adjusted displacements in empty zones
    Authors:
    T.Sokół
    Conference:
    CMM-2017, 22nd Computer Methods in Mechanics, September 13th–16th 2017 Lublin, Poland, eds. Burczyński T., Kuczma M., Warmiński J., Podgórski J., Błazik-Borowa E., Lipecki T. (rok: 2017, ), Wydawca: Wydawca: Department of Structural Mechanics, Lublin University of Technology.
    Data:
    konferencja September 13th–16th 2017 Lublin
    Status:
    Published
  14. Material orientation design of planar structures with prescribed anisotropy classes. Study of rhombic systems
    Authors:
    R.Czubacki
    Conference:
    22nd Computer Methods in Mechanics, September 13th–16th 2017, Lublin, Poland, eds. Burczyński T., Kuczma M., Warmiński J., Podgórski J., Błazik-Borowa E., Lipecki T (rok: 2018, ), Wydawca: The American Institute of Physics
    Data:
    konferencja September 13th–16th 2017
    Status:
    Published
  15. On material design by the Pareto optimal choice of elastic moduli distribution
    Authors:
    S. Czarnecki, T. Lewiński
    Conference:
    CMM-2017, 22nd Computer Methods in Mechanics, eds. Burczyński T., Kuczma M., Warmiński J., Podgórski J., Błazik-Borowa E., Lipecki T (rok: 2017, ), Wydawca: Department of Structural Mechanics, Lublin University of Technology. Lublin 2017
    Data:
    konferencja September 13th–16th 2017, Lublin, Poland,
    Status:
    Published
    DOI:
    link to the publication
  16. On the Numerical Approximation of Michell Trusses and the Improved Ground Structure Method
    Authors:
    T.Sokół
    Conference:
    Advances in Structural and Multidisciplinary Optimization, Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12) eds. Schumacher A., Vietor T., Fiebig S., Bletzinger KU., Maute K (rok: 2018, ), Wydawca: Springer International Publishing AG
    Data:
    konferencja 5th - 9th, June 2017, Braunschweig, Germany
    Status:
    Published
  17. Optimization of structural topology
    Authors:
    T.Lewiński, K. Bołbotowski, S. Czarnecki, R. Czubacki, G. Dzierżanowski, T. Łukasiak, T. Sokół , P.Wawruch
    Conference:
    40th Solid Mechanics Conference, Warsaw, (rok: 2016, ), Wydawca: IPPT PAN
    Data:
    konferencja August 29th –September 2nd 2016
    Status:
    Published
    DOI:
    link to the publication
  18. The Free Material Design reduced to the Monge-Kantorovich problem
    Authors:
    S.Czarnecki, R.Czubacki, T.Lewiński, P.Wawruch
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  19. Topology optimization of spatial continuum structures made of non-homogeneous material of cubic symmetry
    Authors:
    S.Czarnecki, R.Czubacki, T.Lewiński
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  20. Young's Modulus Control in Material and Topology Optimization
    Authors:
    G.Dzierżanowski and T.Lewiński
    Conference:
    Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12). A.Schumacher, Th.Vietor, S.Fiebig, K.-U. Bletzinger, K.Maute, Editors (rok: 2018, ), Wydawca: Springer International Publishing AG, Cham, Switzerland.
    Data:
    konferencja 5th - 9th, June 2017, Braunschweig, Germany
    Status:
    Published
    DOI:
    link to the publication
  21. HS rho - an isotropic material interpolation scheme based on Hashin-Shtrikman variational bounds
    Authors:
    T.Łukasiak
    Conference:
    PCM-CMM-2015 – 3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 September
    Status:
    Published
  22. On the numerical optimization of multi-load spatial Michell trusses using a new adaptive ground structure approach
    Authors:
    Tomasz Sokół and George I. N. Rozvany
    Conference:
    11th World Congress on Structural and Multidisciplinary Optimisation (rok: 2015, ), Wydawca: University of Sydney
    Data:
    konferencja 07th -12th, June 2015
    Status:
    Published
  23. Selected problems of numerical analysis of Free Material Design
    Authors:
    S. Czarnecki, P. Wawruch
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 Sept. 2015
    Status:
    Published
  24. Stress based version of isotropic material design in two dimensions
    Authors:
    S. Czarnecki, R. Czubacki, P. Wawruch
    Conference:
    3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics (rok: 2015, ), Wydawca: Polish Society of Theoretical and Applied Mechanics
    Data:
    konferencja 8-11 September 2015
    Status:
    Published
  1. A new adaptive ground structure method for multi-load spatial Michell structures
    Authors:
    T.Sokół
    Book:
    Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues (rok: 2016, tom: bd., strony: 525-528), Wydawca: Taylor & Francis Group, London, ISBN 978-1-138-02906-4, CRC Press Balkema
    Status:
    Published
  2. Topology and material optimization of plates and shells
    Authors:
    T.Lewiński, S.Czarnecki, R.Czubacki and T.Sokół
    Book:
    W.Pietraszkiewicz and W.Witkowski (Eds.) Shell Structures: Theory and Applications. Vol.4. Proc.of the 11th Conference Shell Structures: Theory and Applications" (SSTA 2017), October 11-13, 2017 (rok: 2018, tom: 1, strony: 19-29), Wydawca: CRC Press. Taylor&Francis Group Boca Raton, London, New York, London 2018.
    Status:
    Published
  3. Chapter I Selected problems of statics
    Authors:
    T.Lewiński, T.Sokół, C.Graczykowski
    Book:
    Michell Structures (rok: 2019, tom: -, strony: 14977), Wydawca: Springer International Publishing AG, Gewerbestrasse 11, 6330 Cham, Switzerland
    Status:
    Published
  4. HSρ – an isotropic material interpolation scheme based on Hashin-Shtrikman variational bounds
    Authors:
    T.Łukasiak
    Book:
    Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues. (rok: 2016, tom: bd., strony: 355-359), Wydawca: Taylor & Francis Group, London, ISBN 978-1-138-02906-4, CRC Press Balkema
    Status:
    Published
  5. Construction of stress trajectories in optimal, non-homogeneous elastic bodies
    Authors:
    S.Czarnecki, P.Wawruch
    Book:
    Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues. (rok: 2016, tom: bd., strony: 137-140), Wydawca: Taylor & Francis Group, London, ISBN 978-1-138-02906-4, CRC Press Balkema
    Status:
    Published
  6. Chapter III Theory of Michell structures. Single load case
    Authors:
    T.Lewiński, T.Sokół, C.Graczykowski
    Book:
    Michell Structures (rok: 2019, tom: -, strony: 93-118), Wydawca: Springer International Publishing AG, Gewerbestrasse 11, 6330 Cham, Switzerland
    Status:
    Published
    DOI:
    link to the publication
  7. Chapter IV Constructing Michell structures in plane. Single load case
    Authors:
    T.Lewiński, T.Sokół, C.Graczykowski
    Book:
    Michell Structures (rok: 2019, tom: -, strony: 119-408), Wydawca: Springer International Publishing AG, Gewerbestrasse 11, 6330 Cham, Switzerland
    Status:
    Published
    DOI:
    link to the publication
  8. Optymalizacja topologiczna materiałów w zakresie sprężystym z założoną klasą anizotropii
    Authors:
    Czubacki R., Czarnecki S.
    Book:
    Red. S.Jemioło, Sprężystość i lepkosprężystość małych odkształceń. Wybrane zagadnienia (rok: 2017, tom: -, strony: 159-168), Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
    Status:
    Published
    DOI:
    link to the publication
  9. New method of generating Strut and Tie models using truss topology optimization
    Authors:
    K. Bołbotowski, T. Sokół
    Book:
    Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues. (rok: 2016, tom: bd., strony: 97-100), Wydawca: Taylor and Francis Group, ISBN 978-1-138-02906-4 CRC Press Balkema
    Status:
    Published
  10. Chapter II Optimum design of structures of finite number of bars. Single load variant
    Authors:
    T.Lewiński, T.Sokół, C.Graczykowski
    Book:
    Michell Structures (rok: 2019, tom: -, strony: 43-92), Wydawca: Springer International Publishing AG, Gewerbestrasse 11, 6330 Cham, Switzerland
    Status:
    Published
    DOI:
    link to the publication
  11. Wybrane zagadnienia optymalizacji konstrukcji
    Authors:
    G. Dzierżanowski, K. Bołbotowski
    Book:
    Współczesna mechanika konstrukcji w projektowaniu inżynierskim (rok: 2015, tom: nr 92, strony: 41-56), Wydawca: Polska Akademia Nauk, Komitet Inżynierii Lądowej i Wodnej, Studia z zakresu inżynierii
    Status:
    Published
    DOI:
    link to the publication

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