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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Development of fractional continuum mechanical models

2017/27/B/ST8/00351

Keywords:

non-local models fractional calculus scale effect

Descriptors:

  • ST8_4: Fluid mechanics, technical thermodynamics
  • ST8_3: Computational engineering, computer-aided modelling, design and manufacturing

Panel:

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

Host institution :

Politechnika Poznańska, Wydział Inżynierii Lądowej i Transportu

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wojciech Sumelka 

Number of co-investigators in the project: 7

Call: OPUS 14 - announced on 2017-09-15

Amount awarded: 662 700 PLN

Project start date (Y-m-d): 2018-07-23

Project end date (Y-m-d): 2022-01-22

Project duration:: 42 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.

Equipment purchased [PL]

  1. Uchwyty dla Instron the ElectroPulsTM E10000 Linear-Torsion machine (18 000 PLN)
  2. Moduł do testów rozciągania i zginania małowymiarowych próbek metalicznych.

Information in the final report

  • Publication in academic press/journals (37)
  • Book publications / chapters in book publications (1)
  1. Designing of Dynamic Spectrum Shifting in Terms of Non-Local Space-Fractional Mechanics
    Authors:
    Krzysztof Szajek, Wojciech Sumelka, Krzysztof Bekus, Tomasz Błaszczyk
    Academic press:
    Energies (rok: 2021, tom: 14, strony: 506), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/en14020506 - link to the publication
  2. Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects
    Authors:
    Paulina Stempin, Wojciech Sumelka
    Academic press:
    Computational Mechanics (rok: 2021, tom: 68, strony: 697-708), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00466-021-01987-6 - link to the publication
  3. Modelling of AAA in the framework of time-fractional damage hyperelasticity
    Authors:
    W. Sumelka, B. Łuczak, T. Gajewski, G.Z. Voyiadjis
    Academic press:
    International Journal of Solids and Structures (rok: 2020, tom: 206, strony: 30-42), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijsolstr.2020.08.015 - link to the publication
  4. Multiaxial stress-fractional plasticity model for anisotropically overconsolidated clay
    Authors:
    Yifei Sun, Wojciech Sumelka
    Academic press:
    International Journal of Mechanical Sciences (rok: 2021, tom: 205, strony: 106598), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijmecsci.2021.106598 - link to the publication
  5. Space-fractional Euler-Bernoulli beam model - Theory and identification for silver nanobeam bending
    Authors:
    P. Stempin, W. Sumelka
    Academic press:
    International Journal of Mechanical Sciences (rok: 2020, tom: 186, strony: 105902), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijmecsci.2020.105902 - link to the publication
  6. A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures
    Authors:
    Zaher Rahimi, Wojciech Sumelka, Dumitru Baleanu
    Academic press:
    Journal of Computational and Nonlinear Dynamics (rok: 2019, tom: 14, strony: 061004-061004-7), Wydawca: ASME
    Status:
    Published
    DOI:
    10.1115/1.4043085 - link to the publication
  7. Fractional plasticity for over-consolidated soft soil
    Authors:
    Yifei Sun, Wojciech Sumelka, Yufeng Gao
    Academic press:
    Meccanica (rok: 2021, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11012-021-01343-1 - link to the publication
  8. Nonlocal vibration analysis of microstretch plates in the framework of space-fractional mechanics—theory and validation
    Authors:
    Soner Aydinlik, Ahmet Kiris,Wojciech Sumelka
    Academic press:
    The European Physical Journal Plus (rok: 2021, tom: 136, strony: 169), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjp/s13360-021-01110-x - link to the publication
  9. The analysis of non-linear free vibration of FGM nano-beams based on the conformable fractional non-local model
    Authors:
    Z. RAHIMI1, W. SUMELKA, and S. SHAFIEI
    Academic press:
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES (rok: 2018, tom: 66, strony: 737-745), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/125341 - link to the publication
  10. A THERMODYNAMIC CONSISTENT ELASTOPLASTIC FRACTIONAL TIME-DEPENDENT DAMAGE MODEL FOR ROCK-LIKE MATERIALS
    Authors:
    Pengfei Qu, Lunyang Zhao, Wojciech Sumelka, QIZHI ZHU
    Academic press:
    Fractals (rok: 2021, tom: 29, strony: 2150045), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0218348X21500456 - link to the publication
  11. Advancement of Non-Newtonian Fluid with Hybrid Nanoparticles in a Convective Channel and Prabhakar's Fractional Derivative—Analytical Solution
    Authors:
    Muhammad Imran Asjad, Noman Sarwar, Muhammad Bilal Hafeez, Wojciech Sumelka, Taseer Muhammad
    Academic press:
    Fractal Fract. (rok: 2021, tom: 5, strony: 99), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/fractalfract5030099 - link to the publication
  12. Bounding surface model refined with fractional dilatancy relation for sand
    Authors:
    Yifei Sun, Wojciech Sumelka
    Academic press:
    Soils and Foundations (rok: 2022, tom: 62, strony: 101149), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.sandf.2022.101149 - link to the publication
  13. Dynamics of Space-Fractional Euler–Bernoulli and Timoshenko Beams
    Authors:
    Stempin, P.; Sumelka,W
    Academic press:
    Materials (rok: 2021, tom: 14, strony: 1817), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/ma14081817 - link to the publication
  14. Karlsruhe fine sand under monotonic and cyclic loads: Modelling and validation
    Authors:
    Yifei Sun, Torsten Wichtmann, Wojciech Sumelka, Mojtaba E. Kan
    Academic press:
    Soil Dynamics and Earthquake Engineering (rok: 2020, tom: 133, strony: 106119), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.soildyn.2020.106119 - link to the publication
  15. Numerical simulation of a Caputo fractional epidemic model for the novel coronavirus with the impact of environmental transmission
    Authors:
    Arshad Alam Khan , Rohul Amin, Saif Ullah, Wojciech Sumelka, Mohamed Altanjic
    Academic press:
    Alexandria Engineering Journal (rok: 2022, tom: 61, strony: 5083-5095), Wydawca: Elsever
    Status:
    Published
    DOI:
    10.008 - link to the publication
  16. On numerical approximation of the Riesz–Caputo operator with the fixed/short memory length
    Authors:
    Tomasz Blaszczyk , Krzysztof Bekus , Krzysztof Szajek , Wojciech Sumelka
    Academic press:
    Journal of King Saud University – Science (rok: 2021, tom: 33, strony: 101220), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.017 - link to the publication
  17. On selected aspects of space-fractional continuum mechanics model approximation
    Authors:
    Krzysztof Szajek, Wojciech Sumelka, Tomasz Blaszczyk, Krzysztof Bekus
    Academic press:
    International Journal of Mechanical Sciences (rok: 2020, tom: 167, strony: 105287), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijmecsci.2019.105287 - link to the publication
  18. Three-dimensional analysis of nonlocal plate vibration in the framework of space-fractional mechanics—Theory and validation
    Authors:
    Soner Aydinlik, Ahmet Kiris, Wojciech Sumelka
    Academic press:
    Thin-Walled Structures (rok: 2021, tom: 163, strony: 107645), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.tws.2021.107645 - link to the publication
  19. Discrete mass-spring structure identification in nonlocal continuum space-fractional model
    Authors:
    Krzysztof Szajek,Wojciech Sumelka
    Academic press:
    THE EUROPEAN PHYSICAL JOURNAL PLUS (rok: 2019, tom: 134, strony: 448), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjp/i2019-12890-8 - link to the publication
  20. Effects of the slip boundary condition on dynamics and pull-in instability of carbon nanotubes conveying fluid
    Authors:
    Himan Rashidi, Zaher Rahimi, Wojciech Sumelka
    Academic press:
    Microfluidics and Nanofluidics (rok: 2018, tom: 22, strony: 131), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10404-018-2156-z - link to the publication
  21. Experimental Analysis of Mechanical Anisotropy of Selected Roofing Felts
    Authors:
    Bartosz Łuczak, Wojciech Sumelka, Artur Wypych
    Academic press:
    Materials (rok: 2021, tom: 14, strony: 6907), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/ma14226907 - link to the publication
  22. Fractional Euler–Bernoulli Beam Theory Based on the Fractional Strain–Displacement Relation and its Application in Free Vibration, Bending and Buckling Analyses of Micro/Nanobeams
    Authors:
    Zaher Rahimia, Samrand Rash Ahmadi and W. Sumelka
    Academic press:
    ACTA PHYSICA POLONICA A (rok: 2018, tom: 134, strony: 574-582), Wydawca: Institute of Physics Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.12693/APhysPolA.134.574 - link to the publication
  23. Numerical Study of Dynamic Properties of Fractional Viscoplasticity Model
    Authors:
    Michał Szymczyk, Marcin Nowak and Wojciech Sumelka
    Academic press:
    Symmetry (rok: 2018, tom: 10, strony: 282), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/sym10070282 - link to the publication
  24. Plastic strain localization in an extreme dynamic tension test of steel sheet in the framework of fractional viscoplasticity
    Authors:
    Michał Szymczyk, Marcin Nowak, Wojciech Sumelka
    Academic press:
    Thin-Walled Structures (rok: 2020, tom: 149, strony: 106522), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.tws.2019.106522 - link to the publication
  25. State-dependent fractional plasticity model for the true triaxial behaviour of granular soil
    Authors:
    Y. SUN, W. SUMELKA
    Academic press:
    ARCHIVES OF MECHANICS (rok: 2019, tom: 71, strony: 23-47), Wydawca: IPPT PAN, Warszawa
    Status:
    Published
    DOI:
    10.24423/aom.3084 - link to the publication
  26. Study and control of thermoelastic damping of in-plane vibration of the functionally graded nano-plate
    Authors:
    Zaher Rahimi, Wojciech Sumelka, Samrand Rash Ahmadi, Dumitru Baleanu
    Academic press:
    Journal of Vibration and Control (rok: 2019, tom: 25, strony: 2850–2862), Wydawca: SAGE
    Status:
    Published
    DOI:
    10.1177/1077546319861009 - link to the publication
  27. Advantages and limitations of an a-plasticity model for sand
    Authors:
    Yifei Sun, Wojciech Sumelka, Yufeng Gao
    Academic press:
    Acta Geotechnica (rok: 2020, tom: 15, strony: 1423–1437), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11440-019-00877-9 - link to the publication
  28. Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory
    Authors:
    Tomasz Blaszczyk, Krzysztof Bekus, Krzysztof Szajek, Wojciech Sumelka
    Academic press:
    Meccanica (rok: 2021, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11012-021-01364-w - link to the publication
  29. Bounding surface plasticity for sand using fractional flow rule and modified critical state line
    Authors:
    Yifei Sun, Wojciech Sumelka, Yufeng Gao
    Academic press:
    Arch Appl Mech (rok: 2020, tom: 90, strony: 2561-2577), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00419-020-01737-9 - link to the publication
  30. Dynamic failure of the aluminium plate under air-blast loading in the framework of the fractional viscoplasticity model - theory and validation
    Authors:
    Wojciech Sumelka, Marcin Nowak, Amr Nassr, Hasan Al-Rifaie, Michał Malendowski, Tomasz Gajewski, Piotr Peksa, Robert Studziński, Piotr W. Sielicki
    Academic press:
    International Journal of Impact Engineering (rok: 2021, tom: 158, strony: 104024), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijimpeng.2021.104024 - link to the publication
  31. Fractional strain energy and its application to the free vibration analysis of a plate
    Authors:
    Zaher Rahimi, Siros Shafiei, Wojciech Sumelka, Ghader Rezazadeh
    Academic press:
    Microsystem Technologies (rok: 2019, tom: 25, strony: 2229-2238), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00542-018-4087-8 - link to the publication
  32. Fractional viscoplastic model for soils under compression
    Authors:
    Yifei Sun, Wojciech Sumelka
    Academic press:
    Acta Mechanica (rok: 2019, tom: 230, strony: 3365-3377), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00707-019-02466-z - link to the publication
  33. Identification ofmechanical properties of 1D deteriorated non-local bodies
    Authors:
    Krzysztof Szajek, Wojciech Sumelka
    Academic press:
    Structural and Multidisciplinary Optimization (rok: 2019, tom: 59, strony: 185-200), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00158-018-2060-x - link to the publication
  34. Mathematical assessment of constant and time-dependent control measures on the dynamics of the novel coronavirus: An application of optimal control theory
    Authors:
    Lei Zhang, Saif Ullah, Basem Al Alwan, Ahmed Alshehr, Wojciech Sumelka
    Academic press:
    Results in Physics (rok: 2021, tom: 31, strony: 104971), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.rinp.2021.104971 - link to the publication
  35. Phenomenological fractional stress–dilatancy model for granular soil and soil-structure interface under monotonic and cyclic loads
    Authors:
    Yifei Sun, Wojciech Sumelka, Torsten Wichtmann, Yufeng Gao
    Academic press:
    Acta Geotechnica (rok: 2021, tom: 16, strony: 1115-3132), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11440-021-01190-0 - link to the publication
  36. Reformulated fractional plasticity for soil-structure interface
    Authors:
    Yifei Sun, Wojciech Sumelka , Yufeng Gao
    Academic press:
    Mechanics Research Communications (rok: 2020, tom: 108, strony: 103580), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.mechrescom.2020.103580 - link to the publication
  37. Space-fractional small-strain plasticity model for microbeams including grain size effect
    Authors:
    Paulina Stempin, Wojciech Sumelka
    Academic press:
    International Journal of Engineering Science (rok: 2022, tom: 175, strony: 103672), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ijengsci.2022.103672 - link to the publication
  1. Complexity of an Identification Problem of Sharp Local Density Loss in Fractional Body
    Authors:
    Szajek K., Sumelka W.
    Book:
    In: Malinowska A., Mozyrska D., Sajewski Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering (rok: 2020, tom: 559, strony: 282-293), Wydawca: Springer
    Status:
    Published

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