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Master's Thesis
Author of thesis: Bc. Michal Žitňan
Acad. year: 2025/2026
Supervisor: Ing. Filip Kšica, Ph.D.
Reviewer: Ing. Petr Marcián, Ph.D.
This master’s thesis focuses on bistable auxetic structures, which are characterized by a negative Poisson’s ratio and the ability to remain in two stable equilibrium states. The main objective of the thesis was the design, manufacturing, and experimental testing of structures based on a modified square rotating unit cell, with an emphasis on compa ring their real mechanical behaviour with the results of numerical modelling during the transition between two stable states. The theoretical part presents a literature review focused on the operating principles of bistable auxetic structures, their applications, ma nufacturing technologies, and approaches to numerical modelling. In the practical part, a sensitivity analysis of the geometric and material parameters was performed using the SHAP method with respect to the energy barrier and the extensibility of the unit cells. The obtained results made it possible to quantify the influence and behavioural character of each parameter. Based on these findings, experimental specimens were designed and manufactured using additive manufacturing technology. An important result of the thesis was the development of a finite element model of the entire structure. Previous conver gence issues were eliminated by introducing a hyperelastic material model calibrated using data from a uniaxial tensile test. Numerical simulations confirmed the sequential opening of individual rows of unit cells, and validation demonstrated high agreement between experimental measurements and the numerical model in predicting the total extensibility of the structure in the second stable state, with a maximum deviation of 5.8 %. Differences in the maximum force were mainly caused by simplifications in the numerical model and by manufacturing inaccuracies between the ideal and the actual fabricated geometry. A major technological contribution of the thesis was the design and manufacturing of multi material structures. By combining rigid and elastic materials, these structures enabled targeted modification of the critical neck region, reduced the influence of manufacturing inaccuracies, and increased their effective extensibility.
Bistable auxetic structures, parameter sensitivity analysis, SHAP, finite element method, additive manufacturing
Date of defence
10.06.2026
Result of the defence
Defended (thesis was successfully defended)
Grading
A
Process of defence
Student ve vymezeném čase prezentoval svou závěrečnou práci. Následně byly přečteny posudky vedoucího a oponenta spolu s přiloženými dotazy, na které student odpověděl. Následně student zodpověděl doplňující dotazy: Jaké je praktické využití uvedených struktur? Proč byla zvolena uvedená struktura? Lišily se výsledky testování podle rychlosti zatěžování? Zkoumal se vztah velikosti buňky k velikosti vzorku? Byl použitý materiálový model stejný pro oba materiály na vzorku? Po zodpovězení všech dotazů bylo vystoupení hodnoceno jako: A - výborně.
Language of thesis
Slovak
Faculty
Fakulta strojního inženýrství
Department
Institute of Solid Mechanics, Mechatronics and Biomechanics
Study programme
Engineering Mechanics and Biomechanics (N-IMB-P)
Specialization
Engineering Mechanics (IME)
Composition of Committee
prof. Ing. Jan Vimmr, Ph.D. (předseda) prof. Ing. Luboš Náhlík, Ph.D. (místopředseda) prof. Ing. Jindřich Petruška, CSc. (člen) prof. RNDr. Michal Kotoul, DrSc. (člen) prof. Ing. Jiří Burša, Ph.D. (člen) prof. Ing. Pavel Hutař, Ph.D. (člen) prof. Ing. Jaroslav Zapoměl, DrSc. (člen) Ing. Jaroslav Suchánek (člen) doc. Ing. Tomáš Návrat, Ph.D. (člen)
Supervisor’s reportIng. Filip Kšica, Ph.D.
Grade proposed by supervisor: A
Reviewer’s reportIng. Petr Marcián, Ph.D.
Grade proposed by reviewer: A
Responsibility: Mgr. et Mgr. Hana Odstrčilová