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master's thesis
Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti
Zagreb: University of Zagreb, Faculty of Science, 2024. urn:nbn:hr:217:077686
Lovrić, Mirna
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Lovrić, M. (2024). Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:077686

Lovrić, Mirna. "Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:077686

Lovrić, Mirna. "Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:077686

Lovrić, M. (2024). 'Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:077686

Lovrić M. Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2024 [cited 2024 July 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:077686

M. Lovrić, "Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:217:077686

Metadata
TitleOptimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti
Title (english)Optimization of Cypher stent edge thickness from three-dimensional elasticity
AuthorMirna Lovrić
MentorJosip Tambača (mentor)
Committee memberJosip Tambača (predsjednik povjerenstva)
Committee memberEduard Marušić-Paloka (član povjerenstva)
Committee memberAleksandra Čižmešija (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2024-05-02, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu detaljnije smo objasnili ulogu stenta u medicini. Pri tome je posebna pažnja posvećena Cypher stentu. Zatim smo s matematičke strane opisali zadaću koja opisuje deformaciju i pomak stenta pri djelovanju sila, pri čemu stent nije nigdje učvršćen (pure traction zadaća). Pokazali smo na kojem prostoru funkcija rješenje problema postoji i da je jedinstveno. Konačno smo implementirali geometriju Cypher stenta i pure traction zadaću kada na stent djeluje sila tlaka iznutra te kada na njega djeluje bending sila koja ga savija. Pri tim zadaćama posebno smo promatrali podatljivost (eng. compliance) stenta s ciljem da to svojstvo minimiziramo kada na stent djeluje sila tlaka, odnosno da ga maksimiziramo kada na stent djeluje bending sila.
Abstract (english)
In this work, we have elaborated on the role of stents in medicine, with particular emphasis on the Cypher stent. Then, from a mathematical perspective, we described a task that would accurately depict the deformation and displacement of the stent under the influence of force, with the stent remaining unyielding (pure traction problem). We demonstrated the space of functions where a solution exist and be unique. Finally, we implemented the geometry of the Cypher stent and the pure traction task when the stent is subjected to internal pressure force and bending force that bends it. In these tasks, we specifically observed the compliance of the stent in order to minimize this property when pressure force acts on it and maximize it when bending force acts on it.
Keywords
Languagecroatian
URN:NBNurn:nbn:hr:217:077686
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-05-21 12:48:14