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doctoral thesis
Meshless numerical method for modeling of heterogeneous materials
Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2016. urn:nbn:hr:235:710884
Jalušić, Boris
University of Zagreb
Faculty of Mechanical Engineering and Naval Architecture

Institutional repository: Repository of Faculty of Mechanical Engineering and Naval Architecture University of Zagreb

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Jalušić, B. (2016). Meshless numerical method for modeling of heterogeneous materials (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture. Retrieved from https://urn.nsk.hr/urn:nbn:hr:235:710884

Jalušić, Boris. "Meshless numerical method for modeling of heterogeneous materials." Doctoral thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2016. https://urn.nsk.hr/urn:nbn:hr:235:710884

Jalušić, Boris. "Meshless numerical method for modeling of heterogeneous materials." Doctoral thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, 2016. https://urn.nsk.hr/urn:nbn:hr:235:710884

Jalušić, B. (2016). 'Meshless numerical method for modeling of heterogeneous materials', Doctoral thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, accessed 30 November 2024, https://urn.nsk.hr/urn:nbn:hr:235:710884

Jalušić B. Meshless numerical method for modeling of heterogeneous materials [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture; 2016 [cited 2024 November 30] Available at: https://urn.nsk.hr/urn:nbn:hr:235:710884

B. Jalušić, "Meshless numerical method for modeling of heterogeneous materials", Doctoral thesis, University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:235:710884

Metadata
TitleMeshless numerical method for modeling of heterogeneous materials
Title (croatian)Bezmrežna numerička metoda za modeliranje heterogenih materijala
AuthorBoris Jalušić
MentorJurica Sorić (mentor)
Committee memberTomislav Jarak (predsjednik povjerenstva)
Committee memberJurica Sorić (član povjerenstva)
Committee memberBožidar Šarler https://orcid.org/0000-0003-0618-6873 (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Mechanical Engineering and Naval Architecture
Zagreb
Defense date and country2016-10-05, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
General Mechanical Engineering (Construction)
Universal decimal classification
(UDC)		51 - Mathematics
53 - Physics
Abstract
Meshless methods are a new class of numerical methods that only use nodes not connected into elements for the spatial discretization. In these methods the definition of approximation function with high order of continuity is simple, and more accurate solutions can be achieved for the same number of nodes when compared to the finite element method (FEM). The research conducted in the frame of the doctoral thesis is related to the improvement of numerical modeling of heterogeneous materials using meshless methods. Herein, for deformation modeling the classical linear elastic and Aifantis gradient theory employing one microstructural parameter were utilized. In both formulations the solution of the problem using a mixed approach is analyzed. The governing equations are written in strong form, hence the system matrices are computed in a simple and straightforward manner. The efficiency of the meshless methods is presented using several numerical examples. Original scientific contribution: In the dissertation a new mixed meshless collocation method for the deformation modelling of heterogeneous materials based on classical linear elastic formulation of the boundary value problem is developed. Using the mixed meshless method, greater accuracy and numerical efficiency in describing deformation processes of heterogeneous materials can be achieved, in comparison to the existing numerical meshless methods and the finite element method. Two new meshless collocation formulations based on a gradient deformation theory, which do not require numerical integration, are developed.
Abstract (croatian)
Bezmrežne metode nova su skupina numeričkih metoda koje za diskretizaciju prostora koriste samo čvorove koji nisu spojeni u elemente. Kod tih se metoda definiranje aproksimacijskih funkcija visokoga stupnja kontinuiteta provodi jednostavno te se za isti broj čvorova u usporedbi sa široko korištenom metodom konačnih elemenata (MKE) mogu dobiti točnija rješenja. Istraživanja u okviru doktorskoga rada odnosila su se na poboljšanje numeričkoga modeliranja heterogenih materijala primjenom bezmrežnih metoda. Prilikom modeliranja deformiranja korištena je klasična linearno elastična i Aifantisova gradijentna teorija, koja za opisivanje ponašanja materijala koristi jedan mikrostrukturalni parametar. U objema formulacijama razmatrano je rješavanje problema primjenom mješovitoga pristupa. Jednadžbe sustava zadovoljene su u jakoj formi te je izračunavanje matrice sustava jednostavno i brzo. Učinkovitost bezmrežnih metoda prikazana je pomoću nekoliko numeričkih primjera. Izvorni je znanstveni doprinos doktorskoga rada u razvijenoj novoj mješovitoj bezmrežnoj kolokacijskoj metodi za modeliranje deformiranja heterogenih materijala temeljenoj na linearno-elastičnoj formulaciji problema rubnih vrijednosti. Primjenom mješovite bezmrežne metode postigla se veća točnost i numerička učinkovitost pri numeričkom procesu deformiranja heterogenih materijala u odnosu na postojeće numeričke postupke temeljene na bezmrežnim metodama, kao i na metodi konačnih elemenata. Razvijene su nove bezmrežne kolokacijske formulacije temeljene na gradijentnoj deformacijskoj teoriji kod kojih nije potrebna numerička integracija.
Keywords
Keywords (english)
Languageenglish
URN:NBNurn:nbn:hr:235:710884
Study programmeTitle: Mechanical Engineering and Naval Architecture
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, područje tehničkih znanosti (doktor/doktorica znanosti, područje tehničkih znanosti)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-04-14 20:04:03