Napetostno stanje v slojevitem cilindričnem telesu med hitrim ohlajanjem

Gramc, Urban (author), Brojan, Miha (author)

V magistrski nalogi obravnavamo vpliv hitrega ohlajanja na človeški zob, ki ga opredelimo kot večplastno strukturo. Zaradi izpostavljenosti hladnejšemu mediju, se zob začne ohlajati, kot posledica temperaturne spremembe pa se ustvari napetostno stanje, ki lahko povzroči poškodbo zoba ali še dodatno poslabša že obstoječo poškodbo. Za analizo termomehanskega stanja v zobu izdelamo različne modele, ki upoštevajo različne geometrijske omejitve in različne pristope k reševanju problema, pri čemer v osnovi ločimo reševanje stacionarnega in nestacionarnega prevoda toplote. Modeli nam omogočajo napovedovanje ter analizo napetostnega in deformacijskega stanja v zobu glede na izbrane vhodne parametre. Z njihovim spreminjanjem prikažemo vpliv temperaturne razlike na velikost napetostnega stanja v zobu. Bistvena ugotovitev analize je, da večja temperaturna sprememba prispeva k večji amplitudi napetosti, hkrati pa večja temperaturna razlika terja tudi daljši čas do vzpostavitve stacionarnega stanja v zobu.

• Language: Slovenian
• Keywords: človeški zob, prevod toplote, napetostno stanje, večplastna struktura, temperaturna porazdelitev
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [U. Gramc]
• Year: 2022
• Number of pages: XXII, 81 str.
• PID: 20.500.12556/RUL-139359
• UDC: 539.4.012:621.78.082:616.314(043.2)
• COBISS.SI-ID: 120019715
• Publication date in RUL: 01.09.2022

Secondary language

• Language: English
• Title: Stress state in a laminated cylindrical body during rapid cooling

Abstract

In this master thesis we analyze the influence of rapid cooling on human tooth, which we characterize as a laminated structure. Due to exposure to colder medium, the tooth starts to cool down and the temperature change induces stresses in the tooth that can cause a new injury or worsens the existing one. To analyze the thermomechanical state inside the tooth we build various models, that take into account different geometrical restrictions and different approaches, such as varying between stationary and non-stationary heat transfer. These models allow us to predict and analyze the stress and deformation states in the tooth based on the selected input parameters. Through their modification we present the influence of the temperature difference on the amplitude of the stress state in human tooth. The main conclusion of the analysis is that larger temperature change contributes to higher stress amplitudes and at the same time require more time to reach stationary condition in the tooth.

• Keywords: human tooth, heat transfer, stress state, laminated structure, temperature distribution