Določitev elastičnih konstant gumijaste cevi pod notranjim tlakom

Mohorič, Maj (author), Brojan, Miha (mentor)

V nalogi je predstavljen alternativen način določanja elastičnih konstant cevi, izdelanih iz nestisljivih hiperelastičnih materialov. Najprej smo analitično izpeljali zvezi med notranjim tlakom v cevi in zunanjim raztezkom cevi po neo-Hookeovskem in Mooney-Rivlinovem materialnem modelu. Sledila je izvedba dveh eksperimentov. Pri drugem eksperimentu so bile uvedene izboljšave napram prvemu. Med eksperimentoma je bila cev obremenjena tako, kot bi bila v vsakdanji uporabi. Izračunali smo strižna modula v eksperimentu uporabljenih cevi. Primerjali smo rezultate dobljene z uporabo neo-Hookejevskega in Mooney-Rivlinovega materialnega modela. Ugotovili smo, da uporaba enostavnejšega neo-Hookejevskega modela ni zanesljiva medtem ko z uporabo Mooney-Rivlinovega modela pridobimo ustrezne rezultate.

• Language: Slovenian
• Keywords: hiperelastičnost, Neo-Hookeovski model, Mooney-Rivlinov model, {cev pod notranjim tlakom
• Work type: Bachelor thesis/paper
• Organization: FS - Faculty of Mechanical Engineering
• Year: 2024
• PID: 20.500.12556/RUL-160203
• Publication date in RUL: 23.08.2024

Secondary language

• Language: English
• Title: Determining elastic constants of rubber tubes under internal pressure

Abstract

This thesis presents an alternative method for determining the elastic constants of pipes made of incompressible hyperelastic materials. First, the relationships between the internal pressure in the pipe and increase of the external circumferance of the pipe are analytically derived according to the neo-Hookean and Mooney-Rivlin material models. This was followed by conducting two experiments, where the second one was improved compared to the first one. During the experiment, the pipe was subjected to same load as it would be in everyday use. The shear modulus of the pipes used in the experiment was calculated. The results obtained using the neo-Hookean and Mooney-Rivlin material models were compared. We found that the use of the simpler neo-Hookean model is not reliable whereas the use of the Mooney-Rivlin model gives adequate results.

• Keywords: elastic constants, Neo-Hookean material model, Mooney-Rivlin material model, tube under internal pressure