Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens

This paper gathers experimental and theoretical investigations about both the geometry-dependent fracture initiation angle and the fracture strength in VO-notched polymethyl methacrylate (PMMA) specimens under mode I loading conditions. The numerical analyses revealed that despite the application of...

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Main Authors: Robab Bahadori, Majid Reza Ayatollahi, Sergio Cicero, José Alberto Álvarez
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/13/17/3017
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spelling doaj-89868587c6d5435fb7d1e6fcf364f61e2021-09-09T13:54:46ZengMDPI AGPolymers2073-43602021-09-01133017301710.3390/polym13173017Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA SpecimensRobab Bahadori0Majid Reza Ayatollahi1Sergio Cicero2José Alberto Álvarez3Fatigue and Fracture Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, IranFatigue and Fracture Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, IranLADICIM, Departamento de Ciencia e Ingeniería del Terreno y de los Materiales, University of Cantabria, Avenida de los Castros, 44, 39005 Santander, SpainLADICIM, Departamento de Ciencia e Ingeniería del Terreno y de los Materiales, University of Cantabria, Avenida de los Castros, 44, 39005 Santander, SpainThis paper gathers experimental and theoretical investigations about both the geometry-dependent fracture initiation angle and the fracture strength in VO-notched polymethyl methacrylate (PMMA) specimens under mode I loading conditions. The numerical analyses revealed that despite the application of pure mode I loading on the geometrically symmetric VO-notched samples, the maximum tangential stress occurs at two points symmetrically placed on either side of the notch bisector line. The experimental tests performed on some specimens showed that a crack does not necessarily propagate along the notch bisector line. Stress-based theoretical studies were then carried out to justify the experimental findings. The conventional maximum tangential stress (MTS) criterion gave weak predictions of the fracture. Therefore, the predictions were checked with the generalized MTS (GMTS) criterion by taking into consideration the higher-order stress terms. It was demonstrated that the GMTS criterion predictions have satisfactory consistency with the experimental results of the crack initiation angle and the fracture strength.https://www.mdpi.com/2073-4360/13/17/3017VO-notchPMMAmode I loadinggeneralized maximum tangential stresshigher-order termscrack initiation angle
collection DOAJ
language English
format Article
sources DOAJ
author Robab Bahadori
Majid Reza Ayatollahi
Sergio Cicero
José Alberto Álvarez
spellingShingle Robab Bahadori
Majid Reza Ayatollahi
Sergio Cicero
José Alberto Álvarez
Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
Polymers
VO-notch
PMMA
mode I loading
generalized maximum tangential stress
higher-order terms
crack initiation angle
author_facet Robab Bahadori
Majid Reza Ayatollahi
Sergio Cicero
José Alberto Álvarez
author_sort Robab Bahadori
title Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
title_short Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
title_full Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
title_fullStr Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
title_full_unstemmed Geometry Effects on Mode I Brittle Fracture in VO-Notched PMMA Specimens
title_sort geometry effects on mode i brittle fracture in vo-notched pmma specimens
publisher MDPI AG
series Polymers
issn 2073-4360
publishDate 2021-09-01
description This paper gathers experimental and theoretical investigations about both the geometry-dependent fracture initiation angle and the fracture strength in VO-notched polymethyl methacrylate (PMMA) specimens under mode I loading conditions. The numerical analyses revealed that despite the application of pure mode I loading on the geometrically symmetric VO-notched samples, the maximum tangential stress occurs at two points symmetrically placed on either side of the notch bisector line. The experimental tests performed on some specimens showed that a crack does not necessarily propagate along the notch bisector line. Stress-based theoretical studies were then carried out to justify the experimental findings. The conventional maximum tangential stress (MTS) criterion gave weak predictions of the fracture. Therefore, the predictions were checked with the generalized MTS (GMTS) criterion by taking into consideration the higher-order stress terms. It was demonstrated that the GMTS criterion predictions have satisfactory consistency with the experimental results of the crack initiation angle and the fracture strength.
topic VO-notch
PMMA
mode I loading
generalized maximum tangential stress
higher-order terms
crack initiation angle
url https://www.mdpi.com/2073-4360/13/17/3017
work_keys_str_mv AT robabbahadori geometryeffectsonmodeibrittlefractureinvonotchedpmmaspecimens
AT majidrezaayatollahi geometryeffectsonmodeibrittlefractureinvonotchedpmmaspecimens
AT sergiocicero geometryeffectsonmodeibrittlefractureinvonotchedpmmaspecimens
AT josealbertoalvarez geometryeffectsonmodeibrittlefractureinvonotchedpmmaspecimens
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