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A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading

The problem of mixed-mode fatigue crack growth has been a persistent research challenge. The determination of fatigue crack propagation direction directly impacts the safety and integrity of components and structures, making it crucial in various industrial applications, including welded drilling pi...

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Main Author: Matar, Nahla Helmy
Format: Thesis
Published: AUC Knowledge Fountain 2027
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access_status_str Open Access
author Matar, Nahla Helmy
author_browse Matar, Nahla Helmy
author_facet Matar, Nahla Helmy
author_sort Matar, Nahla Helmy
collection Thesis
description The problem of mixed-mode fatigue crack growth has been a persistent research challenge. The determination of fatigue crack propagation direction directly impacts the safety and integrity of components and structures, making it crucial in various industrial applications, including welded drilling pipes, aerospace, and automotive engineering. Unlike uniaxial loading, mixed-mode cracks tend to change direction frequently (kinking), and nonproportional loading adds to the complexity of the problem. This research aims to estimate the crack propagation direction and fatigue crack life in linear elastic materials subjected to mixed-mode (I+II) loading conditions under proportional or non-proportional cyclic loading. Numerical software was developed based on the Maximum Energy Release Rate (MERR) approach, which offers many advantages over other crack propagation criteria. The crack propagation path in a thin-walled cylinder subjected to axial and torsional fatigue loading is investigated. The loading phase difference ranged from 0° (proportional) to nonproportional phase angles up to 90°. The model simulates crack propagation in small increments over angles from 0° to 360°, and the energy release rate is calculated at each angle. The angle at which the crack releases the maximum energy is taken as the crack's direction. Results from the numerical simulations were validated against experimental and finite element data from the literature and compared with prior studies, proving good agreement with all.
format Thesis
id oai:fount.aucegypt.edu:etds-3884
institution American University in Cairo (Egypt)
last_indexed 2026-07-01T04:02:56.486Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from AUC Knowledge Fountain — bepress
publishDate 2027
publishDateRange 2027
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publisher AUC Knowledge Fountain
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source_str AUC Knowledge Fountain — bepress
spelling oai:fount.aucegypt.edu:etds-3884 A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading Matar, Nahla Helmy The problem of mixed-mode fatigue crack growth has been a persistent research challenge. The determination of fatigue crack propagation direction directly impacts the safety and integrity of components and structures, making it crucial in various industrial applications, including welded drilling pipes, aerospace, and automotive engineering. Unlike uniaxial loading, mixed-mode cracks tend to change direction frequently (kinking), and nonproportional loading adds to the complexity of the problem. This research aims to estimate the crack propagation direction and fatigue crack life in linear elastic materials subjected to mixed-mode (I+II) loading conditions under proportional or non-proportional cyclic loading. Numerical software was developed based on the Maximum Energy Release Rate (MERR) approach, which offers many advantages over other crack propagation criteria. The crack propagation path in a thin-walled cylinder subjected to axial and torsional fatigue loading is investigated. The loading phase difference ranged from 0° (proportional) to nonproportional phase angles up to 90°. The model simulates crack propagation in small increments over angles from 0° to 360°, and the energy release rate is calculated at each angle. The angle at which the crack releases the maximum energy is taken as the crack's direction. Results from the numerical simulations were validated against experimental and finite element data from the literature and compared with prior studies, proving good agreement with all. 2027-01-31T08:00:00Z dissertation application/pdf https://fount.aucegypt.edu/etds/2819 https://fount.aucegypt.edu/context/etds/article/3884/viewcontent/Nahla_Helmy_Matar_Thesis.pdf Theses and Dissertations AUC Knowledge Fountain Solid Mechanics fracture Mechanics Fatigue Nonproportional Fatigue Life Crack propagation Applied Mechanics Computer-Aided Engineering and Design Structural Materials
spellingShingle Solid Mechanics
fracture Mechanics
Fatigue
Nonproportional
Fatigue Life
Crack propagation
Applied Mechanics
Computer-Aided Engineering and Design
Structural Materials
Matar, Nahla Helmy
A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title_full A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title_fullStr A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title_full_unstemmed A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title_short A Maximum Energy Release Rate Computational Framework for Fatigue Crack Trajectory and Life Prediction under Mixed-Mode Proportional and Nonproportional Loading
title_sort maximum energy release rate computational framework for fatigue crack trajectory and life prediction under mixed mode proportional and nonproportional loading
topic Solid Mechanics
fracture Mechanics
Fatigue
Nonproportional
Fatigue Life
Crack propagation
Applied Mechanics
Computer-Aided Engineering and Design
Structural Materials
url https://fount.aucegypt.edu/etds/2819
https://fount.aucegypt.edu/context/etds/article/3884/viewcontent/Nahla_Helmy_Matar_Thesis.pdf
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