Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri
In this study, general introduction and methodology of fracture mechanics analysis of plate are developed. The geometrical nonlinearities are due to large deformation or rotation. Two major theories in the analysis of plates consist of Kirchhoff and Reissner- Mindlin plate theories which former i...
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| Format: | Thesis |
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2013
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| Online Access: | http://studentsrepo.um.edu.my/8232/ http://studentsrepo.um.edu.my/8232/6/FRACTURE_MECHANICS_ANALYSIS_OF_GEOMETRICALLY_NONLINEAR_THIN_PLATES_BY_FEM.pdf |
| _version_ | 1848773600468795392 |
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| author | Hamid, Taheri |
| author_facet | Hamid, Taheri |
| author_sort | Hamid, Taheri |
| building | UM Research Repository |
| collection | Online Access |
| description | In this study, general introduction and methodology of fracture mechanics analysis of
plate are developed. The geometrical nonlinearities are due to large deformation or
rotation. Two major theories in the analysis of plates consist of Kirchhoff and Reissner-
Mindlin plate theories which former is suited for thin plates and latter for thicker plates.
In order to perform geometrically nonlinear plate analysis, bending problems includes
the interaction of plate out of plane bending and in-plane loadings. Different methods
for the crack tip calculations of stress intensity factor were proposed which among them
crack tip displacement method were found to be more convenient and straight forward
for implementation based on specifically formed elements at the crack tip. During the
implementation of ANSYS® codes, it was noticed that by applying modified Newton-
Raphson method with carefully selected numbers of iterations and sub-steps both
accuracy and time are served. Two different finite element method simulations of
geometrically nonlinear plate structures were performed. A square and a rectangular
plate possessing a center crack were subjected to different boundary conditions of
clamped and simply supported edges separately. In both examples, the range of bending
stress intensity factors was higher than the membrane stress intensity factor. By having
aspect ratios of width divided by length of the geometry, b l , upper than 1, the bending
stress intensity factor after a certain number of load increments is increasing
significantly while the membrane stress intensity factor is not having any considerable
changes for the clamped edges condition but has comparable amount for the simply
supported edges. |
| first_indexed | 2025-11-14T13:44:59Z |
| format | Thesis |
| id | um-8232 |
| institution | University Malaya |
| institution_category | Local University |
| last_indexed | 2025-11-14T13:44:59Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | um-82322018-04-27T08:43:44Z Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri Hamid, Taheri T Technology (General) TJ Mechanical engineering and machinery In this study, general introduction and methodology of fracture mechanics analysis of plate are developed. The geometrical nonlinearities are due to large deformation or rotation. Two major theories in the analysis of plates consist of Kirchhoff and Reissner- Mindlin plate theories which former is suited for thin plates and latter for thicker plates. In order to perform geometrically nonlinear plate analysis, bending problems includes the interaction of plate out of plane bending and in-plane loadings. Different methods for the crack tip calculations of stress intensity factor were proposed which among them crack tip displacement method were found to be more convenient and straight forward for implementation based on specifically formed elements at the crack tip. During the implementation of ANSYS® codes, it was noticed that by applying modified Newton- Raphson method with carefully selected numbers of iterations and sub-steps both accuracy and time are served. Two different finite element method simulations of geometrically nonlinear plate structures were performed. A square and a rectangular plate possessing a center crack were subjected to different boundary conditions of clamped and simply supported edges separately. In both examples, the range of bending stress intensity factors was higher than the membrane stress intensity factor. By having aspect ratios of width divided by length of the geometry, b l , upper than 1, the bending stress intensity factor after a certain number of load increments is increasing significantly while the membrane stress intensity factor is not having any considerable changes for the clamped edges condition but has comparable amount for the simply supported edges. 2013-02-15 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/8232/6/FRACTURE_MECHANICS_ANALYSIS_OF_GEOMETRICALLY_NONLINEAR_THIN_PLATES_BY_FEM.pdf Hamid, Taheri (2013) Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri. Masters thesis, University of Malaya. http://studentsrepo.um.edu.my/8232/ |
| spellingShingle | T Technology (General) TJ Mechanical engineering and machinery Hamid, Taheri Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title | Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title_full | Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title_fullStr | Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title_full_unstemmed | Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title_short | Fracture mechanics analysis of geometrically nonlinear thin plates by FEM /Hamid Taheri |
| title_sort | fracture mechanics analysis of geometrically nonlinear thin plates by fem /hamid taheri |
| topic | T Technology (General) TJ Mechanical engineering and machinery |
| url | http://studentsrepo.um.edu.my/8232/ http://studentsrepo.um.edu.my/8232/6/FRACTURE_MECHANICS_ANALYSIS_OF_GEOMETRICALLY_NONLINEAR_THIN_PLATES_BY_FEM.pdf |