Strain energy release rate determination of stress intensity factors by finite element methods |
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| Affiliation: | 1. Shanghai Key Laboratory of Psychotic Disorders, SHARP Program, Shanghai Mental Health Center, Shanghai Jiaotong University School of Medicine, Shanghai, China;2. Worcester Recovery Center & Hospital, Massachusetts Department of Mental Health, MA, USA;3. McLean Hospital, Schizophrenia and Bipolar Disorder Research Program, Belmont, MA, USA;4. Florida A&M University, Department of Psychology, Tallahassee, FL, USA;5. Department of Psychology, Northeastern University, Boston, MA, USA;6. Department of Psychiatry, VA Boston Healthcare System, Brockton Division, Brockton, MA, USA;7. Psychiatry Neuroimaging Laboratory, Department of Psychiatry, Brigham and Women''s Hospital, Harvard Medical School, Boston, MA, USA;8. Department of Psychiatry, Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, MA, USA;9. Department of Radiology, Brigham and Women''s Hospital, Harvard Medical School, Boston, MA, USA;10. Research and Development, VA Boston Healthcare System, Brockton Division, Brockton, MA, USA;1. State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Harbin 150001, China;2. School of Ocean Engineering, Harbin Institute of Technology, Weihai 264209, China;3. Joining and Welding Research Institute, Osaka University, 11–1 Mihogaoka, Ibaraki, Osaka 567-0047, Japan |
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| Abstract: | The determination of the Mode I stress intensity factors for selected crack configurations, using finite element methods and energy release rate principles, is the subject of this study. The crack configurations which were investigated are the double edge crack, the single edge crack and the center crack. The method of analysis utilized was the “Stiffness Derivative Method.” This approach relates the change in strain energy resulting from crack advancement, to the change in the stiffness matrix of the structure containing the crack. The results indicated that through mesh optimization and proper control of certain parameters including the crack advance increment, the crack tip element contour size and mesh refinement, an accurate solution can be calculated with a relatively coarse finite element mesh consisting entirely of contemporary elements. The numerically generated solutions are compared with analytical solutions with the results within 0.001% of each other for the double edge crack, 0.858% for the single edge crack and 2.021% for the center crack. |
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