A centrally cracked thin circular disk, Part I: 3D Elastic–plastic finite element analysis |
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Authors: | Tapan K Paul Akhtar S Khan |
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Institution: | 1School of Aerospace and Mechanical Engineering, The University of Oklahoma, Norman, OK 73019, USA;2The Department of Mechanical Engineering, The University of Maryland Baltimore County, 1000 Hilltop Circle, ECS Building, Baltimore, MD 21250, USA |
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Abstract: | A full field solution, based on small deformation, three-dimensional elastic–plastic finite element analysis of the centrally cracked thin disk under mode I loading has been performed. The solution for the stresses under small-scale yielding and lo!cally fully plastic state has been compared with the HRR plane stress solution. At the outside of the 3D zone, within a distance of rσo/J=18, HRR dominance is maintained in the presence of a significant amount of compressive stress along the crack flanks. Ahead of this region, the HRR field overestimate the stresses. These results demonstrate a completely reversed state of stress in the near crack front compared to that in the plane strain case. The combined effect of geometry and finite thickness of the specimen on elastic–plastic crack tip stress field has been explored. To the best of our knowledge, such an attempt in the published literature has not been made yet. For the qualitative assessment of the results some of the field parameters have been compared to the available experimental results of K, gives a fair estimate of the crack opening stress near the crack front at a distance of order 10−2 in. On the basis of this analysis, the Linear Elastic Fracture Mechanics approach has been adopted in analyzing the fatigue crack extension experiments performed in the disk (Part II). |
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Keywords: | Sheet metal Elastoplasticity Finite element method Plastic deformation Stress analysis Cracks Compressive stress Strain Load testing Stress intensity factors Fracture mechanics Fatigue of materials Aluminum alloys Linear elastic fracture mechanics |
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