Universal features of elastic notch-tip stress fields |
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| Affiliation: | 1. National Technical University of Athens, School of Applied Mathematical & Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Zografou Campus, 157 73 Athens, Greece;2. University of West Attica, Department of Electrical and Electronics Engineering, Electronic Devices and Materials Laboratory, 250 Thivon Avenue, 122 44 Athens, Greece;1. INEGI, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;2. Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;3. UNIDEMI, Department of Mechanical and Industrial Engineering, NOVA School of Science and Technology, Universidade NOVA de Lisboa, Caparica 2928-516, Portugal;4. CONSTRUCT, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;5. Department of Civil and Structural Engineering, The University of Sheffield, Mappin Street, Sheffield S1 3JD, United Kingdom;1. School of Mechanical & Electrical Engineering, Xuzhou University of Technology, Xuzhou 221118, China;2. State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Harbin 150001, China;3. College of Mechanical Engineering and Automation, Huaqiao University, Xiamen 361021, China;4. Xuzhou XCMG Mining Machinery Company, Xuzhou, 221000, China;5. Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology (NTNU), Richard Birkelands vei 2b, 7491 Trondheim, Norway;1. Institute for Building Materials, ETH Zurich, Switzerland;2. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY, USA |
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| Abstract: | The results of linear elastic analyses of stress distributions near a wide variety of notches are presented. Notches under tension, tension and bending, and pure bending have been considered. It is demonstrated that notch-tip stress fields are similar to each other regardless of the notch geometry and the loading system. Universal functions describing the stress field in the notch-tip neighbourhood have been derived and tested againts available analytical, numerical and experimental data. The universal expressions can be used to calculate stresses in the region x⩽ 3ρ from the notch tip. These expressions can be particularly useful when using the weight function method to calculate stress intensity factors for cracks emanating from notches. |
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