On the complete solution to problems of deformation of a plastic-rigid material |
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| Affiliation: | 1. Department of Mechanical and Aerospace Engineering, University of Texas, Arlington, TX 76019, USA;2. Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899 USA;1. Key Laboratory of Safety Control for Bridge Engineering of the Ministry of Education, Changsha University of Science & Technology, Changsha 410114, China;2. School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China;3. School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, China;4. School of Energy and Power Engineering, Changsha University of Science & Technology, Changsha 410114, China;5. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;1. Department of Mechanical and Aerospace Engineering, University of Texas, Arlington, TX 76019, USA;2. Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA;1. Associate Professor, Department of Operative Dentistry, National and Kapodistrian University of Athens, Athens, Greece;2. Professor and Director, Division of Prosthodontics, University of Minnesota School of Dentistry, Minneapolis, Minn;3. Professor, Department of Dental Specialities, Mayo Clinic, Rochester, Minn;4. Adjunct Assistant Professor, Department of Restorative Dentistry, Loma Linda University, Loma Linda, Calif;1. Visiting Associate Professor, Department of Periodontology and Oral Medicine, University of Michigan, Ann Arbor, Mich;5. Contributing Faculty, Department of Public Health, Walden University, Minneapolis, Minn |
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| Abstract: | The problem of finding an equilibrium distribution of stress not exceeding the yield point in the assumed rigid regions of a deforming body is considered. Theorems, based on the limit-load theorems of Hill, are given for determining whether such a stress distribution exists. A method is given for constructing a stress solution in the rigid region, and illustrated by consideration of the yielding of notched bars in plane strain and plane stress, and extrusion under plane strain conditions. |
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