A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading |
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| Institution: | 1. Department of Mechanical & Aerospace Engineering, University of Strathclyde, James Weir Building, 75 Montrose Street, Glasgow G1 1XJ, UK;2. Key Laboratory of Pressure Systems and Safety, Ministry of Education, East China University of Science and Technology, Shanghai 200237, P.R. China;3. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R. China;1. Department of Mechanical and Aerospace Engineering, University of Strathclyde Glasgow, G1 1XJ, United Kingdom;2. Key Laboratory of Pressure Systems and Safety, Ministry of Education, East China University of Science and Technology, Shanghai 200237, PR China;3. Engineering Analysis Service Limited, Altrincham, WA14 5GL, United Kingdom;1. Department of Engineering Mechanics, AML, Tsinghua University, Beijing, 100084, China;2. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, China;3. Key Laboratory of Pressure Systems and Safety (DOE), School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, 200237, China;4. Department of Mechanical and Aerospace Engineering, University of Strathclyde, 75 Montrose Street, Glasgow G1 1XJ, Scotland, United Kingdom |
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| Abstract: | An extension of the upper bound shakedown theorem to load histories in excess of shakedown has been presented elsewhere in this issue. Here the minimisation process described therein is applied to the solutions of the ratchet limit as well as shakedown and limit load for a range of simple problems. The solutions provide an estimate of the maxima of the varying plastic strain magnitudes, which is compared with the Neuber approximate values. The position of the ratchet boundary is confirmed by comparison step-by-step analysis. |
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