On the mathematical description of the tensile stress-strain curves of polycrystalline face centered cubic metals |
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| Affiliation: | 1. State Key Laboratory of Intelligent Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;2. School of Engineering & Innovation, The Open University, Walton Hall, Milton Keynes, MK7 6AA, United Kingdom;3. Department of Mechanical Engineering, The University of Akron, Akron, OH 44325, USA;4. Department of Mechanical & Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68583, USA |
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| Abstract: | The stress-strain curves of polycrystalline face centered cubic metals (aluminium, copper, gold, silver and nickel) were measured by an Instron tensile test machine controlled by a computer registering 20 points per second along the load-elongation curve. The large number of measured points makes it possible to perform a detailed analysis of the mathematical structure of the stress-strain curves. General conditions are introduced which must be fulfilled by the functions which approximately describe the whole stress-strain curves. It is shown that the limiting value of a special set of suitable functions in practice describes the stress-strain curves exactly. |
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