Relationship of the hypercircle technique to the energy theorems |
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| Authors: | RP Shubinski CB Brown |
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| Institution: | Water Resources Engineers Inc. Springfield, Virginia USA;Department of Civil Engineering University of Washington, Seattle, Washington USA |
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| Abstract: | In this paper, a system of thermodynamic relations governing the deformation of strain-rate sensitive elastic-plastic materials is developed. These relations are obtained by assuming that the deformation and entropy of the material are dependent on stress state and temperature, and on certain internal variables which are identified in this paper with dislocation densities, and the mobile fractions of each kind of dislocation. It is postulated (on the basis of physical arguments) that the densities and fractions are governed by certain evolutionary equations. An example is given of a material that derives from these evolutionary equations under quite simple assumptions. It is shown by numerical calculations that this material exhibits the main features observed experimentally in uniaxial stress tests of metals. |
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