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Mathematics, 25.10.2019 20:43 queenkimm26

Consider a sample of homogeneous, isotropic material of poisson’s ratio º and yield stress ¾y confined in a rigid cylinder, as depicted in fig. 2.2. a single stress component is applied to the material and it is assumed that there is no friction between the sample and the enclosure. (1) find the stress level ¾3 for which the sample will yield as a function of ¾y and º if the material obeys tresca’s criterion. plot your results. (2) find the stress level ¾3 for which the sample will yield as a function of ¾y and º if the material obeys von mises’ criterion. plot your results. use a range of poisson’s ratios º 2 [0; 0: 5].

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