Transition theory of elastic-plastic deformation, creep and relaxation

Seth, B. R. (1962) Transition theory of elastic-plastic deformation, creep and relaxation Nature, 195 . pp. 896-897. ISSN 0028-0836

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The classical macroscopic treatment of problems in plasticity, creep and relaxation has to assume semi-empirical yield conditions like those of Tresca, Von Mises and creep-strain laws like those of Norton, Odqvist, Kachanov and others. This is a direct consequence of using linear strain measures, which neglect the non-linear transition region through which the yield occurs and the fact that creep and relaxation strains are never linear. Tresca pointed out that a transition state, which he called the mid-zone, existed, and Todhunter and Pearson have supported him. In this state the whole of the material participates, and not simply a line or selected region, as is assumed by classical theories. Sir Lawrence Bragg expresses this view when he points out that an element of a crystal, embedded in the matrix, should be pictured as being strained together with the whole mass of the metal, and hence the slip must take place by a whole intra-atomic distance. A recent numerical investigation on flow and deformation theories also shows that a continuous approximation through a transition state leads to a satisfactory convergent solution.

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Deposited On:22 Nov 2011 13:14
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