WIT Press


Elastic Inclusion Problems

Price

Free (open access)

Paper DOI

10.2495/BE000091

Volume

26

Pages

8

Published

2000

Size

584 kb

Author(s)

M.A. Jaswon

Abstract

These problems arise naturally in some solid-state phase changes of met- allurgical importance, e.g. the austenite-martensite transformation which lies at the heart of steel manufacture. Austenite is a high-temperature Fe- C alloy which generates discrete plate-like structures embedded within the parent austenite matrix, consequent upon rapid quenching, so transforming the austenite into martensitic steel. Each martensite plate can be regarded as an elastic inclusion within the matrix, which generates misfit stresses analogous to the generation of classical thermoelastic stresses by tempera- ture gradients, and with equally significant physical effects. Eshelby [1] formulated the stress field generated by an ellipsoidal elas- tic inclusion within an infinite elastic continuum, using imagined operations of cutting, space filling and welding. In effect, however, these operations a

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