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Constitutive Laws for Ceramics Exhibiting Stress-Induced Martensitic Transformation

Published online by Cambridge University Press:  25 February 2011

John C. Lambropoulos
John C. Lambropoulos*
Affiliation:
Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627, U.S.A.
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Abstract

The theory of internal variables is used in order to develop multiaxial constitutive laws for ceramics undergoing martensitic stress-assisted transformation, such as partially stabilized zirconia or A12O3-ZrO2. The internal variable is identified with the volume concentration of transformed particles, and we assume that transformation occurs so that the change in potential energy due to the transformation is maximized. When the rate of transformation depends on the applied stresses only through the corresponding change in potential energy, it is shown that the inelastic strain rates are along the normal of a stress function in stress space. The constitutive law depends on all three stress invariants. We further discuss specific stress environments such as crack tip fields, the special case of homogeneous transforming particle distribution, and conditions under which normality is not obeyed.

Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 78: Symposium E – Advances in Structural Ceramics , 1986 , 35
Copyright
Copyright © Materials Research Society 1987

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References

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