A phenomenological development of a constitutive equation is presented for the high temperature viscoplastic flow of a metal. The development rests on a viscoelasticity foundation but incorporates several features of a classical metals theory. The one dimension representation is developed using the creep response, strain rate response, and stress rate response of wrought Udimet 700 at 926.7°C (1700°F). The strain response to several cyclic stress histories is successfully predicted using the model. A three dimensional theory is proposed.
An Analysis of High Temperature Metal Creep—Part II: A Constitutive Formulation and Verification
Laflen, J. H., and Stouffer, D. C. (October 1, 1978). "An Analysis of High Temperature Metal Creep—Part II: A Constitutive Formulation and Verification." ASME. J. Eng. Mater. Technol. October 1978; 100(4): 371–380. https://doi.org/10.1115/1.3443506
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