Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Continuity conditions at wave fronts in coupled thermoplasticity


Author: A. D. Fine
Journal: Quart. Appl. Math. 25 (1967), 121-128
DOI: https://doi.org/10.1090/qam/99906
MathSciNet review: QAM99906
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Abstract | References | Additional Information

Abstract: The mass, momentum, and energy conservation requirements at wave fronts (or surfaces of discontinuity) are reduced to a form suitable for use in the coupled thermoplastic analysis. Constitutive equations are introduced in these relations, and, for one-dimensional situations, it is shown that an isothermal (or adiabatic) wave front separating regions of elastic and plastic behavior will propagate with the same speed as an isothermal (or adiabatic) surface of discontinuity lying completely inside a domain of plastic deformation. A new thermoplastic coupling parameter is obtained from an example involving spherical symmetry.


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Additional Information

DOI: https://doi.org/10.1090/qam/99906
Article copyright: © Copyright 1967 American Mathematical Society


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