Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Formulation and analysis of a functional equation describing a moving one-dimensional elastic phase boundary

Author: Thomas J. Pence
Journal: Quart. Appl. Math. 45 (1987), 293-304
MSC: Primary 73D99; Secondary 35R35
DOI: https://doi.org/10.1090/qam/895099
MathSciNet review: 895099
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Abstract: Certain elastic solids when subjected to sufficiently high loads abruptly change their mechanical properties and yet continue to respond elastically to further loading. In one dimension such mechanically induced elastic phase transitions may be due to a nonmonotonic stress-strain relationship. This appears to be particularly true for certain mineral crystals, such as calcite.

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DOI: https://doi.org/10.1090/qam/895099
Article copyright: © Copyright 1987 American Mathematical Society

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