Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Nonaxisymmetric punch and crack problems for initially stressed bodies

Author: Leon M. Keer
Journal: Quart. Appl. Math. 23 (1965), 97-107
DOI: https://doi.org/10.1090/qam/99945
MathSciNet review: QAM99945
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Abstract: Using the theory developed by England and Green [1] for thermoelastic problems for initially stressed bodies and a certain class of potential functions, a group of punch and crack problems are solved. The requirement for solution is that the boundary data be expressible as a trignometric series with the coefficient of each term of the series a function of radial distance from the center of the punch or crack. The solutions are obtained by inversion of Abel's integral equation.

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DOI: https://doi.org/10.1090/qam/99945
Article copyright: © Copyright 1965 American Mathematical Society

American Mathematical Society