Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 

 

Wave propagation in rods of Voigt material and visco-elastic materials with three-parameter models


Author: J. A. Morrison
Journal: Quart. Appl. Math. 14 (1956), 153-169
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/78848
MathSciNet review: 78848
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Abstract: The problem of an impulsively applied and subsequently maintained constant velocity at the end of a semi-infinite rod of Voigt material is considered and integral expressions are obtained for the velocity and stress distributions in the rod. Apart from a constant factor the stress distribution arising from an impulsively applied constant stress at the end of the rod is the same as the velocity solution above. The same problem is considered also for materials with three-parameter models. The stress distributions for both the case of constant applied stress and constant applied velocity are represented graphically for the materials considered, dimensionless co-ordinates being used.


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DOI: https://doi.org/10.1090/qam/78848
Article copyright: © Copyright 1956 American Mathematical Society


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