Complementary variational principles for a boundary-value problem in twisting of ring sectors
Authors:
N. Anderson and A. M. Arthurs
Journal:
Quart. Appl. Math. 33 (1975), 87-89
MSC:
Primary 73.49
DOI:
https://doi.org/10.1090/qam/446025
MathSciNet review:
446025
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Abstract: Complementary variational principles associated with the boundary-value problem for stresses in close-coiled helical springs are presented. An accurate variational solution is obtained for an illustrative problem.
S. Timoshenko, Theory of elasticity, New York, 1934, pp. 355–361
A. M. Arthurs, Complementary variational principles, Oxford, 1970
- A. M. Arthurs, Dual extremum principles and error bounds for a class of boundary value problems, J. Math. Anal. Appl. 41 (1973), 781–795. MR 386299, DOI https://doi.org/10.1016/0022-247X%2873%2990249-7
W. Freiberger, Australian J. Sci. Res. 2, 354–375 (1949)
S. Timoshenko, Theory of elasticity, New York, 1934, pp. 355–361
A. M. Arthurs, Complementary variational principles, Oxford, 1970
A. M. Arthurs, J. Math. Anal. Appl. 41, 781–795 (1973)
W. Freiberger, Australian J. Sci. Res. 2, 354–375 (1949)
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Article copyright:
© Copyright 1975
American Mathematical Society
