Complementary variational principles for a boundary-value problem in twisting of ring sectors
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 0386299, https://doi.org/10.1016/0022-247X(73)90249-7
-  W. Freiberger, Australian J. Sci. Res. 2, 354-375 (1949)
Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.49
Retrieve articles in all journals with MSC: 73.49