Application of Hamilton’s Principle to Large Deformation and Flow Problems

[+] Author and Article Information
S. Dost

Aegean University, Izmir, Turkey

B. Tabarrok

Department of Mechanical Engineering, University of Toronto, Toronto, Canada M5S 1A4

J. Appl. Mech 46(2), 285-290 (Jun 01, 1979) (6 pages) doi:10.1115/1.3424543 History: Received April 01, 1978; Revised October 01, 1978; Online July 12, 2010


Application of Hamilton’s principle to large deformation and flow problems is examined with an emphasis on derivation of the Eulerian equations of motion as stationary conditions of the functional. It is shown that Eulerian variations can be admitted in Hamilton’s functional providing certain side constraints are imposed. Finally the Complementary Energy principle is briefly examined and difficulties in admitting Eulerian variations in this principle are discussed.

Copyright © 1979 by ASME
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