An Extension of the Hu-Washizu Variational Principle in Linear Elasticity for Dynamic Problems

[+] Author and Article Information
A. D. S. Barr

Department of Mechanical Engineering, Edinburgh University, Edinburgh, Scotland

J. Appl. Mech 33(2), 465 (Jun 01, 1966) (1 page) doi:10.1115/1.3625076 History: Received July 31, 1965; Revised December 06, 1965; Online September 15, 2011


The Hu-Washizu variational principle in linear elasticity in which displacement, strain, and stress can be independently varied is extended, for application to dynamic problems, to include independent variation of the velocities associated with the displacements. Such independent variation is of value in the construction of approximate theories for beams and plates.

Copyright © 1966 by ASME
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