A Global Extremum Principle in Mixed Form for Equilibrium Analysis With Elastic/Stiffening Materials (a Generalized Minimum Potential Energy Principle)

[+] Author and Article Information
J. E. Taylor

Department of Aerospace Engineering, The University of Michigan, Aerospace Engineering Building, Ann Arbor, MI 48109-2140

J. Appl. Mech 61(4), 914-918 (Dec 01, 1994) (5 pages) doi:10.1115/1.2901577 History: Received January 04, 1993; Revised May 21, 1993; Online March 31, 2008


An extremum problem formulation is presented for the equilibrium mechanics of continuum systems made of a generalized form of elastic/stiffening material. Properties of the material are represented via a series composition of elastic/locking constituents. This construction provides a means to incorporate a general model for nonlinear composites of stiffening type into a convex problem statement for the global equilibrium analysis. The problem statement is expressed in mixed “stress and deformation” form. Narrower statements such as the classical minimum potential energy principle, and the earlier (Prager) model for elastic/locking material are imbedded within the general formulation. An extremum problem formulation in mixed form for linearly elastic structures is available as a special case as well.

Copyright © 1994 by The American Society of Mechanical Engineers
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