Realizability of Force and Displacement Systems

by William R. Spillers, (M.ASCE), Prof. of Civ. Engrg.; Rensselaer Polytechnic Inst., Troy, N.Y.,
Eleftherios Lefcochilos, Research Asst.; Rensselaer Polytechnic Inst., Troy, N.Y.,

Serial Information: Journal of the Structural Division, 1978, Vol. 104, Issue 8, Pg. 1193-1202

Document Type: Journal Paper


Motivated by optimization problems in which it is sometimes convenient to neglect constitutive equations and work with force systems that only satisfy equilibrium, the additional constraints imposed by the use of constitutive equations are considered in this paper. It is shown that the question of the existence of structures that reproduce a given equilibrium system can be posed as a problem of linear systems and that Farkas' Lemma is central to its solution. The effect of pressure is also considered.

Subject Headings: Displacement (mechanics) | Constitutive relations | Equilibrium | Motivation | Linear functions

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