A Layer-Wise Laminate Theory Rationally Deduced From the Three-Dimenstonal Elasticity

[+] Author and Article Information
P. Bisegna

Department of Civil Engineering, University of Rome “Tor Vergata”, 00133 Rome, Italy

E. Sacco

Department of Industrial Engineering, University of Cassino, 03043 Cassino, Italy

J. Appl. Mech 64(3), 538-545 (Sep 01, 1997) (8 pages) doi:10.1115/1.2788926 History: Received January 26, 1996; Revised October 20, 1996; Online October 25, 2007


A layer-wise theory of laminated plates, which accounts for piecewise constant shear strain in the thickness, is derived from the three-dimensional elasticity theory by imposing suitable constraints on the strain and stress fields. At this aim, the functional of the three-dimensional elasticity is modified according to the Lagrange multipliers theory. In fact, a nonstandard application of the Lagrange theory is presented, because of the simultaneous presence of constraints on dual spaces. The imposed constraints make reactive strain and stress fields arise. Thus, it is necessary to distinguish between elastic and total strain and stress fields. The difference between them is emphasized in a numerical application.

Copyright © 1997 by The American Society of Mechanical Engineers
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