Jm. Rodriguez et Jm. Viano, ASYMPTOTIC ANALYSIS OF POISSON EQUATION I N A THIN DOMAIN - APPLICATION TO THIN-WALLED ELASTIC BEAMS TORSION THEORY .1. DOMAIN WITHOUT JUNCTIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(4), 1993, pp. 423-428
The objective of this work is to study the limit behavior of the solut
ion of Poisson's equation when the thickness of the domain goes to zer
o and then apply these results to obtain the torsion constants for thi
n-walled elastic beams. In this Note, we only consider profiles ''with
out junctions ''. In a later Note we shall study the case ''with junct
ions ''.