Jm. Rodriguez et Jm. Viano, ASYMPTOTIC ANALYSIS OF POISSON EQUATION I N A THIN DOMAIN - APPLICATION TO THIN-WALLED ELASTIC BEAMS TORSION THEORY .2. DOMAIN WITH JUNCTIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(6), 1993, pp. 637-642
In this work we study the limit behavior of the solution of Poisson's
equation in a domain ''with junctions'' when the ''thickness'' of the
domain goes to zero. Then we apply these results to obtain the torsion
constants for thin-walled elastic beams. The same problem in a domain
''without junctions'' was considered in an earlier Note.