Publication 02-CNA-16

Bending Moment in Membrane Theory

Guy Bouchitté
Département de Mathématiques
Université de Toulon et du Var-BP 132
83957 La Garde Cedex, France
bouchitte@univ-tln.fr

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA
fonseca@andrew.cmu.edu

M. Luisa Mascarenhas
C.M.A.F., Universidade de Lisboa
Av. Prof. Gama Pinto 2
16499-003 Lisboa Codex, Portugal
mascar@ptmat.fc.ul.pt

Abstract: A model of nonlinear membrane is proposed where the external loading induces a density of bending moments. The mathematical justification of this model is obtained through a 3D-2D dimension reduction via a -convergence analysis taking into account the Cosserat vector field.

---

Get the paper in its entirety as

• 02-CNA-016.dvi
• 02-CNA-016.ps
• 02-CNA-016.pdf

Back to CNA Publications