AN ENERGY METHOD APPROACH TO THE PROBLEM OF ELASTIC STRIP

Authors
OVASKAINEN O PITKARANTA J
Citation
O. Ovaskainen et J. Pitkaranta, AN ENERGY METHOD APPROACH TO THE PROBLEM OF ELASTIC STRIP, SIAM journal on applied mathematics, 58(3), 1998, pp. 999-1021
Citations number
32
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
58
Issue
3
Year of publication
1998
Pages
999 - 1021
Database
ISI
SICI code
0036-1399(1998)58:3<999:AEMATT>2.0.ZU;2-K
Abstract
We analyze a thin elastic, homogeneous strip under a smooth load and s everal different types of boundary conditions. The strip is assumed to obey either a plane strain or a plane stress type deformation of line ar theory of elasticity. We characterize the 2D solution and consider dimension reduction of arbitrary order n. Both interior and global ene rgy estimates for the reduction error are derived.