THE PARTITION OF UNITY METHOD FOR THE ELASTICALLY SUPPORTED BEAM

Authors
BABUSKA I ZHANG ZM
Citation
I. Babuska et Zm. Zhang, THE PARTITION OF UNITY METHOD FOR THE ELASTICALLY SUPPORTED BEAM, Computer methods in applied mechanics and engineering, 152(1-2), 1998, pp. 1-18
Citations number
16
Categorie Soggetti
Computer Science Interdisciplinary Applications",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
152
Issue
1-2
Year of publication
1998
Pages
1 - 18
Database
ISI
SICI code
0045-7825(1998)152:1-2<1:TPOUMF>2.0.ZU;2-L
Abstract
The partition of unity method (PUM) is used to solve the Timoshenko be am with elastic support. Some important features of this new method ar e addressed, but the main concern is to overcome locking and to resolv e boundary layer. We prove that by a proper selection of the local bas is functions, the method is free of locking at the thin beam limit and exhibits no numerical boundary layer for strong elastic support. Opti mal convergent rate is established in the energy norm, and it is unifo rmly valid with respect to the thickness of the beam and toughness of the elastic support. Furthermore, the computed shear stress is also co nvergent uniformly with optimal rate.