Boundary layer realization in thin elastic three-dimensional domains and two-dimensional Hierarchic plate models

✍ Scribed by M. Dauge; Z. Yosibash

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 961 KB
• Volume: 37
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(99)00004-9

✦ Synopsis

Herein we address the behavior of the linear elastic solution in three-dimensional thin domains, especially near the boundaries, and compare it to the approximated solution obtained by dimension reduced two-dimensional hierarchic plate models. The mathematical analysis is backed-up by numerical simulations using the p-version of the ®nite element method. We identify mathematically, and more importantly, quantify the engineering quantities which are rapidly changing in a boundary layer. We also investigate how well (if at all) the two-dimensional plate-models solutions approximate the three-dimensional solution inside and outside of the boundary layers.