Asymptotic Expansion of Temperature Close to a Singularity of a Plate

• 作者: Isabelle Titeux
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: THIN PLATE Boundary LAYERS SINGULARITIES ASYMPTOTIC Expansion
• 年，卷（期）: 2011,（3）
• 页码范围: 109-114
• 页数: 6页
• 分类号: O1

摘要

The thermal conduction in a thin laminated plate is considered here. The lateral surface of the plate is not regular. Consequently, the boundary of the middle plane admits a geometrical singularity. Close to the origin, the lateral edge forms an angle. We shall prove that the classical bidimensional problem associated with the thin plate problem is not valid. In this paper, using the boundary layer theory, we describe the local behavior of the plate, close to the perturbation.