Development of nonsmooth mechanics approach to analysis and design of strongly nonlinear structures

2014 Fiscal Year Final Research Report

• Project/Area Number: 23560663
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Building structures/materials
• Research Institution: The University of Tokyo
• Principal Investigator: YOSHIHIRO Kanno 東京大学, 情報理工学(系)研究科, 准教授 (10378812)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 接触問題 / 弾塑性解析 / 半正定値計画 / 凸解析 / 摩擦 / 張力構造

Outline of Final Research Achievements

Nonsmooth mechanism is methodology to deal with various mechanical behaviors of structures without resorting to approximation or trial-and-error methods. Interests of nonsmooth mechanics include elastoplastic problems, contact mechanics, friction, crack, masonry structures, wear, membranes, etc. In this study we attempted to understand various nonlinear problems in structural engineering within the framework of nonsmooth mechanics, and proposed efficient algorithms for those problems. Moreover, based on such modeling, we proposed some new design methods for structures with unusual functions, such as a frame structure with the negative Poisson's ratio.

Free Research Field

建築構造力学，数理工学