Solution to Shape Optimization Problem Considering Material Non-linearity
| Autor: | Katsuhiko Watanabe, Hisashi Ihara, Hideyuki Azegami, Masatoshi Shimoda |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Work (thermodynamics)
Optimization problem Computer science Continuum (topology) Mechanical Engineering Linearity Material derivative Constraint (information theory) symbols.namesake Mechanics of Materials Lagrange multiplier symbols Applied mathematics General Materials Science Sensitivity (control systems) |
| Zdroj: | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A. 66:1111-1118 |
| ISSN: | 1884-8338 0387-5008 |
| DOI: | 10.1299/kikaia.66.1111 |
| Popis: | This paper presents a numerical solution to boundary shape optimization problems taking into account material non-linearity. The goal aimed in this paper is to minimize external work by varying a boundary shape under a volume constraint. Shape variation is described by using a one-parameter family of mappings defined in a domain where a continuum lies initially. The shape sensitivity is derived using the Lagrange multiplier method and the formula of the material derivative. A procedure to solve this problem using the traction method is presented, which one of the authors has proposed as an approach to solving domain optimization problems. The varidity of proposed method is verified by applying basic numerical examples and by comparing with results considering only linearity. |
| Databáze: | OpenAIRE |
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