2013 Fiscal Year Final Research Report
Establishment of theory on deformable body mechanics based on non-convexity of state transition in multistable systems
| Project/Area Number |
23656071
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Engineering fundamentals
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| Research Institution | Osaka University |
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Principal Investigator |
NAKATANI Akihiro 大阪大学, 工学(系)研究科(研究院), 教授 (50252606)
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| Co-Investigator(Renkei-kenkyūsha) |
DOI Yusuke 大阪大学, 大学院・工学研究科, 准教授 (10403172)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 計算力学 / 変形体力学 / 不安定現象 / 連続体力学 / シュミレーション |
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| Research Abstract |
A theory of deformable body mechanics has been studied based on understanding the deformation of solid subjected to external force as a transition from one stable point to another stable point. While energy function with respect to variables of state has convex property in the vicinity of each stable point, some non-convex region exists in transition state between the stable points. Such non-convexity has been focused on to obtain essential understanding for establishment of multiscale theory which clarify a relationship between microscopic phenomena and macroscopic characters of the different systems.
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