2003 Fiscal Year Final Research Report Summary
Correlation of Fractional Derivative Structure and Fractal Structure of High Polymer Materials
| Project/Area Number |
13450095
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Dynamics/Control
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| Research Institution | Iwaki Meisei University |
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Principal Investigator |
SHIMIZU Nobuyuki Iwaki Meisei University, College of Science and Technology, Professor, 理工学部, 教授 (10196529)
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| Co-Investigator(Kenkyū-buntansha) |
SATO Kenichi Nihon University, College of Engineering, Professor, 工学部, 教授 (30060130)
SATO Yoshihiro Sophia University, Faculty of Science and Technology, Instructor, 理工学部, 講師 (60053716)
TAKUYA Yasuno Iwaki Meisei University, College of Science and Technology, Associate Professor, 理工学部, 助教授 (90262237)
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| Project Period (FY) |
2001 – 2003
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| Keywords | high polymer material / fractal geometry / fractional derivative / net density / SEM picture / viscoelastic material / nonlinearity / fractional diffusion equation |
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| Research Abstract |
The correlation of the fractional derivative structure and the fractal geometry in viscoelastic materials is tried to be found from the theoretical and experimental approaches. The detailed study points are
1. Experiments for establishing fractional derivative model for viscoelastic material,
2. Dynamical test for acrylic rubber,
3. Observation of the structure of viscoelastic body by the electric microscope,
4. Clarification of the contacting point between fractional, derivative model and fractal geometry.
and the following detailed results are obtained;
・Numerical solution of fractional diffusion equation with source point,
・Some relations of fracture phenomenon and fractal model,
・Relation of the density and the fractional derivative parameters of acrylic rubber,
・Nonlear behavior of viscoelastic material by the actuation experiment.
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Research Products
(16 results)
