2012 Fiscal Year Final Research Report
Mathematical Analysis for the Thermo-Elasto-Plasticity of Shape Memory Alloys
| Project/Area Number |
22740097
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Ehime University (2011-2012)
Ube National College of Technology (2010) |
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Principal Investigator |
YOSHIKAWA Shuji 愛媛大学, 大学院・理工学研究科, 准教授 (80435461)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 非線形偏微分方程式, / 熱弾性 / 塑性 / 相転移 / 形状記憶合金 |
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| Research Abstract |
Shape memory alloys system is one of thermo-elastic (thermo-visco-elasto-plastic) systems which describe the relation between displacement vector and temperature. We studied equations related to these topics. Our results for this research subject are as follows : (1) stability of steady state for multi-dimensional shape memory alloys system (2) smoothing effect and asymptotic profile of the solution for semilinear beam equation with weak damping, (3) asymptotic profiles of solutions for the Cahn-Hilliard equation with inertial term, (4) asymptotic profiles of solutions for the Falk-Konopka system of shape memory alloys with weak damping.
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