2009 Fiscal Year Final Research Report
On solvability and behavior of solutions for shape memory alloy systems
| Project/Area Number |
19740079
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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 | Ube National College of Technology |
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Principal Investigator |
YOSHIKAWA Shuji Ube National College of Technology, 経営情報学科, 助教 (80435461)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 偏微分方程式 / 形状記憶合金 / 熱弾性 / 相転移 / 調和解析 |
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| Research Abstract |
Shape memory alloy systems are nonlinear partial differential equations which describe the relation between displacement vector and temperature. Our results for this research subject are as follows :
(1) a dynamical stability of the steady state for the one-dimensional shape memory alloy system called the Falk model, (2) existence and uniqueness of solution to a quasilinear thermoviscoelastic system of shape memory alloys with temperature dependent specific heat,(3) a dynamical stability of the steady state for the multi-dimensional shape memory alloy systems, (4) a derivation of the system describing the dynamics of shape memory alloy wire which is placed in the three-dimensional space.
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