| Project/Area Number |
19740079
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Ube National College of Technology |
|---|
Principal Investigator |
YOSHIKAWA Shuji Ube National College of Technology, 経営情報学科, 助教 (80435461)
|
|---|
| Project Period (FY) |
2007 – 2009
|
| Project Status |
Completed (Fiscal Year 2009)
|
| Budget Amount *help |
¥2,360,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥800,000 (Direct Cost: ¥800,000)
|
|---|
| Keywords | 偏微分方程式 / 形状記憶合金 / 熱弾性 / 相転移 / 調和解析 / 弾性曲線 |
|---|
| 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.
|
