| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
The Stroh formalism is a powerful and elegant mathematical method developed for the systematic analysis of the equations of anisotropic elasticity. The representative wrote an exposition which introduces this formalism and its applications to both static and dynamic elasticity. On the basis of this formalism he investigated the behavior of elastic surface waves called Rayleigh waves propagating near the traction-free surface. This work provides an approach to the inverse problem of determining anisotropy of the materials by making measurements of Rayleigh waves. Electrical impedance tomography, where one detects the conductivity distribution inside an unknown body from electrical measurements at the boundary, is described as inverse boundary value problems for the conductivity equation. The representative gave reconstruction formulas for the conductivity at the boundary in a general setting, using the metric tensor pertaining to the boundary surface.
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