| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
With application of fracture phenomena in mind, we studied the behavior of solutions of partial differential equations at crack tips. In a case of nonlinear equations we did not achieve anything new, but we found a toehold to solve the problem. In a case of boundary value problems in two dimensional elasticity with rigid line inclusions, we proved the existence and uniqueness of the solution and derived the convergent series expansion of the solution near the tip of the rigid inclusion. As an application of this study, we considered a reconstruction problem for cavities in three dimensional linear viscoelasticity, and we established a formula extracting three kinds of information about the unknown cavity from measured data on the boundary.
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