| Budget Amount *help |
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥7,020,000 (Direct Cost: ¥5,400,000、Indirect Cost: ¥1,620,000)
Fiscal Year 2012: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Outline of Final Research Achievements |
The second-order elastic constants (SOECs) of a solid can be determined from free-vibration acoustic resonance (FVAR) frequencies of the medium. This method, called resonant ultrasound spectroscopy, is the state-of-the-art technique for measuring the SOECs. The aim of this study is to generalize the theory of FVAR so as to determine the third-order elastic constants (TOECs) in addition to SOECs. First, we developed the theory of nonlinear FVAR for two-dimensional isotropic medium. It revealed that there exists a new type of vibration symmetry, called the colour symmetry, in nonlinear FVAR modes. We also revealed that the vibration modes can be classified on the basis of magnetic point groups rather than conventional irreducible representations of a point group. We then developed quasilinear FVAR theory for three-dimensional and anisotropic elastic medium. Numerical analysis revealed that nearly the entire TOECs can be determined from pressure dependence of FVAR frequencies.
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