1991 Fiscal Year Final Research Report Summary
Studies on analysis of elastic fundamental solutions by finite element method
| Project/Area Number |
02650402
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
Building structures/materials
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| Research Institution | Hiroshima University |
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Principal Investigator |
FUJITANI Yoshinobu Hiroshima Univ. ・Faculty of Engng., Professor, 工学部, 教授 (50034369)
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| Co-Investigator(Kenkyū-buntansha) |
FUJII Daiji Hiroshima Univ. ・Faculty of Engng., Research Assistant, 工学部, 助手 (00212184)
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| Project Period (FY) |
1990 – 1991
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| Keywords | Fundamental Solution / Elastic Fundamental Solution / Finite Element Method / Kelvin's Solution / Boussinesq's Solution / Cerruti's Solution / Singularity Solution / Crack |
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| Research Abstract |
1. Generally, the elastic fundamental solutions in the two and three dimensional elastic body can be aalysed as a eigen-value problem by finite element method.
2. However, the analysis of two dimensional Kelvin's. Boussinesq's and Cerruti's solution results in not the eigenvalue equation, but a simultaneous equation.
3. In three dimensional solutions, though Kelvin's and Boussinesq's solutions can be analyzed as an axi-symmetric problem. Cerruti's solution must be an alysed as plane-symmetric problem.
4. The elastic fundamental solutions and crack front solutions has the stress singularity with r^<lambda-1>. The former has an negative integer power, the later has an real or complex power in 0<lambda<1.
5. The elestic fundamental solutions obtained by the present finite element method have a good convergence to the exact solution.
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Research Products
(12 results)
