Studies on analysis of elastic fundamental solutions by finite element method

KAKEN
  • FUJITANI Yoshinobu
    Principal Investigator
    Hiroshima Univ. ・Faculty of Engng., Professor
  • FUJII Daiji
    Co-Investigator
    Hiroshima Univ. ・Faculty of Engng., Research Assistant

About This Project

Japan Grant Number
JP02650402 (JGN)
Funding Program
Grants-in-Aid for Scientific Research
Funding Organization
Japan Society for the Promotion of Science

Kakenhi Information

Project/Area Number
02650402
Research Category
Grant-in-Aid for General Scientific Research (C)
Allocation Type
  • Single-year Grants
Review Section / Research Field
  • Engineering > Architecture and building engineering > Building structures/materials
Research Institution
  • Hiroshima University
Project Period (FY)
1990 〜 1991
Project Status
Completed
Budget Amount*help
1,900,000 Yen (Direct Cost: 1,900,000 Yen)

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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