Application of the generalized infinite element method to unbounded elasto-static problems
- Release Time:2025-04-30
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Date:
2025-04-30
Title of Paper:
Application of the generalized infinite element method to unbounded elasto-static problems
Journal:
ICCM2007, 4-6 APRIL 2007, Hiroshima, Japan
Summary:
The unbounded elasto-static problem is numerically studied by combining the generalized infinite
element method and the finite element method. Based on the nature of displacement decaying, the
shape functions are constructed and the corresponding formulations are derived. Then, the
computer code is developed and the Boussinesq problem is analyzed. The results show that on one
hand for the axisymmetric case which has a theoretical decay of 1/r in displacement, the
generalized finite element method is valid and efficient, but on the other hand for the case of plane
strain, the method seems inaccurate because the plane problem of this kind lacks of the consistent
decaying at infinity in theory. So, it is concluded that the plane Boussinesq problem is a
non-problem and therefore the previous results were inappropriate.
Co-author:
L-X Li, S Kunimatsu, A-Q Wang
Translation or Not:
No
Date of Publication:
2007-04-06