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Unilateral buckling of thin elastic plates by the boundary integral equation method
Author(s) -
Bezine G.,
Cimetiere A.,
Gelbert J. P.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620211206
Subject(s) - buckling , eigenvalues and eigenvectors , mathematics , boundary value problem , mathematical analysis , integral equation , matrix (chemical analysis) , iterative method , boundary (topology) , geometry , structural engineering , materials science , mathematical optimization , physics , engineering , composite material , quantum mechanics
The unilateral buckling of thin elastic plates, according to Kirchhoff's theory, is studied by using a boundary integral method. A representation for the second member of the equation is given. In the matrix formulatiea, boundary unknowns are eliminated; therefore, the unilateral buckling problem reduces to compute the eigenvalues and the eigenvectors of a matrix depending on the contact zone with the rigid foundation. An iterative process allows this zone and the buckling load to be computed. The capacities of the proposed method are illustrated by four examples.