S. Syngellakis et A. Elzein, PLATE BUCKLING LOADS BY THE BOUNDARY-ELEMENT METHOD, International journal for numerical methods in engineering, 37(10), 1994, pp. 1763-1778
A boundary element solution of the plate buckling problem is extended
and refined to accommodate any combination of loading and support cond
itions. It is complemented by a similar boundary element formulation y
ielding the prebuckling membrane state of stress for non-uniform distr
ibutions of edge loads. Both continuous and discontinuous models of va
rious orders of approximation for boundary as well as domain unknowns
have been employed and their effect on the accuracy of the solution al
gorithm assessed. The computer code incorporates automatic mesh genera
tion schemes for both the boundary and the domain through which a wide
range of plate geometries can be discretized and analysed. Further, g
ains in both efficiency and accuracy are achieved by taking advantage
of any support and loading symmetries and reducing the formulation to
a standard eigenvalue problem. A large number of plate examples are so
lved to optimize the choice of various modelling parameters and to est
ablish the reliability of the proposed analysis.