On the Somigliana dislocations associated with applications of the Neuber-Papkovich solution in multiply-connected regions

摘要

The study aims to explain the problem of single-valuedness of the mean stress and dilatation in multiply-connected regions. It is shown that in multiply-connected regions, dis- placement representation potentials, in particular the Neuber-Papkovich potentials, have to be submitted to the integral conditions in order to avoid the many-valuedness.