Exact Singular Solutions for an Inhomogeneous Thick Elastic Plate

  • A. J. M. Spencer
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)


The author and co-workers have developed and applied ai [1–7] a procedure for deriving a large class of exact solutions of the three-dimensional field equations of linear elasticity for plates that are isotropic but inhomogeneous in the through-thickness direction. Here the technique is applied to several problems in which the corresponding two- dimensional problem involves a singular stress field. A feature is that in every case the presence of inhomogeneity results in an increase in the order of the singularity.


Inhomogeneous elastic plates concentrated forces higher order elastic singularities Volterra dislocations semi-infinite crack 


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • A. J. M. Spencer
    • 1
  1. 1.School of Mathematical SciencesUniversity of NottinghamNottinghamUK

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