A general approach to axial deformation of bonded elastic mounts of various cross-sectional shapes

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Abstract

Bonded elastic mounts of various cross-sections (three dimensional) are widely used in engineering. Previous approximate explicit analyses have mainly been restricted to two-dimensional analysis. None of the previous approximate analyses are based solely on the formal general equations of elasticity but involve mixed assumptions not necessarily related to each other. In this paper an approximate explicit three-dimensional solution is obtained that is reasonable, easy to use, and compares well with experimental data. The method developed makes use of a variational principle that is equivalent to the general equations of elasticity expressed in terms of the displacement and a scalar function associated with the mean pressure. The analysis developed here unifies previous analyses and allows scope for better approximations. Upper and lower bounds on the axial nominal stress, energy, and apparent Young's modulus are given.

Original languageBritish English
Pages (from-to)430-436
Number of pages7
JournalApplied Mathematical Modelling
Volume17
Issue number8
DOIs
StatePublished - Aug 1993

Keywords

  • compressible
  • general approach
  • three-dimensional bonded mounts

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