A general approach to axial deformation of bonded elastic mounts of various cross-sectional shapes. (English) Zbl 0786.73092

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.


74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74B05 Classical linear elasticity
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