Abstract
In Chapters 3–14, we considered two-dimensional states of stress involving the in-plane displacements \(u_x,u_y\) and stress components \(\sigma _{xx},\sigma _{xy},\sigma _{yy}\). Another class of two-dimensional stress states that satisfy the elasticity equations exactly is that in which the in-plane displacements \(u_x,u_y\) are everywhere zero, whilst the out-of-plane displacement \(u_z\) is independent of z — i.e.
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Notes
- 1.
This problem is analogous to Cattaneo’s problem discussed in §12.8.1.
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Barber, J.R. (2022). Antiplane Shear. In: Elasticity. Solid Mechanics and Its Applications, vol 172. Springer, Cham. https://doi.org/10.1007/978-3-031-15214-6_15
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DOI: https://doi.org/10.1007/978-3-031-15214-6_15
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