Abstract
In this chapter, we shall consider a class of problems for the semi-infinite wedge defined by the lines α<θ<β, illustrated in Figure 11.1.
We first consider the case in which the tractions on the boundaries vary with r n, in which case equations (8.10, 8.11) suggest that the required stress function will be of the form
The function f(θ) can be found by substituting (11.1) into the biharmonic equation (8.16), giving the ordinary differential equation
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Barber, J.R. (2010). Wedge Problems. In: Elasticity. Solid Mechanics and Its Applications, vol 172. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3809-8_11
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DOI: https://doi.org/10.1007/978-90-481-3809-8_11
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Publisher Name: Springer, Dordrecht
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Online ISBN: 978-90-481-3809-8
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