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An Axisymmetric Boundary Value Problem of Mixed Type for a Half-space
Published online by Cambridge University Press: 20 January 2009
Extract
In problems in the mathematical theory of elasticity related to the symmetric deformation of an infinite elastic solid with an external crack we encounter the problem of determining an axisymmetric function φ(ρ, z) which is harmonic in the half-space z>0 and satisfies the mixed boundary conditions
on the plane boundary z = 0, where it is assumed that f(ρ) is continuously differentiable in [1, ∞). Further φ→0 as √(ρ2+z2)→∞.
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- Copyright © Edinburgh Mathematical Society 1962
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