The axisymmetric problem of a disc in a bimaterial sandwich – the (history dependent) scalar potential case. (English) Zbl 0902.73046
Summary: The axisymmetric potential problem of a disc in a bimaterial sandwich is considered. A (history dependent) medium (2) with relaxation modules \(G_2\) is sandwiched between a medium (1) with relaxation modulus \(G_1\). The two media are welded together. The interaction of a disc shaped region with a remote applied field is considered. In particular, the variation of the potential field close to the rim of the disc as a function of the layer thickness and the material properties of the sandwich is investigated. A variety of asymptotic techniques are used to elucidate properties for both very small and very large values of the layer thickness, and the results are verified and extended to intermediate thickness by numerical solution of integral equations.
Keywords:
asymptotic techniquesReferences:
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