Explicit Analytic Solution for the Plane Elastostatic Problem with a Rigid Inclusion of Arbitrary Shape Subject to Arbitrary Far-Field Loadings

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We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with a rigid inclusion. Our analysis is based on the boundary integral formulation of the elastostatic problem and geometric function theory. Specifically, we use the coordinate system provided by the exterior conformal mapping of the inclusion to define a density basis functions on the boundary of the inclusion, and we use the Faber polynomials associated with the inclusion for a basis inside the inclusion. The latter, which constitutes the main novelty of our approach, allows us to obtain an explicit series solution for the plane elastostatic problem for an inclusion of arbitrary shape in terms of the given arbitrary far-field loading.
Publisher
SPRINGER
Issue Date
2021-04
Language
English
Article Type
Article
Citation

JOURNAL OF ELASTICITY, v.144, no.1, pp.81 - 105

ISSN
0374-3535
DOI
10.1007/s10659-021-09828-6
URI
http://hdl.handle.net/10203/285236
Appears in Collection
MA-Journal Papers(저널논문)
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