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- W2893750457 abstract "A nonlinear inverse problem of antiplane elasticity for a multiply connected domain is examined. It is required to determine the profile of $n$ uniformly stressed inclusions when the surrounding infinite body is subjected to antiplane uniform shear at infinity. A method of conformal mappings of circular multiply connected domains is employed. The conformal map is recovered by solving consequently two Riemann-Hilbert problems for piecewise analytic symmetric automorphic functions. For domains associated with the first class Schottky groups a series-form representation of a ($3n-4$) parametric family of conformal maps solving the problem is discovered. Numerical results for two and three uniformly stressed inclusions are reported and discussed." @default.
- W2893750457 created "2018-10-05" @default.
- W2893750457 creator A5083341264 @default.
- W2893750457 date "2018-09-28" @default.
- W2893750457 modified "2023-10-16" @default.
- W2893750457 title "Method of automorphic functions for an inverse problem of antiplane elasticity" @default.
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- W2893750457 doi "https://doi.org/10.48550/arxiv.1809.11151" @default.
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