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- W4309078441 abstract "In this paper, we introduce a Somigliana formula in quaternion analysis. Solutions of the Lamé-Navier system in the forms of the Grigor’ev solution, the Papkovich-Neuber solution and the Ter-Mkrtychan–Naghdi–Hsu solution are included in this Somigliana formula. In application, a new generalized Kolosov-Muskhelishvili formula is constructed. • A new Somigliana formula in quaternion analysis which covers the Grigor’ev solution, the Papkovich-Neuber solution and the Ter-Mkrtychan–Naghdi–Hsu solution. • A new generalized Kolosov-Muskhelishvili formulae in the three-dimensional linear elasticity where displacement fields are represented in terms of two monogenic functions in quaternion analysis in arbitrary bounded domains with smooth boundary." @default.
- W4309078441 created "2022-11-21" @default.
- W4309078441 creator A5048511116 @default.
- W4309078441 date "2022-11-01" @default.
- W4309078441 modified "2023-09-25" @default.
- W4309078441 title "Somigliana formula in quaternion analysis" @default.
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- W4309078441 doi "https://doi.org/10.1016/j.mechrescom.2022.104018" @default.
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