Representation of solutions of Lamé-Navier system (Q824144)
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scientific article; zbMATH DE number 7445077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of solutions of Lamé-Navier system |
scientific article; zbMATH DE number 7445077 |
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Representation of solutions of Lamé-Navier system (English)
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14 December 2021
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The paper deals with the solutions of the Navier equations of linear isotropic elasticity factorized in terms of a generalized \(4\times 4\) Cauchy-Riemann operators. In the introduction a detailed and comprehensive analysis of the existent solutions and techniques is presented. The main result presented in \S3 is the construction of a new generalized Kolosov-Muskhelishvili formula. The Taylor expansion of the solution is then provided.
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polynomial solution
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Taylor series expansion
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generalized Kolosov-Muskhelishvili formula
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generalized Cauchy-Riemann system
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