On Solutions of the Lame System in a Flat Anisotropic Medium
The Lamè system on the plane is considered for the displacement vector in a general anisotropic medium. Cases of explicit calculation of the roots of its characteristic equation are indicated. It is proved that this system cannot be written in the complex form of a single equation. An integral repre...
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
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2023
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/handle/123456789/2343 |
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oai:scholar.dlu.edu.vn:123456789-23432023-06-14T05:00:02Z On Solutions of the Lame System in a Flat Anisotropic Medium A P Soldatov Trần, Quang Vương The Lamè system on the plane is considered for the displacement vector in a general anisotropic medium. Cases of explicit calculation of the roots of its characteristic equation are indicated. It is proved that this system cannot be written in the complex form of a single equation. An integral representation of general solution of the Lamè system is received in the class of continuous functions in a closed domain. The kernel and co-kernel of this representation are described. In orthotropic and isotropic an elastic medium, their explicit expression is given in terms of elastic modulus. Applications to the solution of two main boundary value problems of the theory of elasticity are also indicated. 2023-05-20T02:17:08Z 2023-05-20T02:17:08Z 2021 Journal article Bài báo đăng trên tạp chí quốc tế (có ISSN), bao gồm book chapter https://scholar.dlu.edu.vn/handle/123456789/2343 en |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| description |
The Lamè system on the plane is considered for the displacement vector in a general anisotropic medium. Cases of explicit calculation of the roots of its characteristic equation are indicated. It is proved that this system cannot be written in the complex form of a single equation. An integral representation of general solution of the Lamè system is received in the class of continuous functions in a closed domain. The kernel and co-kernel of this representation are described. In orthotropic and isotropic an elastic medium, their explicit expression is given in terms of elastic modulus. Applications to the solution of two main boundary value problems of the theory of elasticity are also indicated. |
| format |
Journal article |
| author |
A P Soldatov Trần, Quang Vương |
| spellingShingle |
A P Soldatov Trần, Quang Vương On Solutions of the Lame System in a Flat Anisotropic Medium |
| author_facet |
A P Soldatov Trần, Quang Vương |
| author_sort |
A P Soldatov |
| title |
On Solutions of the Lame System in a Flat Anisotropic Medium |
| title_short |
On Solutions of the Lame System in a Flat Anisotropic Medium |
| title_full |
On Solutions of the Lame System in a Flat Anisotropic Medium |
| title_fullStr |
On Solutions of the Lame System in a Flat Anisotropic Medium |
| title_full_unstemmed |
On Solutions of the Lame System in a Flat Anisotropic Medium |
| title_sort |
on solutions of the lame system in a flat anisotropic medium |
| publishDate |
2023 |
| url |
https://scholar.dlu.edu.vn/handle/123456789/2343 |
| _version_ |
1778233856284950528 |