On Beltrami--Michell equations and Saint-Venant operator (Q2760652)
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scientific article; zbMATH DE number 1682211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Beltrami--Michell equations and Saint-Venant operator |
scientific article; zbMATH DE number 1682211 |
Statements
13 December 2001
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Beltrami-Michell compatibility equations
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linear elasticity
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equilibrium equations
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Hooke law
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Saint-Venant operator
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rank-three degenerate matrix
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eigenvalues
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eigenfunctions
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stress
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displacement
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On Beltrami--Michell equations and Saint-Venant operator (English)
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The author studies the formal structure of Beltrami-Michell equations and some properties of Saint-Venant operator. It is shown that the matrix of Saint-Venant operator is a rank-three degenerate matrix, and its eigenvalues and eigenfunctions are found. The problem of elasticity theory in stresses is reduced to six equations for three stress functions and three displacement functions.
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