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Stresses in an infinite circular cylinder with four cylindrical cavities - MaRDI portal

Stresses in an infinite circular cylinder with four cylindrical cavities (Q2808454)

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scientific article; zbMATH DE number 6584030
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Stresses in an infinite circular cylinder with four cylindrical cavities
scientific article; zbMATH DE number 6584030

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    23 May 2016
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    porous material with cavities
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    generalized Fourier method
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    Stresses in an infinite circular cylinder with four cylindrical cavities (English)
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    In this paper, an analytical and numerical solution of non-axisymmetric boundary value problem of elasticity theory for a cylindrical body with four cylindrical cavities is obtained by the generalized Fourier method. The problem is reduced to an infinite system of linear algebraic equations whose operator is a Fredholm operator. The convergence of the reduction method for the solution of this system is investigated. Dependences of the stress tensor principal components on the geometric parameters are established.
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