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Stability properties of a class of viscoelastic beams of the hereditary type - MaRDI portal

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Stability properties of a class of viscoelastic beams of the hereditary type (Q1330275)

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scientific article; zbMATH DE number 605502
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English
Stability properties of a class of viscoelastic beams of the hereditary type
scientific article; zbMATH DE number 605502

    Statements

    Stability properties of a class of viscoelastic beams of the hereditary type (English)
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    3 November 1994
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    Summary: The paper deals with the problem of equilibrium stability of prismatic, homogeneous, intrinsically isotropic, viscoelastic beams subjected to the action of constant compressive axial force in the light of Lyapunov's stability theory. For a class of functional expressions for kernels characterizing the creep of no-aging viscoelastic materials of the hereditary type, solution of the governing integro-differential equations is given. Referring to polymeric materials of the PMMA type, numerical results are obtained showing the influence of the loading duration on system stability.
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    constant compressive axial force
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    Lyapunov's stability theory
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    creep
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    integro-differential equations
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    polymeric materials
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    kernels
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