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Error estimates for a sixth-order theory of plate bending - MaRDI portal

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Error estimates for a sixth-order theory of plate bending (Q1092717)

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scientific article; zbMATH DE number 4020603
Language Label Description Also known as
English
Error estimates for a sixth-order theory of plate bending
scientific article; zbMATH DE number 4020603

    Statements

    title
    Error estimates for a sixth-order theory of plate bending (English)
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    author
    Zenon Rychter
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    publication date
    1987
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    review text
    A refined linear theory for the bending of anisotropic, homogeneous plates which takes account of transverse shear deformation and transverse normal stress is rigorously validated by embedding it in the linear theory of elasticity. Three-dimensional displacement and stress fields are constructed from the two-dimensional plate theory and shown by the hypersphere theorem to approximate exact elasticity solutions with a relative mean square error proportional to the plate thickness cubed. This improves previous estimates for sixth-order theories involving error bounds proportional to the square of thickness.
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    zbMATH Keywords
    Rehfield Valisetty theory
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    refined linear theory
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    bending
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    anisotropic, homogeneous plates
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    transverse shear deformation
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    transverse normal stress
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    Three-dimensional displacement and stress fields
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    two-dimensional plate theory
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    hypersphere theorem
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    approximate exact elasticity solutions
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    relative mean square error
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    sixth-order theories
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    error bounds
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    square of thickness
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    Identifiers

    DOI
    10.1007/BF00132678
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    zbMATH DE Number
    4020603
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    OpenAlex ID
    W2084266010
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