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Representing general solution of equations in theory of elasticity by harmonic functions (Q1069728)

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scientific article; zbMATH DE number 3936611
Language Label Description Also known as
English
Representing general solution of equations in theory of elasticity by harmonic functions
scientific article; zbMATH DE number 3936611

    Statements

    title
    Representing general solution of equations in theory of elasticity by harmonic functions (English)
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    publication date
    1986
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    review text
    The general solution of the equations in the theory of elasticity is represented by seven harmonic functions, where there are only three harmonic functions independent of each other and every one of them has certain mechanics meaning. Examples applying the general solution to solve several simple inverse problems in elastostatics are presented.
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    zbMATH Keywords
    solution with constant components of stresses
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    thick plate
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    constant volume expansion
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    three independent functions
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    no body forces
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    equations in terms of displacements
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    general solution
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    represented by seven harmonic functions
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    inverse problems in elastostatics
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    author
    Yiyong Nie
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    Identifiers

    DOI
    10.1007/BF01897060
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    zbMATH DE Number
    3936611
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    OpenAlex ID
    W2047199569
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