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Transient response of three layered composites with two interface cracks due to a line load - MaRDI portal

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Transient response of three layered composites with two interface cracks due to a line load (Q1115680)

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scientific article; zbMATH DE number 4087197
Language Label Description Also known as
English
Transient response of three layered composites with two interface cracks due to a line load
scientific article; zbMATH DE number 4087197

    Statements

    title
    Transient response of three layered composites with two interface cracks due to a line load (English)
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    author
    S. H. Smith
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    publication date
    1989
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    review text
    The dynamic response of three layered composites, with two interface cracks, subjected to an antiplane line load is analyzed. The Green's function for the uncracked medium is used along with the representation theorem to derive the scattered field. Satisfaction of the traction free condition at the crack surfaces gives rise to a system of singular integral equations for determining crack opening displacements (COD), which are then solved by expanding the unknown COD in a complete set of Chebyshev polynomials. Numerical results for two sample problems are presented, for both isotropic and anisotropic materials. Results show how significantly material anisotropy and interaction between two cracks can affect the COD in a three layered plate.
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    zbMATH Keywords
    coupled set of integral equations
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    antiplane line load
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    Green's function for the uncracked medium
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    representation theorem
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    scattered field
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    traction free condition
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    singular integral equations
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    crack opening displacements
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    complete set of Chebyshev polynomials
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    Identifiers

    DOI
    10.1007/BF01175796
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    Mathematics Subject Classification ID
    74R05
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    74E30
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    74J20
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    zbMATH DE Number
    4087197
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    OpenAlex ID
    W2091242249
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