Diffraction of elastic waves by an elliptic crack. II (Q1081345)

From MaRDI portal





scientific article; zbMATH DE number 3970186
Language Label Description Also known as
English
Diffraction of elastic waves by an elliptic crack. II
scientific article; zbMATH DE number 3970186

    Statements

    Diffraction of elastic waves by an elliptic crack. II (English)
    0 references
    0 references
    1987
    0 references
    A recently developed integral equation technique [see part I, ibid. 22, 729-739 (1984; Zbl 0551.73029)] is used to obtain a low frequency solution for the diffraction of a plane compressional or shear wave by an elliptic crack embedded in an elastic medium. The mixed boundary value problem is reduced to a coupld system of integro-differential equations. A formal power series solution for the coupled system of integro- differential equations is developed. Attention is focussed on the farfield scattered amplitudes and the dynamic stress intensity factor. The limiting values when the ellipse degenerate into a circle agree with those of a circular crack.
    0 references
    integral equation technique
    0 references
    low frequency solution
    0 references
    diffraction
    0 references
    plane compressional or shear wave
    0 references
    elliptic crack
    0 references
    elastic medium
    0 references
    coupld system of integro-differential equations
    0 references
    formal power series solution
    0 references
    farfield scattered amplitudes
    0 references
    dynamic stress intensity factor
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references