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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

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The compressional modulus of a material permeated by a random distribution of circular cracks


Authors: H. D. Garbin and L. Knopoff
Journal: Quart. Appl. Math. 30 (1973), 453-464
DOI: https://doi.org/10.1090/qam/99719
MathSciNet review: QAM99719
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References | Additional Information

References [Enhancements On Off] (What's this?)

    T. T. Wu, The effect of inclusion shape on the elastic moduli of a two-phase material, Int. J. Solids Structures 2, 1–8 (1966) J. B. Walsh, Attenuation in partially melted material, J. Geophys. Res. 73, 2209–2216 (1968) J. B. Walsh, New analysis of attenuation in partially melted rock, J. Geophys. Res. 74, 4333–4337 (1969) A. K. Mal and L. Knopoff, Elastic wave velocities in two-component systems, J. Inst. Maths. Applies. 3, 376–387 (1967)
  • D. D. Ang and L. Knopoff, Diffraction of vector elastic waves by a clamped finite strip, Proc. Nat. Acad. Sci. U.S.A. 52 (1964), 201–207. MR 168193, DOI https://doi.org/10.1073/pnas.52.2.201
  • D. D. Ang and L. Knopoff, Diffraction of vector elastic waves by a finite crack, Proc. Nat. Acad. Sci. U.S.A. 52 (1964), 1075–1081. MR 172596, DOI https://doi.org/10.1073/pnas.52.4.1075
    • A. K. Mal, D. D. Ang and L. Knopoff, Diffraction of elastic waves by a rigid circular disc, Proc. Camb. Phil. Soc. 64, 237–247 (1968)

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Article copyright: © Copyright 1973 American Mathematical Society

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