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A simplified analysis of the dynamic stress-intensity factors for the part-through surface crack in an elastic plate

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Abstract

Line-spring model was used for the simplified analysis of dynamic stress-intensity factor for part-through surface crack. Methods were presented for both evaluation of dynamic compliance of the line-spring and of dynamic stress-intensity factor along the crack front. It was found that the value of the dynamic compliance coefficient of the line-spring does not vary with the frequency of applied load and is good agreement with the analytical result given by Rice and Levy under static load conditions. To verify the validity of the present model, the dynamic stress-intensity factors were calculated for edge cracked strips in plane strain. The results obtained from the present model coincide with those obtained from the finite element analysis using quarter-point singularity elements around the crack tip. As an example of the application of the present model, the dynamic response of a plate containing a semi-elliptical surface crack was analysed where the plate is subjected to a vibrating stress at its ends.

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References

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Author notes

  1. T. -D. Hua

    Present address: Shanghai No. 1 Chemical Machinery Plant, Shanghai, China

Authors and Affiliations

  1. Department of Mechanical Engineering, Tohoku University, 980, Sendai, Japan

    T. -D. Hua & H. Abé

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  1. T. -D. Hua
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  2. H. Abé
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Hua, T.D., Abé, H. A simplified analysis of the dynamic stress-intensity factors for the part-through surface crack in an elastic plate. Computational Mechanics 5, 469–478 (1990). https://doi.org/10.1007/BF01113450

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