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The penny-shaped crack in three-dimensional electrostriction

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Zusammenfassung

Zur Untersuchung der Spannungs- und Verschiebungsfelder in einem unendlichen elastischen Dielektrikum verwenden wir die dreidimensionale lineare ungekoppelte Theorie der Elektrostriktion.

Von besonderem Interesse ist das Wesen der Spannungs-Singularität am Rande eines flachen kreisförmigen Spaltes innerhalb der begrenzenden Geometrie. Ein zweifacher Sachverhalt wurde festgestellt: 1. diese Spannungs-Singularität kann von höherer Ordnung sein als diejenige, welche mit den klassischen Umgebungen mechanischer und thermischer Art verknüpft ist;2. diese Singularität neigt nicht dazu, den Spalt in bezug auf eine spannungslose Spaltoberfläche auszubreiten. Die obigen Ergebnisse stimmen mit unseren früheren zweidimensionalen Analysen überein.

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References

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Authors and Affiliations

  1. Mathematics Department, Sandia Laboratories, Albuquerque, New Mexico, USA

    William E. Warren

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  1. William E. Warren
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This work was supported by the United States Atomic Energy Commission.

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Warren, W.E. The penny-shaped crack in three-dimensional electrostriction. Journal of Applied Mathematics and Physics (ZAMP) 20, 966–974 (1969). https://doi.org/10.1007/BF01592305

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  • DOI: https://doi.org/10.1007/BF01592305

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