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Analysis of expansion of spherical cavity in unbounded hyperelastic medium by method of characteristics

Untersuchung der Ausdehnung eines kugelförmigen Hohlraumes in einem unendlichen hyperelastischen Raum mit Hilfe der Charakteristikenmethode

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Summary

The finite spherically symmetric dynamic expansion of a spherical cavity in an unbounded isotropic compressible hyperelastic solid is analysed by the method of characteristics. A spatially uniform step function application of pressure at the cavity wall is considered and a numerical procedure is given for the determination of the field of characteristics and the shock front path. Results are presented for a particular strain energy function.

Zusammenfassung

Die endliche, kugelsymmetrische, dynamische Ausdehnung eines kugelförmigen Hohlraumes in einem unendlichen, isotropen, kompressiblen, hyperelastischen festen Körper wird mit Hilfe der Charakteristikenmethode untersucht. Betrachtet wird ein räumlich konstanter Sprung des Druckes an der Hohlraumoberfläche und es wird ein numerisches Verfahren zur Bestimmung des Feldes der Charakteristiken und des Weges der Stoßfront angegeben. Für eine bestimmte Verzerrungsenergiefunktion werden Resultate angegeben.

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Authors and Affiliations

  1. The University of Alberta, Edmonton, Canada

    J. B. Haddow & A. Mioduchowski

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  1. J. B. Haddow
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  2. A. Mioduchowski
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Haddow, J.B., Mioduchowski, A. Analysis of expansion of spherical cavity in unbounded hyperelastic medium by method of characteristics. Acta Mechanica 23, 219–234 (1975). https://doi.org/10.1007/BF01174020

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  • DOI: https://doi.org/10.1007/BF01174020

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