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Approximate Calculations of Spall and Cratering in High Speed Impact

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High Velocity Deformation of Solids
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Abstract

Highly simplified pictures are presented of the state of stress and the response of ductile materials for spall of plates in uniaxial strain and for cratering of a half-space caused by the high speed impact of small particles or drops of water. Crater volumes are determined by an earlier analysis of Goodier modified to take the kinetic energy transfer ratio into account. Approximate solutions are proposed for speeds of impact from a fraction of the speed of sound in the target material to several times the speed of sound. For spall, the stress-separation relation is assumed to be given by a quasi-static plasticity solution. The ratio of the limit stress to the yield strength in shear is given by the ratio of interparti-ele distances to the diameters of those particles whose fracture or separation from the matrix material dominates the geometry of separation. A spall criterion is derived for high velocity impact which appears fairly insensitive to the fine details of separation on the microscale.

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© 1979 Springer-Verlag, Berlin/Heidelberg

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Drucker, D.C. (1979). Approximate Calculations of Spall and Cratering in High Speed Impact. In: Kawata, K., Shioiri, J. (eds) High Velocity Deformation of Solids. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67208-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-67208-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67210-1

  • Online ISBN: 978-3-642-67208-8

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