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Spherical wave propagation in a viscoplastic medium

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Summary

A study is presented of the problem of spherical wave propagation in an infinite viscoplastic medium. The surface of a spherical cavity is subjected to a uniform impact load which is continuously maintained. The material is elastic/viscoplastic, satisfying Mises condition, isotropic hardening, and viscoplastic incompressibility. A generalized form of Malvern's constitutive relation is used with a bilinear static shear stressshear strain curve, the method of characteristics, and an IBM 7040–7094 digital computer. Particular emphasis is placed on the influence of strain hardening and of the viscosity coefficient. It is shown that changes in the strain hardening coefficient and in the viscosity coefficient have considerable influence on the results, which is to some extent unexpected in view of previous work on this subject.

Übersicht

Eine konkave innere Oberfläche wird durch eine konstante gleichmäßig verteilte Kraft belastet. Das Material wird als elastisch-viscoplastisch angenommen mit isotroper Verfestigung und viscoplastischer Inkompressibilität; es genügt der von Mises'schen Fließbedingung. Es werden eine sinngemäße Erweiterung der Malvernschen Materialgleichung und numerische Lösungen für ein Material mit bilinearer Schubspannungs- and Scherungskennlinie angegeben. Dabei zeigt sich überraschenderweise, daß Änderungen des Verfestigungskoeffizienten und der Viscosität die spherische Wellenausbreitung erheblich beeinflussen.

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Authors and Affiliations

  1. Department of Engineering and Applied Science, Yale University, 06520, New Haven, Connecticut, USA

    A. Phillips

  2. Department of Physics, Fairfield University, Fairfield, Connecticut, USA

    M. P. Zabinski

Authors
  1. A. Phillips
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  2. M. P. Zabinski
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Additional information

This investigation was supported by the National Science Foundation under a grant to Yale University.

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Phillips, A., Zabinski, M.P. Spherical wave propagation in a viscoplastic medium. Ing. arch 41, 367–376 (1972). https://doi.org/10.1007/BF00533139

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  • DOI: https://doi.org/10.1007/BF00533139

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