12. Constitutive Model for Damaged Borosilicate Glass

  1. Lisa Prokurat,
  2. Andrew Wereszczak and
  3. Edgar Lara-Curzio
  1. Sidney Chocron,
  2. James D. Walker,
  3. Arthur E. Nichoils,
  4. Charles E. Anderson and
  5. Kathryn A. Dannemann

Published Online: 26 MAR 2008

DOI: 10.1002/9780470291368.ch11

Advances in Ceramic Armor II: Ceramic Engineering and Science Proceedings, Volume 27, Issue 7

Advances in Ceramic Armor II: Ceramic Engineering and Science Proceedings, Volume 27, Issue 7

How to Cite

Chocron, S., Walker, J. D., Nichoils, A. E., Anderson, C. E. and Dannemann, K. A. (2008) Constitutive Model for Damaged Borosilicate Glass, in Advances in Ceramic Armor II: Ceramic Engineering and Science Proceedings, Volume 27, Issue 7 (eds L. Prokurat, A. Wereszczak and E. Lara-Curzio), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470291368.ch11

Author Information

  1. Southwest Research Institute PO Drawer 28510 San Antonio, Texas 78228-0510

Publication History

  1. Published Online: 26 MAR 2008
  2. Published Print: 1 JAN 2006

ISBN Information

Print ISBN: 9780470080573

Online ISBN: 9780470291368

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Keywords:

  • predamaged;
  • constitutive equations;
  • plasticity model;
  • numerical simulations;
  • ballistic penetration

Summary

An experimental technique developed in a previous paper, and consisting of testing a predamaged specimen inside a steel sleeve, is used to obtain the data to develop the constitutive equations (elastic and plastic behavior) for Borofloat® 33 glass. The glass was chosen as the specimen because it is easy to fail in that configuration. This paper first briefly summarizes the experimental technique and then shows that, if the specimen follows a Drucker-Prager plasticity model it is possible to determine, with the help of an analytical model, the elastic and plastic constants from the slopes of the axial stress vs. axial strain and axial stress vs. hoop strain curves measured in the laboratory tests. The paper determines the constants and shows how the model compares with the test data available so far. The analytical model is verified with the help of LS-DYNA in 2-D and 3-D numerical simulations. The analytical and numerical models allow a double check of different assumptions and confirm that the experimental technique is a valid procedure to determine the elastic and plastic constants. The constants can then be used in very different computations like ballistic penetration.