Error Analysis for Shock Equation of State Measurements in Polymers Using Manganin Gauges

  • Jennifer L. JordanEmail author
  • Daniel Casem
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Piezoresistive manganin gauges undergo a change in resistance as a function of applied stress and have been used in shock experiments to measure both longitudinal and transverse stress. Careful studies are required to calibrate the gauges where the experimental conditions are well-known. In this paper, a series of shock experiments on PMMA, where manganin gauges are used as input, propagated, and transverse gauges to measure shock velocity and stress will be analyzed to understand the sources and magnitude of error. Discussion of error propagation through the experiment will be provided.


Manganin gauge Error analysis PMMA 


  1. 1.
    Special Use Sensors – Manganin Pressure Sensor. 2014 [cited 2017 10/5]; Available from:
  2. 2.
    Bourne, N.K.: On the shock response of piezoresistive gauges. Meas. Sci. Technol. 15(2), 425–431 (2004)CrossRefGoogle Scholar
  3. 3.
    Appleby-Thomas, G.J., et al.: On the effects of lateral gauge misalignment in shocked targets. Rev. Sci. Instrum. 83(6), 063904-1–063904-8 (2012)CrossRefGoogle Scholar
  4. 4.
    Appleby-Thomas, G.J., et al.: On the interpretation of lateral manganin gauge stress measurements in polymers. J. Appl. Phys. 108(3), 033524-1–033524-9 (2010)CrossRefGoogle Scholar
  5. 5.
    Appleby-Thomas, G., Hazell, P., Stennett, C.: The variation in lateral and longitudinal stress gauge response within an RTM 6 epoxy resin under one-dimensional shock loading. J. Mater. Sci. 44(22), 6187–6198 (2009)CrossRefGoogle Scholar
  6. 6.
    Bat’Kov, Y.V., Novikov, S.A., Fishman, N.D.: Shear stresses in polymers under shock compression. AIP Conf. Proc. 370(1), 577–580 (1996)CrossRefGoogle Scholar
  7. 7.
    Bourne, N., Rosenberg, Z.: Manganin gauge and VISAR histories in shock-stressed polymethylmethacrylate. Proc. R. Soc. London Ser. A Math. Phys. Eng. Sci. 455(1984), 1259–1266 (1999)CrossRefGoogle Scholar
  8. 8.
    Bourne, N.K., Millett, J.C.F., Goveas, S.G.: The shock response of polyoxymethylene and polyethylene. J. Phys. D. Appl. Phys. 40(18), 5714–5718 (2007)CrossRefGoogle Scholar
  9. 9.
    Appleby-Thomas, G., et al.: Shock propagation in a cemented tungsten carbide. J. Appl. Phys. 105(6), 064916 (2009)CrossRefGoogle Scholar
  10. 10.
    Appleby-Thomas, G., et al.: The high strain-rate behaviour of selected tissue analogues. J. Mech. Behav. Biomed. Mater. 33, 124–135 (2013)CrossRefGoogle Scholar
  11. 11.
    Rosenberg, Z., Yaziv, D., Partom, Y.: Calibration of foil-like manganin gauges in planar shock wave experiments. J. Appl. Phys. 51(7), 3702–3705 (1980)CrossRefGoogle Scholar
  12. 12.
    Jordan, J.L., Casem, D., Zellner, M.: Shock response of Polymethylmethacrylate. J. Dyn. Behav. Mater. 2(3), 372–378 (2016)CrossRefGoogle Scholar
  13. 13.
    Forbes, J.W.: Shock wave compression of condensed matter: a primer Publisher Springer Science and Business Media Berlin, Germany (2013)Google Scholar
  14. 14.
    York, D.: Least-squares fitting of a straight line. Can. J. Phys. 44(5), 1079–1086 (1966)MathSciNetCrossRefGoogle Scholar
  15. 15.
    York, D., et al.: Unified equations for the slope, intercept, and standard errors of the best straight line. Am. J. Phys. 72(3), 367–375 (2004)CrossRefGoogle Scholar
  16. 16.
    Cantrell, C.: Technical note: review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems. Atmos. Chem. Phys. 8(17), 5477–5487 (2008)CrossRefGoogle Scholar
  17. 17.
    Rosenberg, Z., Moshel, G.: Revisiting the calibration of manganin gauges for lateral stress measurements in shock-loaded solids. J. Appl. Phys. 115(10), 103511 (2014)CrossRefGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2019

Authors and Affiliations

  1. 1.Shock and Detonation PhysicsLos Alamos National LaboratoryLos AlamosUSA
  2. 2.US Army Research Laboratory, Aberdeen Proving GroundAberdeenUSA

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