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Full-Field Strain Measurement and Identification of Composites Moduli at High Strain Rate with the Virtual Fields Method

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Abstract

The present paper deals with full-field strain measurement on glass/epoxy composite tensile specimens submitted to high strain rate loading through a split Hopkinson pressure bar (SHPB) device and with the identification of their mechanical properties. First, the adopted methodology is presented: the device, including an Ultra-High Speed camera, and the experimental procedure to obtain relevant displacement maps are described. The different full-field results including displacement, strain and acceleration maps for two mechanical tests are then addressed. The last part of the paper deals with an original procedure to identify stiffnesses on this dynamic case only using the actual strain and acceleration maps (without the applied force) by using the Virtual Fields Method. The results provide very promising values of Young’s modulus and Poisson’s ratio on a quasi-isotropic glass-epoxy laminate. The load reconstructed from the moduli and strains compares favourably with that from the readings.

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Notes

  1. It has to be underlined that, normally, the virtual fields are chosen automatically to ensure their maximum independence as explained in [46, 47]. But since this automatic procedure has not been implemented for dynamic cases yet, the two fields are chosen manually here. This is all the more reasonable since only two unknowns have to be identified.

  2. These values are calculated from classical lamination theory from the stacking sequence and the following ply properties: E 11 = 43.9 GPa, E 22 = 15.4 GPa, ν 12 = 0.3, G 12 = 4.34 GPa, obtained from usual quasi-static standard tests on specimens made from the same prepreg [48]. There are unfortunately no directly measured reference values available for this material at the strain rates tested here.

  3. It has to be underlined that the last identified Young’s modulus for the second test (at time \(t = 26.7~\upmu\)m) is rather far from the reference value. This can be explained by the fact that, at this time, the global acceleration is already low.

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Acknowledgements

The authors would like to express their gratitude to the UK Engineering and Physical Sciences Research Council for their financial support to this project (Grant n°: EP/G001715/1) and the loan of the Ultra High Speed camera through the Engineering Instrument Pool.

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Authors and Affiliations

  1. LMPF, Arts et Métiers ParisTech, Rue Saint Dominique BP 508, 51006, Châlons-en-Champagne, France

    R. Moulart & F. Pierron (SEM member)

  2. Department of Aerospace Engineering, University of Bristol, Queen’s Building, University Walk, BS8 1TR, Bristol, UK

    S. R. Hallett & M. R. Wisnom

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  1. R. Moulart
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Correspondence to R. Moulart.

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Moulart, R., Pierron, F., Hallett, S.R. et al. Full-Field Strain Measurement and Identification of Composites Moduli at High Strain Rate with the Virtual Fields Method. Exp Mech 51, 509–536 (2011). https://doi.org/10.1007/s11340-010-9433-4

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