Abstract
This paper describes a dynamic experimental technique for characterizing the uniaxial stress-strain relationship of rubbers under medium strain rate deformation. This method combines the Virtual Fields Method (VFM) and high-speed imaging with digital image correlation. The VFM can be expressed so that force measurement during dynamic loading is no longer required but acceleration data on the specimen surface, which occurs as a result of wave propagation in the specimen, are measured and used as a ‘virtual load cell’. In a previous paper, the authors have utilized this technique for characterizing material parameters for the dynamic behaviour of rubbers using a drop-weight apparatus [Int. J. Solids Struct. 69–70:553–568, 2015]. One limitation of this technique is that the stability of the parameter estimation depends on the length of a specimen. When the loading stress wave reaches the fixed end of the rubber specimen, a static equilibrium state is instantaneously achieved. At this instant, the acceleration fields are no longer able to provide information, and the identification is unstable. In order to overcome this limitation, the present paper proposes a VFM able to produce stable identification even at the equilibrium instant. This procedure utilizes both inertial and material forces, and a new experiment apparatus has been developed for simultaneously measuring these two sets of data. This new procedure is described using results from simulations; then, the experimental system and its results will be presented.
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Acknowledgement
This material is based upon work supported by the Air Force Office of Scientific Research, Air Force Material Command, USAF under Award Nos. FA8655-12-1-2015 and FA9550-15-1-0448. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purpose notwithstanding any copyright notation thereon. The authors thank S. Fuller and J.L. Jordan of AFOSR and M. Snyder, J. Foley and R. Pollak of EOARD for their support. The authors would like to thank R. Froud and R. Duffin for the construction of the experimental apparatus used in this research, and their helpful advice when designing this apparatus. Finally we thank Professor F. Pierron for his invaluable help with the Virtual Fields Method.
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Yoon, Sh., Siviour, C.R. (2017). The Virtual Fields Method to Rubbers Under Medium Strain Rates. In: Yoshida, S., Lamberti, L., Sciammarella, C. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41600-7_22
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