On the response of rubbers at high strain rates—I. Simple waves

Abstract In this series of papers, we examine the propagation of waves of finite deformation in rubbers through experiments and analysis; in the present paper, Part I, attention is focused on the propagation of one-dimensional waves in strips of natural, latex and synthetic, nitrile rubber. Tensile wave propagation experiments were conducted at high strain rates by holding one end fixed and displacing the other end at a constant velocity. A high-speed video camera was used to monitor the motion and to determine the evolution of strain and particle velocity in rubber strips. Analysis of the response through the theory of finite waves indicated a need for an appropriate constitutive model for rubber; by quantitative matching between the experimental observations and analytical predictions, an appropriate instantaneous elastic response for the rubbers was obtained. This matching process suggested that a simple power-law constitutive model was capable of representing the high strain-rate response for both rubbers used.

[1]  J. D. Plawchan,et al.  High velocity impact , 1948 .

[2]  B. Song,et al.  One-Dimensional Dynamic Compressive Behavior of EPDM Rubber , 2003 .

[3]  H. Kolsky,et al.  Experimental studies in plastic wave propagation , 1962 .

[4]  M. H. Fatt,et al.  High-speed testing and material modeling of unfilled styrene butadiene vulcanizates at impact rates , 2004 .

[5]  Jonas A. Zukas,et al.  High velocity impact dynamics , 1990 .

[6]  Shinzo Kohjiya,et al.  New Insights into Structural Development in Natural Rubber during Uniaxial Deformation by In Situ Synchrotron X-ray Diffraction , 2002 .

[7]  K. Sekimoto,et al.  Crystallization and melting of polyisoprene rubber under uniaxial deformation , 2003 .

[8]  M. H. Fatt,et al.  Three-dimensional constitutive equations for Styrene Butadiene Rubber at high strain rates , 2008 .

[9]  H. Kolsky Production of Tensile Shock Waves in Stretched Natural Rubber , 1969, Nature.

[10]  C. M. Roland Mechanical Behavior of Rubber at High Strain Rates , 2006 .

[11]  John B. Aidun,et al.  Analysis of Lagrangian gauge measurements of simple and nonsimple plane waves , 1991 .

[12]  C. M. Roland,et al.  High-speed tensile test instrument. , 2007, The Review of scientific instruments.

[13]  J. Bell Experimental Study of the Interrelation between the Theory of Dislocations in Polycrystalline Media and Finite Amplitude Wave Propagation in Solids , 1961 .

[14]  J. K. Knowles Sudden tensile loading of a rubberlike bar , 2003 .

[15]  L. Truskinovsky Transition to detonation in dynamic phase changes , 1994 .

[16]  J. W. Gibbs,et al.  Scientific Papers , 2002, Molecular Imaging and Biology.

[17]  James K. Knowles,et al.  Evolution of Phase Transitions: A Continuum Theory , 2006 .

[18]  Richard Fowles,et al.  Plane Stress Wave Propagation in Solids , 1970 .

[19]  L. Davison Traditional Analysis of Nonlinear Wave Propagation in Solids , 2003 .

[20]  K. Ravi-Chandar,et al.  On the response of rubbers at high strain rates—III. Effect of hysteresis , 2011 .

[21]  J. Bell Propagation of Large Amplitude Waves in Annealed Aluminum , 1960 .

[22]  Mohsen Shahinpoor,et al.  High-Pressure Shock Compression of Solids III , 2011 .

[23]  G. Ben-Dor,et al.  Uni-axial strain loading of a rubber rod by planar shock waves , 1997 .

[24]  P. Mason Finite elastic wave propagation in rubber , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[25]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[26]  James K. Knowles,et al.  Impact-Induced Tensile Waves in a Rubberlike Material , 2002, SIAM J. Appl. Math..

[27]  Pol Duwez,et al.  The Propagation of Plastic Deformation in Solids , 1950 .

[28]  M. Marder,et al.  Toughening effect of strain-induced crystallites in natural rubber. , 2009, Physical review letters.

[29]  R. F. Williams,et al.  Determination of Constitutive Relationships with Multiple Gauges in Nondivergent Waves , 1971 .