Journal
INTERNATIONAL JOURNAL OF IMPACT ENGINEERING
Volume 55, Issue -, Pages 1-10Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijimpeng.2012.12.001
Keywords
Nonlinear; Visco-elastic; Spherical wave; Characteristics method; Inverse method
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Funding
- National Natural Science Foundation of China [11032001, 11172244]
- K. C. Wong Magna Fund in Ningbo University
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Based on the ZWT nonlinear visco-elastic constitutive model, the governing equations for nonlinear visco-elastic spherical waves are formulated. By use of characteristics method, the problem of solving those five partial differential equations is reduced to solve five ordinary differential equations along 3 sets of characteristics. Numerical results are given, illustrating the non-ignored viscosity effects and nonlinear effects. The attenuation law for visco-elastic spherical shock wave is analytically derived. A new inversion method is proposed, by which the high-strain-rate visco-elastic parameters could be inversely determined from a series of particle velocity profiles measured in a spherical wave experiment. (c) 2012 Elsevier Ltd. All rights reserved.
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