Dynamic damage evolution and its influence on the constitutive relation for materials in high strain rate are experimentally and theoretically studied. It is revealed that damage evolution is a rate-dependent process depending on both strain and strain rate, and can be modeled by the thermo-activation mechanism. For polymer PMMA, PP/PA blend and concrete, the coupled damage evolution law and the rate dependent constitutive relation (DM-ZWT model) are obtained and well supported by the experimental data.
Feng, Z.-Z., Wang, X.-J., Wang, F.-S., Gao, H.-S. and Yue, Z.-F. ( 2007). Implementation and Its Application in Finite Element Analysis of Constitutive Model for ZWT Nonlinear Viscoelastic Material, Journal of Materials Science & Engineering, 25: 269-272.
2.
Ju, J.W. ( 1989). On Energy-Based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects, International Journal of Solids and Structures, 25: 803-833.
3.
Kachanov, L.M. ( 1958). On the Creep Rupture Time, Proceedings of the Academy of Sciences, USSR, Department of Technical Sciences , 8: 26-31.
4.
Kolsky, H. ( 1949). An Investigation of the Mechanical Properties of Materials at Very High Rates of Loading, Proceedings of the Physical Society, B62: 676-700.
5.
Mastilovic, S. ( 2008). A Note of Short-time Response of Two-dimensional Lattices During Dynamic Loading, International Journal of Damage Mechanics , 17: 357-362.
6.
Meyers, M.A. ( 1994). Dynamic Behavior of Materials, New York, John Wiley & Sons, Inc.
7.
Nam, J.W., Kim, H.J., Kim, S.B. and Byun, K.J. ( 2009). Analytical Study of Finite Element Models for FRP Retrofitted Concrete Structure Under Blast Loads, International Journal of Damage Mechanics, 18: 461-490.
8.
Peralta, P., DiGiacomc, S., Hashemian, S., Luo, S.N., Paisley, D., Dickerson, R. et al. (2009). Characterization of Incipient Spall Damage in Shocked Copper Multicrystals, International Journal of Damage Mechanics, 18(4): 393-413.
9.
Seeger, A. ( 1955). The Generation of Lattice Defects by Moving Dislocation, and Its Application to the Temperature Dependence of the Flow Stress of Face-Centered Cubic Crystals, Philosophical Magazine, 46: 1194-1217.
10.
Sharma, A., Shukla, A. and Prosser, R.A. ( 2002). Mechanical Characterization of Soft Materials Using High Speed Photography and Split Hopkinson Pressure Bar Technique, Journal of Materials Science, 37: 1005-1017.
11.
Simo, J.C. and Ju, J.W. ( 1987a). Strain- and Stress-based Continuum Damage Models-I. Formulation, International Journal of Solids and Structures , 23(7): 821-840.
12.
Simo, J.C. and Ju, J.W. ( 1987b). Strain- and Stress-based Continuum Damage Models-II. Computational Aspects, International Journal of Solids and Structures, 23(7): 841-869.
13.
Sun, Z. ( 2005). Studies on Impact Constitutive Behavior and Damage Evolution for Two PP/PA Polymer Blends at Large Deformation, Dissertation , Ningbo University, Ningbo, China (in Chinese).
14.
Sun, Z.-J. and Wang, L.-L. ( 2006). Studies on Impact Constitutive Behavior and Damage Evolution for PP/PA Polymer Blends at Large Deformation, Journal de Physique IV, 134: 117-124.
15.
Tang, Z., Tian, L., Chu, C.-H. and Wang L.-L. ( 1981). Mechanical Behavior of Epoxy Resin Under High Strain Rates, In: Proceedings of the 2nd National Conference on Explosive Mechanics, Yangzhou, China.
16.
Wang, L.-L. ( 1984). A Thermo-Viscoplastic Constitutive Equation Based on Hyperbolic-Shape Thermo-Activated Barriers, Transactions of ASME, Journal of Engineering Materials and Technology, 106: 331-336.
17.
Wang, L.-L. ( 1985). Foundations of Stress Wave (in Chinese), Beijing, National Defense Industry Press ; Amsterdam, Elsevier.
18.
Wang, L.-L. and Yang L.-M. ( 1992). A Class of Nonlinear Viscoelastic Constitutive Relation of Solid Polymeric Materials, In: Wang, L.-L., Yu, T. and Li, Y. (eds.), Progress in Impact Dynamics , Hefei, China: The Press of China University of Science and Technology, pp. 88 (in Chinese).
19.
Wang L.-L., Jiang, Z.B. and Chen, J.Y. ( 1999). Studies on Rheological Relation of Materials by Taking Account of Rate-Dependent Evolution of Internal Defects at High Strain Rates , In: Wang, R. (ed.), Proceedings of IUTAM Symposium on Rheology of Bodies with Defects , Kluwer Academic Publishers, Dordercht, Boston, London, pp. 167-178.
20.
Wang, L.-L., Shi, S.-Q., Chen, J.-Y., Huang, D.-J. and Shen, L.-J. ( 2003). Influence of Strain-Rate and Stress-State on Dynamic Response of Cement Mortar, International Journal of Structural Stability and Dynamics, 3: 419-433.
21.
Wang, Y. ( 2004). Study on the Dynamic Mechanical Behavior of C30 Concrete under One-dimentional Stress State and Confined in PPR Tube, Dissertation, Ningbo University, Ningbo, China (in Chinese).
22.
Yang, T.-Q., Luo, W.-B., Xu, P., Wei, Y.-T. and Gang, Q.-G. ( 2004). Theory and Applications in Viscoelasticity, Beijing, Science Press.
23.
Zhou, F. ( 1990). Study on the Nonlinear Viscoelastic and Damage-Failure Behaviors of PMMA at High Strain-rates and Large Deformation. Dissertation, University of Science and Technology of China, Hefei, China (in Chinese).
24.
Zukas, J.A., Nicholas, T., Swift, H.F., Greszcuzuk, L.B. and Curran, D.R. ( 1982). Impact Dynamics, New York, Wiley-Interscience.
25.
Zuo, Q.H., Addessio, F.L., Dienes, J.K. and Lewis, M.W. ( 2006). A Rate-dependent Damage Model for Brittle Materials Based on the Dominant Crack, International Journal of Solids and Structures, 43: 3350-3380.
