Analytical Model for Dynamic Yield Strength of Metal
Source abstract
Abstract
Strain rate effect of yield strength has been a hot topic for a long time in impact mechanics over decades, and it is important to explore the physical mechanism behind this phenomenon. In this study, a one-dimensional stress bar analytical model for the dynamic yield stress of metal materials under a sinusoidal stress wave pulse is presented based on the structural-temporal failure criterion, and the corresponding numerical results accord well with previous experimental data under the high strain rate. Moreover, the dynamic yield strength can be determined by the nondimensional parameters κ and χ as well as a material parameter α. Specifically, the first nondimensional parameter κ can be determined by the ratio between the loading amplitude and quasi-static yield strength. The second nondimensional parameter χ is calculated by the ratio between the loading period and the incubation time. 0herefore, the dynamic yield strength can be essentially determined by the quasi-static material parameters, incubation time and loading parameters. The so-called strain-rate effect on the yield strength should be treated as an interaction process parameter in a dynamic loading—material system and should not be considered as an intrinsic material property anymore. additionally, this study may help researchers to determine the parameters in the numerical models including the strain rate effect of the dynamic yield surface.
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Research context
OpenAlex topics: High-Velocity Impact and Material Behavior · Structural Response to Dynamic Loads · Energetic Materials and Combustion
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (34)
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1. Song, B., Chen, W., Antoun, B.R., and Frew, D.J., Determination of Early Flow Stress for Ductile Specimens at High Strain Rates by Using a SHPB, Exp. Mech., 2007, vol. 47, no. 5, pp. 671–679.10.1007/s11340-007-9048-6 ↗
2. Campbell, J.D., The Dynamic Yielding of Mild Steel, Acta. Metall. Mater., 1953, vol. 1, no. 6, pp. 706–710.10.1016/0001-6160(53)90029-7 ↗
3. Clough, R.B., Webb, S.C., and Armstrong, R.W., Dynamic Hardness Measurements Using a Dropped Ball: With Application to 1018 Steel, Mat. Sci. Eng. A. Struct., 2003, vol. 360, no. 1–2, pp. 396–407.10.1016/S0921-5093(03)00499-4 ↗
4. Almasri, A.H. and Voyiadjis, G.Z., Effect of Strain Rate on the Dynamic Hardness in Metals, J. Eng. Mater: Technol., 2007, vol. 129, no. 4, pp. 505–512.
5. Johnson, G.R. and Cook, W.H., A Constitutive Model and Data for Metals Subjected to Large Strain, High Strain Rates and High Temperatures, in Proc. 7th Int. Symp. Ballist., Hague: ADPA, 1983, pp. 541–547.
6. Johnson, G.R. and Cook, W.H., Fracture Characteristic of Three Metals Subjected to Various Strains, Strain Rates, Temperatures and Pressures, Eng. Fract. Mech., 1985, vol. 21, no. 1, pp. 31–48.10.1016/0013-7944(85)90052-9 ↗
7. Steinberg, D.J., Cochran, S.G., and Guinan, M.W., A Constitutive Model for Metals Applicable at High-Strain Rate, J. Appl. Phys., 1980, vol. 51, no. 3, pp. 1498–1504.10.1063/1.327799 ↗
8. Cotsovos, D.M. and Pavlović, M.N., Numerical Investigation of Concrete Subjected to High Rates of Uniaxial Tensile Loading, Int. J. Impact Eng., 2008, vol. 35, no. 5, pp. 319–335.10.1016/j.ijimpeng.2007.03.006 ↗
9. Cotsovos, D.M. and Pavlovic, M.N., Numerical Investigation of Concrete Subjected to Compressive Impact Loading. Part 2: Parametric Investigation of Factors Affecting Behaviour at High Loading Rates, Comput. Struct., 2008, vol. 86, no. 1–2, pp. 164–180.10.1016/j.compstruc.2007.05.015 ↗
10. Ou, Z.C., Yan, C., Duan, Z.P., Pi, A.G., and Huang, F.L., Dynamic Behaviors of Load-Carrying Capacity of Brittle Materials, Int. J. Impact Eng., 2012, vol. 42, pp. 59–65.10.1016/j.ijimpeng.2011.11.002 ↗
11. Yan, C., Ou, Z.C., Duan, Z.P., and Huang, F.L., An Analytical Approach to Dynamic Spalling of Brittle Materials, Int. J. Impact. Eng., 2015, vol. 83, pp. 28–36.10.1016/j.ijimpeng.2015.04.001 ↗
12. Yan, C., Ou, Z.C., Duan, Z.P., and Huang, F.L., Strain Rate Effects on Dynamic Strength of Brittle Materials, Exp. Shock Waves, 2011, vol. 31, no. 7, pp. 423–427.
13. Petrov, Yu.V. and Utkin, A.A., Dependence of the Dynamic Strength on Loading Rate, Sov. Mater. Sci., 1989, vol. 25, no. 2, pp. 153–156.10.1007/BF00780499 ↗
14. Petrov, Yu.V., On “Quantum” Nature of Dynamic Fracture of Brittle Solids, Dokl. Akad. Nauk SSSR, 1991, vol. 321, no. 1, pp. 66–68.
15. Petrov, Yu.V. and Morozov, N., On the Modeling of Fracture of Brittle Solids, J. Appl. Mech., 1994, vol. 61, pp. 710–712.10.1115/1.2901518 ↗
16. Morozov, N. and Petrov, Yu.V., Dynamics of Fracture, Berlin: Springer-Verlag, 2000.10.1007/978-3-540-69712-1 ↗
17. Petrov, Yu.V., On the Incubation Stage of Fracture and Structural Transformations in Continuous Media under Pulse Energy Injection, Mech. Sol., 2007, vol. 42, no. 5, pp. 692–699.10.3103/S0025654407050044 ↗
18. Bratov, V. and Petrov, Yu.V., Application of Incubation Time Approach to Simulate Dynamic Crack Propagation, Int. J. Fract., 2007, vol. 146, pp. 53–60.10.1007/s10704-007-9135-9 ↗
19. Petrov, Yu.V., Karihaloo, B.L., Bratov, V.V., and Bragov, A.M., Multi-Scale Dynamic Fracture Model for Quasi-Brittle Materials, Int. J. Eng. Sci., 2012, vol. 61, pp. 3–9.10.1016/j.ijengsci.2012.06.004 ↗
20. Petrov, Yu.V., Gruzdkov, A.A., and Bratov, V.A., Structural-Temporal Theory of Fracture as a Multiscale Process, Phys. Mesomech., 2012, vol. 15, no. 3–4, pp. 232–237.10.1134/S1029959912020117 ↗
21. Steverding, B. and Lehnigk, S., Response of Cracks to Impact, J. Appl. Phys., 1970, vol. 41, no. 5, pp. 2096–2099.10.1063/1.1659170 ↗
22. Ravi-Chandar, K. and Knauss, W.G., An Experimental Investigation into Dynamic Fracture: I. Crack Initiation and Arrest, Int. J. Fract., 1984, vol. 25, no. 4, pp. 247–262.10.1007/BF00963460 ↗
23. Shockey, D.A., Kalthoff, J.F., and Erlich, D.C., Evaluation of 4ynamic Crack Instability Criteria, Int. J. Fract., 1983, vol. 22, no. 3, pp. 217–229.10.1007/BF00963478 ↗
24. Kalthoff, J.F. and Shockey, D.A., Instability of Cracks under Impulse Loads, J. Appl. Phys., 1977, vol. 48, no. 3, pp. 986–993.10.1063/1.323720 ↗
25. Petrov, Yu.V. and Sitnikova, E.V., Temperature Dependence of Spall Strength and the Effect of Anomalous Melting Temperatures in Shock-Wave Loading, Tech. Phys., 2005, vol. 50, no. 8, pp. 1034–1037.10.1134/1.2014534 ↗
26. Gruzdkov, A.A., Sitnikova, E.V., Morozov, N.F., and Petrov, Yu.V., Thermal Effect in Dynamic Yielding and Fracture of Metals and Alloys, Math. Mech. Solid., 2009, vol. 14, pp. 72–87.10.1177/1081286508092603 ↗
27. Petrov, Yu.V., Gruzdkov, A.A., and Sitnikova, E.V., Anomalous Behavior of Yield Stress upon an Increase in Temperature under High Strain Rate Conditions, Dokl. Phys., 2007, vol. 52, no. 12, pp. 691–694.10.1134/S1028335807120129 ↗
28. Gruzdkov, A.A. and Petrov, Yu.V., On Temperature-Time Correspondence in High-Rate Deformation of Metals, Dokl. Phys., 1999, vol. 44, no. 2, pp. 114–116.
29. Petrov, Yu.V. and Borodin, E.N., Relaxation Mechanism of Plastic Deformation and Its Justification Using the Example of the Sharp Yield Point Phenomenon in Whiskers, Phys. Solid State, 2015, vol. 57, no. 2, pp. 353–359.10.1134/S1063783415020286 ↗
30. Selyutina, N.S., Borodin, E.N., Petrov, Yu.V., and Mayer, A.E., The Definition of Characteristic Times of Plastic Relaxation by Dislocation Slip and Grain Boundary Sliding in Copper and Nickel, Int. J. Plasticity, 2016, vol. 82, pp. 97–111.10.1016/j.ijplas.2016.02.004 ↗
31. Evstifeev, A.D., Gruzdkov, A.A., and Petrov, Yu.V., Dependence of the Type of Fracture on Temperature and Strain Rate, Tech. Phys., 2013, vol. 58, no. 7, pp. 989–993.10.1134/S1063784213070086 ↗
32. Selyutina, N.S. and Petrov, Yu.V., Prediction of the Dynamic Yield Strength of Metals Using Two Structural-Temporal Parameters, Phys. Solid State, 2018, vol. 60, no. 2, pp. 244–249.10.1134/S1063783418020221 ↗
33. Achenbach, J.D., Wave Propagation in Elastic Solids, London: North-Holland Publishing Company, 1973.
34. Bratov, V.A., Morozov, N.F., and Petrov, Yu.V., Dynamic Strength of Continuum, St. Petersburg: St. Petersburg University Press, 2009.