Modeling the spall in impact of metalic plates, considering the effects of temperature, strain rate and damage

Authors

1 Assistant professor in school of mechanical engineering, college of engineering, University of Theran

2 Assistant professor, School of mechanical engineering, college of engineering, University of Tehran

3 School of Mechanical Engineering, College of Engineering, University of Tehran

Abstract

In this article, the high strain rate, dynamic plastic response of materials in the standard plate impact test is numerically studied. To get the closest results to the experimental data available in the literature, different types of hardening as well as dynamic fracture models are employed. With the aid of this standard plate impact test, one can verify the new models in the ideal condition of uniaxial-strain cases. To properly model this test, to discrete the field, von-Neumann Finite-Volume method is utilized. Jonson-Cook and perfectly elastoplastic hardening models as well as the Zerilli-Armstrong model are used beside the dynamic fracture model of modified Tuler-Butcher, to predict the spall phenomenona. In this work, the impact of two plates (the flyer plate and the target plate) is analyzed. Results of the simulation is compared with the experimental data as well as the other numerical results reported in the literature. The results of the present work are in a better correspondence comparing to the experimental data. Among investigated models, employing JC constitutive model, accompanying with the modified Tuler-Butcher fracture model and Steinberg model for the elastic modulus gives the most accurate results compared to other model combinations.

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Main Subjects


[1] Zukas JA (1990) High velocity impact dynamics. Wiley-Interscience.
[2] Antoun T, Seaman L, Curran D () Dynamic failure of materials. Compilation of Russian spall data, Technical Report No. DSWA-TR-96-77-V2, Defence Special Weapons Agency, Alexandria, VA,  2: 1998.
[3] Hanim S, Klepaczko JR (1999) Numerical study of spalling in an aluminum alloy 7020-T6. Int J Impact Eng 22(7): 649-673.
[4] Czarnota C, Jacques N, Mercier S, Molinari A (2008) Modelling of dynamic ductile fracture and application to the simulation of plate impact tests on tantalum. J Phys Chem Solids 56(4): 1624-1650.
[5] Ikkurthi V, Chaturvedi S (2004) Use of different damage models for simulating impact-driven spallation in metal plates. Int J Impact Eng 30(3): 275-301.
[6] Bonora N, Milella PP (2001) Constitutive modeling for ductile metals behavior incorporating strain rate, temperature and damage mechanics. Int J Impact Eng 26(1–10): 53-64.
[7] Wang Y, He H, Wang L (2013) Critical damage evolution model for spall failure of ductile metals. Mech Mater 56(0): 131-141.
[8] Wilkins ML (1999) Computer simulation of dynamic phenomena. Springer Science & Business Media
[9] Lukyanov AA (2008) Constitutive behaviour of anisotropic materials under shock loading. Int J Plasticity 24(1): 140-167.
[10] Guinan MW, Steinberg DJ (1974) Pressure and temperature derivatives of the isotropic polycrystalline shear modulus for 65 elements. J Phys Chem Solids 35(11): 1501-1512.
[11] Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. in Proceeding of, The Netherlands, 541-547.
[12] Zerilli FJ, Armstrong RW (1987) Dislocation mechanics based constitutive relations for material dynamics calculations. J Appl Phys 61(5): 1816-1825.
[13] Pérez-Bergquist SJ, Gray GR, Cerreta EK, Trujillo CP, Pérez-Bergquist A (2011) The dynamic and quasi-static mechanical response of three aluminum armor alloys: 5059, 5083 and 7039. Mat Sci Eng A-Struct 528(29): 8733-8741.
[14] Panov V (2006) Modelling of behaviour of metals at high strain rates.
[15] Tuler FR, Butcher BM (1968) A criterion for the time dependence of dynamic fracture. Int J Fracture Mech 4(4): 431-437.
[16] Gilman JJ, Tuler FR (1970) Dynamic fracture by spallation in metals. Int J Fracture Mech 6(2): 169-182.
[17] Steinberg D, Cochran S, Guinan M (1980) A constitutive model for metals applicable at high strain rate. J Appl Phys 51(3): 1498-1504.
[18] Zukas J, Nicholas T, Swift H, Greszczuk L, Curran D, Malvern L (1983) Impact dynamics. J Appl Mech-T Asme 50: 702.