A Pressure-Dependent Plasticity Model for Polymer Bonded Explosives under Confined Conditions

• Autorzy: Wei Qiang , Huang Xi-cheng , Chen Peng-wan , Liu Rui

Identyfikatory

DOI

10.22211/cejem/142512

• Języki publikacji: EN

Abstrakty

EN

The safety of explosives is closely related to the stress state of the explosives. Under some stress stimulation, explosives may detonate abnormally. It is of great significance to accurately describe the mechanical response of explosives for the safety evaluation of explosives. The mechanical properties of polymer bonded explosives (PBXs) strongly depend on pressure. In this study, the mechanical behaviour of PBXs under confined conditions was investigated. It was found that the stress-plastic strain response of a PBX under high confining pressures is a combination of the non-linear and linear hardening portions. However, the linear hardening portion has often been neglected in characterizing the mechanical behaviour of a PBX under such pressures. The Karagozian and Case (K&C) model was applied to characterize the mechanical behaviour of PBXs. The numerical results demonstrated that when the confining pressure was high, the K&C model could not adequately match the experimental data due to the limitation of the damage model. Therefore, a new damage model was developed by means of considering intragranular damage and transgranular damage. This modification made it possible to introduce a linear hardening process into the original K&C model. The method proposed to describe the stress-strain results under high confining pressures was to consider the stress-plastic strain curve, including the nonlinear and linear hardening portions. The damage evolution of the original K&C model and a linear hardening model were applied for the nonlinear and linear hardening portions respectively. The influence of the linear hardening model on the damage evolution of the original K&C model was included when describing the nonlinear hardening portion. A comparison between simulation and experiment showed that the modified K&C model could well describe the mechanical response of PBXs under different confining pressures.

Słowa kluczowe

EN

polymer bonded explosives; constitutive model; damage model; confining pressure; mechanical response

• Czasopismo: Central European Journal of Energetic Materials
• Rocznik: 2021
• Tom: Vol. 18, no. 3
• Strony: 339--368
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Wei Qiang

• State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, 100081 Beijing, China
• Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, 621999 Sichuan, China

autor

Huang Xi-cheng

• Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, 621999 Sichuan, China

autor

Chen Peng-wan

• State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, 100081 Beijing, China

autor

Liu Rui

• State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, 100081 Beijing, China

Bibliografia

• [1] Jing, S.M. Study on Mechanical Property and Constitutive Relation of PBX. Doctoral dissertation, China Academy of Engineering Physics, China, 2009.
• [2] Trumel, H.; Lambert, P.; Vivier, G.; Sadou, Y. Toward Physically-based Explosive Modeling: Meso-Scale Investigations. In: Materials under Extreme Loadings: Application to Penetration and Impact. (Buzaud, E.; Jonescu, I.R.; Voyiadjis, G.Z., Eds.), ISTE Ltd and Wiley & Sons, Inc., Ch. 9, pp. 179-207, 2010; ISBN 978-1- 84821-184-1.
• [3] Gruau, C.; Picart, D.; Belmas, R.; Bouton, E.; Delmaire-Sizes, F.; Sabatier, J.; Trumel, H. Ignition of a Confined High Explosive under Low Velocity Impact. Int. J. Impact Eng. 2009, 36: 537-550.
• [4] Ma, D.Z. Investigation of the Safety for Explosives under Low Velocity Impact. Doctoral dissertation, Beijing Institute of Technology, China, 2013.
• [5] Reaugh, J.E. Progress in Model Development to Quantify High Explosive Violent Response (HEVR) to Mechanical Insult. Lawrence Livermore National Lab., Report LLNL-TR-405903, Livermore, 2008.
• [6] Bennett, J.G.; Haberman, K.S.; Johnson, J.N.; Asay, B.W.; Henson, B.F. A Constitutive Model for the non-Shock Ignition and Mechanical Response of High Explosives. J. Mech. Phys. Solids 1998, 46: 2303-2322.
• [7] Liu, R.; Chen, P.W. Modeling Ignition Prediction of HMX-based Polymer Bonded Explosives under Low Velocity Impact. Mech. Mater. 2018, 124: 106-117.
• [8] Rangaswamy, P.; Thompson, D.G.; Liu, C.; Lewis, M.W. Modeling the Mechanical Response of PBX 9501. Proc. 14th Int. Symp. Detonation, Idaho, US, 2010, 174- 183.
• [9] Reaugh, J.E. Modification and Applications of the HERMES Model: June-October 2010. Lawrence Livermore National Lab., Report LLNL-TR-462751, Livermore, 2010.
• [10] Reaugh, J.E. HERMES: A Model to Describe Deformation, Burning, Explosion, and Detonation. Lawrence Livermore National Lab., Report LLNL-TR-516119, Livermore, 2011.
• [11] Gratton, M.; Gontier, C.; Allah, S.R.F.; Bouchou, A.; Picart, D. Mechanical Characterisation of a Viscoplastic Material Sensitive to Hydrostatic Pressure. Eur. J. Mech. A-solid. 2009, 28: 935-945.
• [12] Malvar, L.J.; Crawford, J.E.; Wesevich, J.W.; Simons, D. A Plasticity Concrete Material Model for DYNA3D. Int. J. Impact Eng. 1997, 19: 847-873.
• [13] Riedel, W.; Thoma, K.; Hiermaier, S.; Schmolinske, E. Penetration of Reinforced Concrete by BETA-B-500 Numerical Analysis Using a New Macroscopic Concrete Model for Hydrocodes. Proc. 9th Int. Symp. Eff. Munitions with Struct. (ISIEMS), Berlin, Germany, 1999, 315-322.
• [14] Holmquist, T.J.; Johnson, G.R.; Cook, W.H. A Computational Constitutive Model for Concrete Subjected to Large Strains, High Strain Rates and High Pressures. Proc. 14th Int. Symp. Ballistics, Canada, 1993, 591-600.
• [15] Johnson, G.R.; Holmquist, T.J. Response of Boron Carbide Subjected to Large Strains, High Strain Rates, and High Pressures. J. Appl. Phys. 1999, 85: 8060-8073.
• [16] Wiegand, D.A.; Reddingius, B. Mechanical Properties of Confined Explosives. J. Energ. Mater. 2005, 23: 75-98.
• [17] Wiegand, D.A.; Reddingius, B.; Ellis, K.; Leppard, C. Pressure and Friction Dependent Mechanical Strength-Cracks and Plastic Flow. Int. J. Solids Struct. 2011, 48: 1617-1629.
• [18] Vial, J.; Picart, D.; Bailly, P.; Delvare, F. Numerical and Experimental Study of the Plasticity of HMX during a Reverse Edge-on Impact Test. Modelling Simul. Mater. Sci. Eng. 2013, 21(4) paper 045006: 1-16.
• [19] Wu, Y.; Crawford, J.E. Numerical Modeling of Concrete Using a Partially Associative Plasticity Model. J. Eng. Mech. 2015, 141(12), paper 04015051.
• [20] Willam, K.J.; Warnke, E.P. Constitutive Model for the Triaxial Behavior of Concrete. IABSE Sem. Concrete Structures Subjected Triaxial Stresses, Vol. 19, Bergamo, Italy, 1974, 1-30.
• [21] Simo, J.C.; Taylor, R.L. A Return Mapping Algorithm for Plane Stress Elastoplasticity. Int. J. Numer. Meth. Eng. 1986, 22(3): 649-670.
• [22] Chen, H.F.; Saleeb, A.F. Constitutive Equations for Concrete and Soil. (in Chinese) China Architecture and Building Press, 2005.
• [23] Wang, X.; Ma, S.P.; Zhao, Y.T.; Zhou, Z.B.; Chen, P.W. Observation of Damage Evolution in Polymer Bonded Explosives Using Acoustic Emission and Digital Image Correlation. Polym. Test. 2011, 30: 861-866.
• [24] LS-DYNA® Keyword User’s Manual. Vol. II, Version 971, Livermore Technology Software Corporation (LSTC), US, May 2007.
• [25] Autodyn User’s Subroutines Tutorial. Release 17.1, ANSYS, Inc., US, April 2016.