A Phenomenological Energy-Based Model for PBX Simulants Considering the Mullins Effect

Abstract:

PBX is known to exhibit highly nonlinear behaviors of deformation such as the Mullins effect of stress softening, hysteresis, residual strain, and frequency dependant responses. This paper proposes a phenomenological energy-based model for PBX considering the Mullins effect for isotropic, incompressible, hyperelastic, particle-filled materials. Uniaxial compressive loading and unloading tests at quasi-static states were undertaken in order to obtain the mechanical properties of the PBX simulants. The phenomenological energy-based model by Ogden-Roxburgh is, then, modified to make it consistent with the test result of PBX simulants in the case that the Mullins effect is dominant. Prediction with the new model shows a good correspondence to the experimental data demonstrating that the model properly describes the Mullins effect and the loading-unloading behavior of deformation.

• Periodical: Key Engineering Materials (Volumes 535-536)
• Pages: 113-116
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.535-536.113
• Online since: January 2013
• Authors: Kee Sun Yeom, Seh Wan Jeong, Hoon Huh, Jung Su Park
• Keywords: Constitutive Model, Mullins Effect, Polymer Bonded Explosive (PBX) Simulant

References

[1] L. Mullins and N.R. Tobin, Stress softening in rubber vulcanizates. Part I. Use of a strain amplification factor to describe elastic behavior of filler-reinforced vulcanized rubber, J Appl. Polymer Sci., 9 (1965) 2993–3007.

DOI: 10.1002/app.1965.070090906

[2] L. Mullins, Softening of Rubber by Deformation, Rubber Chem. Technol., 42 (1969) 339−362.

DOI: 10.5254/1.3539210

[3] R.W. Ogden and D.G. Roxburgh, A pseudo-elastic model for the Mullins effect in filled rubber, Proc. R. Soc. Lond. A, 455 (1999) 2861−2877.

DOI: 10.1098/rspa.1999.0431

[4] D.M. Williamson, S.J.P. Palmer and W.G. Proud, Fracture studies of PBX simulant materials, AIP Conf. Proc., 845 (2006) 829−832.

[5] A. Dorfmann and R.W. Ogden, A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber, Int. J. Solids Struct., 41 (2004) 1855−1878.

DOI: 10.1016/j.ijsolstr.2003.11.014