DOI QR코드

DOI QR Code

A Constitutive Model for Polymer-Bonded Explosive Simulants Considering Stress Softening and Residual Strain

응력연화와 잔류변형을 고려한 복합화약 시뮬런트의 구성방정식연구

  • Yeom, KeeSun (The 4th Research and Development Institute, Agency for Defense Development) ;
  • Huh, Hoon (School of Mechanical, Aerospace and Systems Engineering, Korea Advanced Institute of Science and Technology) ;
  • Park, Jungsu (The 4th Research and Development Institute, Agency for Defense Development)
  • 염기선 (국방과학연구소 제4기술연구본부) ;
  • 허훈 (한국과학기술원 기계항공시스템학부) ;
  • 박정수 (국방과학연구소 제4기술연구본부)
  • Received : 2014.03.20
  • Accepted : 2014.10.17
  • Published : 2014.12.05

Abstract

PBX simulant is known to exhibit highly nonlinear behaviors of deformation such as the stress softening, hysteresis under cyclic loading, residual strain after unloading, and aging. This paper proposes a new pseudo-elastic model for PBX simulant considering stress softening and residual strain. Uniaxial loading and unloading tests at quasi-static states were carried out in order to obtain the mechanical properties of the PBX simulants. And then the Dorfmann-Ogden model is modified to make it consistent with the test result of PBX simulants. Prediction with the new model shows a good correspondence to the experimental data demonstrating that the model properly describes stress softening and residual strain of PBX simulants.

Keywords

References

  1. Ogden, R. W., Roxburgh, D. G., "A Pseudo-Elastic Model for the Mullins Effect in Filled Rubber," Proceeding of Royal Society London, 455, pp. 2861-2877, 1999. https://doi.org/10.1098/rspa.1999.0431
  2. Dorfmann, A., Ogden, R. W., "A Constitutive Model for the Mullins Effect with Permanent Set in Particle-Reinforced Rubber," Int. J. Solids Struct., 41, pp. 1855-1878, 2004. https://doi.org/10.1016/j.ijsolstr.2003.11.014
  3. Rivlin, R. S., Saunders, D. W., "Large Elastic Deformations of Isotropic Materials VII. Experiments on the Deformation of Rubber," Philos. Trans. R. Soc. Lond. A, 243, pp. 251-287, 1951. https://doi.org/10.1098/rsta.1951.0004
  4. Yeoh, O. H., "Characterization of Elastic Properties of Carbon-Black-Filled Rubber Vulcanizates," Rubber Chem. Technol., 63, pp. 792-805, 1990. https://doi.org/10.5254/1.3538289
  5. James, A. G., Green, A., Simpson, G. M., "Strain Energy Function of Rubber. I. Characterization of Gum Vulcanizates," J. Appl. Polym. Sci., 19, pp. 2033-2058, 1975. https://doi.org/10.1002/app.1975.070190723
  6. Lazopoulos, K. A., Ogden, R. W. "Nonlinear Elasticity Theory with Discontinuous Internal Variables," Math. Mech. Solids, 3, pp. 29-51, 1998. https://doi.org/10.1177/108128659800300103
  7. Yeom, K. S., Jeong, S. H., Huh, H., Park, J. S., "New Pseudo-Elastic Model for Polymer-Bonded Explosive Simulants Considering the Mullins Effect," J. Compos. Mater., 47(27), pp. 3401-3411, 2013. https://doi.org/10.1177/0021998312466118
  8. Levenberg, K., "A Method for the Solution of Certain Non-Linear Problems in Least Squares," Quarterly of Applied Mathematics, 2, pp. 164-168, 1944. https://doi.org/10.1090/qam/10666
  9. Stevenson, R., "Inferring Microscopic Deformation Behavior from the Form of Constitutive Equation for Low-Carbon Steel and 5182-0 Aluminum," Mechanical Testing for Deformation Model Development, ASTM STP 765, R. W. Rohde and J. C. Swearengen, Eds., ASTM, pp. 366-381, 1982.