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Continuum Mechanics and Thermodynamics
Published in: Continuum Mechanics and Thermodynamics 5/2022

07-06-2022 | Original Article

Nonlinear analysis for propellant solids

Authors: Panayiotis A. Kakavas-Papaniaros, Georgios I. Giannopoulos

Published in: Continuum Mechanics and Thermodynamics | Issue 5/2022

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Abstract

This research paper aims to develop a mathematical model for the interpretation of experimental data for propellant solids. A simple model is constructed by assuming a spherical unit cell. Equations are written with respect to the volume fraction of the filler particles as well as the fraction of the area that is unbonded. A sphere of a finite radius is assumed, containing a rubber matrix inside of which is a rigid filler particle of a smaller radius. A parameter is assigned for the porosity of the material while effective expressions for the shear and the bulk modulus and the strain energy function are written for the composite material. Based on the proposed strain energy function, the stress–strain relations are defined for the propellant solids. The model is based on four material parameters that were evaluated using Farris’s experimental data.
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Literature
1.
Shen, L.-L., Shen, Z.-B., Xie, Y., Li, H.-Y.: effective mechanical property estimation of composite solid propellants based on VCFEM. Int. J. Aerospace Eng. 2018, 2050876 (2018)
2.
Adel, W.M., Liang, G.-Z.: Analysis of mechanical properties for AP/HTPB solid propellant under different loading conditions. World Acad. Sci. Eng. Technol. Int. J. Aerospace Mech. Eng. 11(12), 1915–1919 (2017)
3.
Kakavas, P.A.: Mechanical properties of propellant composite materials reinforced with ammonium perchlorate particles. Int. J. Solids Struct. 51(10), 2019–2026 (2014)CrossRef
4.
Fareghi, A.R., Moosavi Nadooshan, S.A., Zekri, N., Mohammadi-Vala, M.: Mechanical properties and burning rate studies of double-base propellants with Akarditeii, Centralite, or 2-Ndpa as stabilizers. J. Energ. Mater. 11(1), 55–60 (2016)
5.
Rao, N.P., Solanke, C., Bihari, B.K., Singh, P.P., Bhattacharya, B.: evaluation of mechanical properties of solid propellants in rocket motors by indentation technique. Propellants Explos. Pyrotech. 41(2), 281–285 (2016)CrossRef
6.
Mason, B.P., Roland, C.M.: Solid propellants. Rubber Chem. Technol. 92(1), 1–24 (2019)CrossRef
7.
Eirich, F.R.Q.: Failure modes of elastomers. Eng. Fract. Mech. 5(3), 555–562 (1973)CrossRef
8.
Bueche, F.: Physical Properties of Polymers, p. 49. Wiley, New York (1962)
9.
Farris, R.J.: The influence of vacuole formation on the response and failure of filled elastomers. J. Rheol. 12(2), 315–334 (1968)ADS
10.
Farris, R.J.: The character of the stress-strain function for highly filled elastomers. J. Rheol. 12(2), 303–314 (1968)ADS
11.
Farris, R.J., Falabella, R., Tsai, Y.D.: influence of vacuole formation and growth on the mechanical behavior of polymers. ACS Symp. Ser. 95, 233–243 (1978)CrossRef
12.
Dong, S., Herrmann, L., Pister, K., Taylor, R.: Studies relating to structural analysis of solid propellants. Final Report to Aerojet-General Corporation, Department of Civil Engineering, UCB (1962)
13.
Ogden, R.W.: Large deformation isotropic elasticity - On the correlation of theory and experiment for incompressible rubberlike solids. Rubber Chem. Technol. 46(2), 398–416 (1973)CrossRef
14.
Lepie, A., Adicoff, A.: Dynamic mechanical behavior of highly filled polymers: Dewetting effect. J. Appl. Polym. Sci. 16(5), 1155–1166 (1972)CrossRef
15.
Mullins, L.: Effects of stretching on the properties of rubber. Rubber Chem. Technol. 21(2), 281–300 (1948)CrossRef
16.
Lion, A.: A constitutive model for carbon black filled rubber: experimental investigations and mathematical representation. Continuum Mech. Thermodyn. 8(3), 153–169 (1996)ADSMathSciNetCrossRef
17.
Kakavas, P.A., Chang, W.V.: Acoustic emission in bonded elastomer discs subjected to uniform tension. J. Appl. Polym. Sci. 42(6), 1997–2004 (1991)CrossRef
18.
Kakavas, P.A.: New development of the strain energy function for hyperelastic materials using a logarithmic strain approach. J. Appl. Polym. Sci. 77(3), 660–672 (2000)CrossRef
19.
Kasner, A.I., Meinecke, E.A.: Porosity in rubber, a review. Rubber Chem. Technol. 69(3), 424–443 (1996)CrossRef
20.
Kasner, A.I., Meinecke, E.A.: Effect of porosity on dynamic mechanical properties of rubber in compression. Rubber Chem. Technol. 69(2), 223–233 (1996)CrossRef
21.
Griffith, A.A.: The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. A 221, 163–198 (1921)ADSMATH
22.
Stoll, R.D., Freudenthal, A.M., Heller, R.A.: Effects of mean pressure on the behavior of a filled elastomer. Exp. Mech. 7(9), 339–345 (1967)CrossRef
23.
Buswell, H.J.: The effect of pressure on the flow properties of filled polyisobutylene. Rheol. Acta 13(3), 571–576 (1974)CrossRef
24.
Oberth, A.E.: Principle of strength reinforcement in filled polymers. Rubber Chem. Technol. 40, 1337–1362 (1967)CrossRef
25.
Blatz, P.J., Sharda, S.C., Tschoegl, N.W.: Strain energy function for rubberlike materials based on a generalized measure of strain. Trans. Soc. Rheol. 18(1), 145–161 (1974)CrossRef
26.
Beatty, M.F.: Topics in finite elasticity: hyperelasticity of rubber, elastomers, and biological tissues-with examples. Appl. Mech. Rev. 40(12), 1699–1734 (1987)ADSCrossRef
27.
Boyce, M.C., Arruda, E.M.: Constitutive models of rubber elasticity: a review. Rubber Chem. Technol. 73(3), 504–523 (2000)CrossRef
28.
Warren, N.: Theoretical calculation of the compressibility of porous media. J. Geophys. Res. 78(2), 352–362 (1973)ADSCrossRef
29.
Tobolsky, A.V., Shen, M.C.: Thermoelasticity, chain conformation, and the equation of state for rubber networks. J. Appl. Phys. 37(5), 1952–1955 (1966)ADSCrossRef
30.
Misra, A., Singh, V.: Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model. Continuum Mech. Thermodyn. 27(4–5), 787–817 (2015)ADSMathSciNetCrossRef
31.
Jia, H., Misra, A., Poorsolhjouy, P., Liu, C.: Optimal structural topology of materials with micro-scale tension-compression asymmetry simulated using granular micromechanics. Mater. Des. 115, 422–432 (2017)CrossRef
32.
Timofeev, D., Barchiesi, E., Misra, A., Placidi, L.: Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Math. Mech. Solids 26(5), 738–770 (2021)MathSciNetCrossRef
Metadata
Title
Nonlinear analysis for propellant solids
Authors
Panayiotis A. Kakavas-Papaniaros
Georgios I. Giannopoulos
Publication date
07-06-2022
Publisher
Springer Berlin Heidelberg
Published in
Continuum Mechanics and Thermodynamics / Issue 5/2022
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-022-01111-w

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