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Abstrakty
A single spring and a single dashpot in series was utilized to simulate the stress-strain curve for different classes of solid rocket propellants, namely extruded double base propellants (EDBP) and composite propellants (CP), in the uniaxial tensile mode in a constant rate of travel machine. The propellant behaves as a viscoelastic material and invariably exhibits stress relaxation, which cannot be simulated by elastic mechanical property parameters. In order to generate a complete stress-strain curve of a solid rocket propellant under tensile testing, different classes of solid rocket propellants were evaluated and the stress-strain curve generated was modelled using the single spring-single dashpot Maxwell fluid model. Using two constants, called the spring constant (K) and the damping factor (D), it was possible to generate a complete stress-strain curve. Mathematical formulation gives the stress (σ) - strain (ε) relation as….[wzór]. Additionally the physical nature of the spring constant resembles that of the elastic constant and the damping coefficient gives the contribution of the viscous part of the load bearing capacity of solid rocket propellants. The development of a general mathematical formulation, the calculation of constants for different classes of propellants and insight into the viscoelastic nature of propellants are the main themes of this article. For all classes of propellants, two ratios are defined. The first is a dimensionless parameter 'H', which is the ratio of the spring constant to the initial elastic modulus. The second is the ratio of the damping coefficient to the spring constant depicted by parameter 'S'. The spring constant is higher than the initial elastic modulus and the value of 'H' is always higher than 1. For brittle propellants (extruded double base propellants, EDBPs, with a high elastic modulus), the spring constant is numerically very close to the spring constant (H is around 1.75). As the ductility (percentage elongation) of the solid rocket propellants increases (from cartridge loaded composite propellants, CLCPs, to case-bonded composite propellants, CBCPs), the value of parameter 'H' also increases (H ~ 10 for CP). For EDBPs the parameter 'S' is smaller (~ 1.24), but for CLCPs and CBCPs, it is high (S ~ 5 to 8). Both of these ratios are basic properties of the polymeric matrix. The first ratio depicts the departure of the actual stress-strain curve from linearity, while the second ratio is another way of expressing the relaxation time. A higher 'H' indicates a softer and more ductile propellant, while a higher 'S' indicates a shorter relaxation time for the propellant. A lower 'S' indicates that the propellant recovers faster on removal of strain.
Rocznik
Tom
Strony
189--199
Opis fizyczny
Bibliogr. 19 poz., fig.
Twórcy
autor
autor
- High Energy Materials Research Laboratory (HEMRL) Sutarwadi, Pune-411 021, India, himanshudrdo@rediffmail.com
Bibliografia
- [1] Davenas A., Development of Modern Solid Propellants, J. Prop. Power, 2003, 19(6), 1108-1128.
- [2] Hunley J.D., The History of Solid-Propellant Rocketry: What We Do and Do Not Know, AIAA Paper 99-2925, 35th AIAA, SAE, ASEE Joint Propulsion Conference and Exhibit, Los Angeles, California, June 20-24, 1999.
- [3] Lipanov A.M., Historical Survey of Solid Propellant Rocket Development in Russia, J. Prop. Power, 2003, 19(6), 1067-1088.
- [4] Davenas A., History of the Development of Solid Rocket Propellant in France, J. Prop. Power, 1995, 11(2), 285-291.
- [5] Aoki I., Kubota N., History of Propellant Development in Japan, AIAA Paper 94-3059, June 1994.
- [6] Zhang D.X., Ye D.Y., Evolution of Solid Rocket Propulsion Technology for Space Missions in China, Journal of Solid Rocket Technology, 2002, 25(2), (published online).
- [7] Haridwar Singh, Solid Rocket Propellants Technology in India, South-Asia Defence & Strategic Review, July-Aug 2008, 32-35.
- [8] Standard Test Method for Tensile Properties of Plastics, ASTM D638-08, ASTM International, USA, 2008.
- [9] Treolar L.R.G., The Physics of Rubber Elasticity, 6th ed., Oxford, Clarendon Press, UK, 1975.
- [10] Britton S.C., Characterization of Solid Propellants as Structural Materials (A condensation of the original articles), in: Solid Rocket Structural Integrity Abstract, (R.A. Westmann, Ed.), Vol II, No 4, California Institute of Technology, Firestone Flight Science Laboratory, Pasadena, USA, Oct. 1975.
- [11] Landel R.F., Smith T.L., Viscoelastic Properties of Rubberlike Composite Propellant and Filled Elastomers, ARS Journal, 1961, 599-608.
- [12] Williams M.L., Landel R.F., Ferry J.D., The Temperature Dependence of Relaxation Mechanism in Amorphous Polymers and Other Glass Forming Liquids, Journal of American Chemical Society, 1955, 77, 3701-3707.
- [13] Jeremic R., Some Aspects of Time-Temperature Superposition Principle Applied for Predicting Mechanical Properties of Solid Rocket Propellants, Propellants Explos. Pyrotech., 1999, 24, 221-223.
- [14] Niehaus M., Greeb O., Optimization of Propellant Binders – Part Two: Macroscopic Investigation of the Mechanical Properties of Polymers, Propellants Explos. Pyrotech., 2004, 29(6), 333-338.
- [15] Weigand D.A., Constant Strain Criteria for Mechanical Failure of Energetic Materials, Journal of Energetic Materials, 2003, 21, P109-124.
- [16] Ho S.-Y., High Strain-Rate Constitutive Models for Solid Rocket Propellants, J. Prop. Power, 2002, 18(5), 1106-1111.
- [17] Tian D.-Y., Hong W.-L., Liu J.-F., Liu J.-H., Simulation Calculation of Mechanical Performance of HTPB-Based Propellants, 36th Int. Annual Conference of ICT and 32nd Int. Pyrotechnic Seminar, Karlsruhe, Germany, June 28 – July 01, 2005, 170-1.
- [18] Shekhar H., Sahasrabudhe A.D., Maxwell Fluid Model for Generation of Stress-strain Curves of Viscoelastic Solid Rocket Propellants, Propellants Explos. Pyrotech., 2010, 35, 321-325.
- [19] Shekhar H., Sahasrabudhe A.D., Viscoelastic Modelling of Solid Rocket Propellants using Maxwell Fluid Model, Defence Science Journal, 2010, 60(4), 423-427.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0043-0027