On the Determination of Viscoelastic Model Parameters and Microstructural Damage Evolution of Solid Propellants

doi:10.12382/bgxb.2022.1256

Abstract

Abstract:

Accurately determining the model parameters of solid propellant is of great importance for the prediction of its macroscopic mechanical response. A parameter determination method based on multi-step stress relaxation experiments is proposed to calibrate the nonlinear viscoelastic model parameters of solid propellants uncoupled. The proposed method determines the parameters for the elastic part by multi-step stress relaxation equilibrium response and the dimensionless relaxation modulus by stress relaxation in the case of small deformation. The proposed method is then used to analyze the mechanical response of solid propellants. The results show that the predicted results of multi-step stress relaxation and uniaxial tension under different strain rates of the material agree with the experimental results, which verifies the validity of the proposed method. Moreover, since the equilibrium response includes damage, the parameters calibrated by the proposed method can be used to predict the mechanical response of solid propellant with damage. Consequently, the parameters of the composite matrix are derived from the determined parameters of solid propellant, and a viscoelastic debonding criterion-based interface model is introduced to establish a representative volume element (RVE) model, thus achieving the interface debonding analysis in a wide range of strain (~100%), which provides an effective method supporting the prediction of mechanical response and microstructural damage evolution of solid propellants.

Key words: viscoelastic model, parameter calibration, multi-step stress relaxation, composite matrix, interface model, solid propellant

CLC Number:

TB333

WUBULIAISAN Maimaitituersun, WU Yanqing, HOU Xiao, YIN Xinmei, ZHANG Xin. On the Determination of Viscoelastic Model Parameters and Microstructural Damage Evolution of Solid Propellants[J]. Acta Armamentarii, 2024, 45(4): 1038-1046.

Figures/Tables 12

Fig.1 Stress response of a hyper-viscoelastic solid

Fig.2 Determination of viscoelastic model parameters through multi-step stress relaxation test

Table 1 Components of NEPE propellant

组分	GAP体系	AP	CL-20	Al	其他
质量分数/%	24.6	10.5	42.5	16.9	5.5
颗粒尺寸/μm		50~200	10~100	10

Fig.3 Uniaxial tensile test of NEPE propellant

Fig.4 Multi-step stress relaxation and predicted results of NEPE propellant

Table 2 Dimensionless stress relaxation coefficients for NEPE propellant

i	m_i	τ_i/s
1	0.595	1.0
2	0.051	9.0
3	0.043	87.0
∞	0.311

Fig.5 Comparison between experimental and numerical results of NEPE propellant

Fig.6 Packing RVE of NEPE propellant

Fig.7 Comparison between experimental and simulated results of NEPE propellant before damage initiation

Fig.8 Diagrammatic sketch of energy decomposition during deformation

Fig.9 Comparision between test and predicted results of NEPE propellant

Fig.10 Damage evolution in the RVE

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