A nonlinear viscoelastic constitutive model for cyclically loaded solid composite propellant

Tong, Xin; Xu, Jie; Doghri, Issam; Ghezal, Marieme Imene El; Krairi, Anouar; Chen, Xiong

doi:10.1016/j.ijsolstr.2020.04.011

Cited by 22 publications

(13 citation statements)

References 35 publications

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“…The algorithm established in this paper can accurately and effectively simulate the dynamic mechanical properties of PBX9501. Compared with the methods reported in the existing literature 14 , 31 – 34 , there are two important differences: (I) For the discretization of the VE integral, an algorithm for the explicit update of a GMM was developed by using two schemes: constant VE strain rate, and mid-point rule. Due to small Δ t under impact loading, the methods are exact that the VE strain rate is constant over the step.…”

Section: Model Validationmentioning

confidence: 99%

“…Buechler et al 13 developed a new implementation of a constitutive model incorporate Visco-SCRAM and linear VE with isotropic damage evolution to represent PBXs in finite element simulations of thermomechanical response under quasi-static compression. Tong et al 14 developed a nonlinear VE model to describe the quasi-static behavior of PBX using two stress-dependent nonlinear functions within the hereditary integral formulation of viscoelasticity. Jung et al 15 proposed a nonlinear VE constitutive model of solid propellants under quasi-static loading.…”

Section: Introductionmentioning

confidence: 99%

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A viscoelastic–viscoplastic constitutive model for polymer bonded explosives under low impact loading

Xiao

Wang

et al. 2022

Sci Rep

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Viscoplastic work is very important to explosive ignition under impact loading. At present, a large number of constitutive models only consider the viscoelastic and damage behavior of explosives, ignoring the plastic effect under low impact loading. A new viscoelastic–viscoplastic (VE–VP) model was developed and studied to describe the dynamic mechanical behaviors of polymer-bonded explosives (PBXs). The total strain was assumed to be the sum of the viscoelastic (VE) and viscoplastic (VP) components. A generalized Maxwell model was used to determine the VE responses. A VP model was developed by using the classical J2 rate-dependent model with isotropic hardening. Viscoplastic flow was considered in hyperbolic sinusoidal form. The explicit algorithms of VE model were proposed and assessed by using two different integration methods. The accuracy and efficiency of these two methods are similar at high strain rates. The coupled algorithms of VE–VP model were developed by referring to the classical elasto-viscoplasticity (EVP) provided and using the expression of incremental relaxation modulus. The proposed model was implemented in the ABAQUS using a user-subroutine (VUMAT) to predict the response behaviors of PBX 9501 under low impact loading. Several numerical simulations illustrated the computational efficiency and the accuracy of the proposed methods. The model predictions were compared with experimental data, and reasonable agreement was obtained.

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Section: Model Validationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A viscoelastic–viscoplastic constitutive model for polymer bonded explosives under low impact loading

Xiao

Wang

et al. 2022

Sci Rep

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“…However, larger terms would lead ill-conditioned identification problems and are not easy to be applied due to complex parameters. For solid propellant, there are usually 3 to 9 terms of Prony series are used to fit relaxation curve at room temperature or master relaxation curve under unsteady temperatures 5 , 24 , 32 , 44 , 49 . Besides, our recent study has shown that the relaxation curve at a signal temperature has a better prediction accuracy than the master curve under unsteady temperatures 51 .…”

Section: Model Parameters Identification and Validationmentioning

confidence: 99%

“…( 19) and Eq. ( 21), the critical value of damage initiation potential can be presented as It shows that comparing with traditional damage initiation criterion with critical strain 22,43 or critical stress 40,44 as the judgment parameter, the new damage initiation criterion (see Eqs. ( 19) and ( 21)) adopts the strain energy density as the judgement parameter, which takes into account both the stress and strain.…”

Section: Constitutive Modelmentioning

confidence: 99%

A nonlinear viscoelastic constitutive model with damage and experimental validation for composite solid propellant

Chen

et al. 2023

Sci Rep

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The development of a nonlinear viscoelastic constitutive model of composite solid propellant (CSP) coupled with effects of strain rate and confining pressure is essential to assess the reliability of solid propellant grains during ignition operation process. In the present work, a nonlinear viscoelastic constitutive model with novel energy-based damage initiation criterion and evolution model was firstly proposed to describe the coupled effects of confining pressure and strain rate on mechanical responses of CSP. In the developed damage initiation criterion and evolution model, the linear viscoelastic strain energy density was introduced as the damage driving force, and the coupled effects of strain rate, damage history and confining pressure on damage growth were taken into account. Then, uniaxial tensile tests from low strain rates to medium strain rates and various confining pressures, and stress relaxation tests were conducted using a self-made active confining pressure device. Finally, the identification procedures of model parameters and validation results of the constitutive model were presented. Moreover, the master curve of damage initiation parameter was constructed through the time-pressure superposition principle (TPSP). The results show that the developed nonlinear constitutive model is capable of predicting the stress–strain responses of CSP under different strain rates and confining pressures.

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“…According to a number of literatures, while polymers are subjected to mechanical loading, the energy dissipated caused self-heating phenomena [14]. Tong et al [15][16][17] studied the self-heating effect of HTPB propellant during fatigue and proposed a novel nonlinear viscoelastic constitutive model to describe the mechanical behavior under cyclic loading. Katunin et al [18,19] presented and discussed the phenomenological model of self-heating of a composite structure during air cooling.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on self-heating phenomena of CMDB/HTPB propellant under intermediate strain rate compression load

Wang

Zhang

et al. 2023

J. Phys.: Conf. Ser.

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Self-heating behaviour of solid propellants under intermediate strain rate compressive loading have been studied. Effects of two intermediate strain rate (1 s-1 and 150 s-1) of the CMDB/HTPB propellants were investigated. The compression test was conducted using a hydraulic testing machine and the self-heating temperatures were measured by an infrared camera. The results show the following: (1) For CMDB propellant, the surface temperature of specimens rapidly increased at the initial period, then decreased due to the movement of the high temperature region caused by deformation, and then increased again. Finally, the surface temperature slowly decreased due to heat transfer to the surroundings. Infrared thermography showed the formation of a hot spot. Cracks were initiated and gradually expanded to the interior area during compression. (2) For HTPB propellant, the surface temperature of specimens increased slightly. Compared with CMDB specimens, there was no significant damage to HTPB specimens. (3) For both CMDB and HTPB propellants, the temperature distribution of specimens was non-homogeneous. At the centre of the specimen surface, the temperature is the highest. The self-heating temperatures of propellant increased with increasing the strain rate. However, the difference is slight for HTPB propellant, whereas it is considerable for CMDB propellant.

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A nonlinear viscoelastic constitutive model for cyclically loaded solid composite propellant

Cited by 22 publications

References 35 publications

A viscoelastic–viscoplastic constitutive model for polymer bonded explosives under low impact loading

A viscoelastic–viscoplastic constitutive model for polymer bonded explosives under low impact loading

A nonlinear viscoelastic constitutive model with damage and experimental validation for composite solid propellant

Experimental study on self-heating phenomena of CMDB/HTPB propellant under intermediate strain rate compression load

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