A one-dimensional viscoplastic constitutive theory for filled polymers

Browning, Richard V.; Gurtin, Morton E.; Williams, Walter L.

doi:10.1016/0020-7683(84)90081-7

Cited by 22 publications

(6 citation statements)

References 5 publications

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“…Let us note that the ratchet growth phenomenon (cycles of temperature without mechanical loading yields irreversible strain) has never been observed for this material. For other TATB-based PBXs, the experimental database mainly includes monotonic uniaxial compression tests performed between 10 -5 s -1 and 10 -3 s -1 for temperatures from -52°C to 74°C (Blumenthal et al, 1999;Skidmore et al, 1998;Thompson et al, 2010;Zubelewicz et al, 2013), with creep phase (Gagliardi and Cunningham, 2007) or with load-unload cycles (Browning et al, 1984). There are also data on the tension behavior, in monotonic loading from 10 -5 s -1 to 10 -3 s -1 for temperatures from -52°C to 74°C (Thompson, 2002;Thompson et al, 2010;Zubelewicz et al, 2013) and two papers provide tension failure data for different temperatures and strain rates (Idar et al, 2000;Thompson et al, 2012a).…”

Section: Tatb-based Pbxsmentioning

confidence: 99%

“…A review of the various tests carried out on these materials is proposed in section 2 of this paper. Published experimental data on PBXs are essentially limited to uniaxial compression or tension tests, at various temperatures, in which only longitudinal strains are measured (Blumenthal et al, 1999;Browning et al, 1984;Buechler, 2012aBuechler, , 2012bBuechler et al, 2013;Ellis et al, 2005;Funk et al, 1996;Gagliardi and Cunningham, 2007;Gray et al, 1998;Skidmore et al, 1998;Thompson, 2002;Thompson et al, 2010;Zubelewicz et al, 2013). Some compression tests on an HMX-based PBX under various confinement pressures can be mentioned (Wiegand et al, 2011) as well as a torsion test on PBX-9501 (Gagliardi and Cunningham, 2009).…”

Section: Introductionmentioning

confidence: 99%

“…Peeters and Hackett (1981) have reproduced the time-dependence of the behavior of pressed explosives. They developed two unidimensional models: a law for compression and creep for monotonic loadings, and a linear viscoelastic model able to simulate unloading and reloading (see also Browning et al, 1984). A famous macroscopic model is the SCRAM (Statistical CRAcks Mechanics) model (Dienes, 1978(Dienes, , 1996Dienes et al, 2006).…”

Section: Introductionmentioning

confidence: 99%

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Quasistatic mechanical behavior of HMX- and TATB-based plastic-bonded explosives

Plassart

Picart

Gratton

et al. 2020

Mechanics of Materials

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Section: Tatb-based Pbxsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quasistatic mechanical behavior of HMX- and TATB-based plastic-bonded explosives

Plassart

Picart

Gratton

et al. 2020

Mechanics of Materials

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“…Browninge tal. [32] using creepd ata, have characterized PBX9501's materialp roperties leading to the development of an integral formulationo favisco-plasticm odel for describingt he behavior of PBX9501. Schapery [33,34] studied composite propellants and the works ubsequently lead to av iscoelastic-plastic constitutivem odelt hat also included damage.…”

Section: Compressivestrengtha Safunction Of Strain Ratementioning

confidence: 99%

Dynamic Mechanical Behavior of PBX

Xiao

Sun

et al. 2016

Propellants Explo Pyrotec

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1IntroductionPolymer bonded explosives (PBXs) [1][2][3][4] have usually been considered as ap articulate composite material containing the energetic materials hexahydro-1,3,5-trinitro-1,3,5-s-triazine (RDX) embedded in av iscoelastic polymer binder. PBXs are widely used in av ariety of conventional engineering and aerospace fields. As ah ighly-filled composite material, PBX exhibits complex physical and mechanical properties that are dependent on an umber of variables, such as temperature, strain rate, grains weight, and size distribution of grains, etc. [5,6].The Los Alamos National Laboratory (LANL) performed al ot of research on dynamic mechanical properties of PBXs. These results suggested that dynamic mechanical properties of PBX are strongly influenced by strain rate and temperature [7][8][9][10].A lso, the compressive strength is enhanced when increasing strain rate or decreasing temperature. PBX9501i sw idely researched at present,a nd the result illustrated that PBX9501 duringh igh-rate loading continue straining after the maximum flows tress have been achieved. Figure 1s hows the published compressive stress-strain data on PBX9501 currently known to the authors. When the peak strengths of PBX9501 are achieved, the flow strength beginst od ecline sharply because of damage accumulation. Graye tal. [11] revealed that at high-rate PBX 9501 fails via predominantly transgranular cleavage through the HMX crystals. Strains to failure remain almost constant throughout,a talevel of approximately 1-3 %. In fact, these damagep rocesses give rise to the enhanced sensitivity of PBX9501 followinga ni mpact.In the presented work, the micromechanical modelh as profited greatly from the theoretical analysis of Weng and co-workers [12-17] and considerable referencet ot heir work is madet hroughout this article. Their work is based on Eshelby's celebrateds olution of the stressa nd strain fields arising from the presence of an ellipsoidal inhomogeneity in an elastic matrix and Mori and Ta naka'se ffective medium theory,w hich was used to extendE shelby's analysis to larger valueso ff iller concentration [18,19].C lements and Mas have put forth am ethod that is ah ybrid of two Abstract:T he dynamic mechanical properties of PBX1314 and its binder are systematicallyi nvestigated. Based on split-Hopkinson pressure bar technique, the experimental results of PBX1314 and its binder are obtainedu nder high strain rate. Ac onstitutive theory is developed for modeling the mechanical response of dynamically loaded PBX1314 binder.T oa ccomplish this aim, the PBX1314 binderi sa ssayed by relaxation tests at different temperatures, in order to apply the time-temperature superposition principle (TTSP) and raise the masterc urves, based on WLF equation.The rate dependence of mechanical response of the polymer binder is accounted for by ag eneralized Maxwell viscoelasticity model. The basis for this work is Mori and Ta naka's effectivem ediumt heory.T he grains in this analysis are assumed to be spherical and uniformly distributed in the b...

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“…An early constitutive model for PBX 9502 was developed by Browning et al [40]. This was a one-dimensional (1D) viscoplastic model.…”

Section: Modelingmentioning

confidence: 99%