Thermomechanical modeling of regressing heterogeneous solid propellants

Srinivasan, Karthik; Matouš, Karel; Geubelle, Philippe H.; Jackson, T. L.

doi:10.1016/j.jcp.2009.07.003

Cited by 13 publications

(7 citation statements)

References 28 publications

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“…The interface between two materials experiences strains as high as 50%, and these are highly localized. These strains are of the same order as presented by Srinivasan et al [12]. The presence of large temperature gradients across the AP-binder interface (Figure 8) and moduli mismatch suggests that highly strained regions in the propellant exist at the interfacial boundaries.…”

Section: Thermo-mechanical Simulationssupporting

confidence: 78%

“…They observed a decrease in surface temperature because thermal expansion absorbs heat near the surface. Srinivasan et al [12] carried out two-dimensional studies of heterogeneous packs using a compressible hyperelastic model and found decreased regression rates for deformable propellants. They observed large thermo-mechanical strains at the AP-binder interface, within the thermal boundary layer.…”

Section: Introductionmentioning

confidence: 99%

“…While the choice of an Eulerian framework simplifies the computational aspect of the problem, it becomes challenging to provide a mathematical description of the mechanical behavior. To describe the stress state, it is routine to use a strain energy potential that is assumed to be a function of the deformation gradient and temperature [15,12]. To specify the deformation gradient, explicit information about the current location of material points is needed.…”

Section: Introductionmentioning

confidence: 99%

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Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method

Kumar

Rycroft

Jackson

2020

Combustion and Flame

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We present a mathematical model that describes thermo-mechanical deformations and thermal gradients on the unsteady burning of a heterogeneous solid propellant. A scaling study shows that the deformations in solid at combustion timescales can be treated as quasi-static. The resulting thermo-mechanical formulation is formulated on a Cartesian grid and makes use of a weak form of Chorin-type projection method to deal with large difference in shear modulus of constituent materials. A one-dimensional verification study is carried out by comparing numerical simulations with those of an analytical model. In addition, convergence studies for a two-dimensional propellant sandwich configuration are presented for the stress, velocity, and reference map components. Finally, simulations are carried out for a two-dimensional random propellant pack and the time-averaged burn rate and strains are reported.

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Section: Thermo-mechanical Simulationssupporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method

Kumar

Rycroft

Jackson

2020

Combustion and Flame

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“…Typically the interface is represented as a predefined contour, that is, 𝜙 = 0. Considering the propellant combustion 27 case for instance, ̇rb represents the burning rate based on modeling of effects from pyrolysis, gasification or sublimation. 9,11 In principle, ̇rb is primarily determined by T w .…”

Section: Interface Trackingmentioning

confidence: 99%

Numerical scheme solving the temperature of the interface between gas and heterogeneous solid with phase change

Cang

Wang

et al. 2021

Numerical Meth Engineering

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To solve the temperature at the fluid-solid interface in conjugate heat transfer simulations, a partitioned yet non-iterative scheme with desirable accuracy has been developed. It takes into account the involved complex effects, for example, heterogeneous solid structure, moving interface, and phase change.The fluid and solid phases are discretized by standard Cartesian and unstructured tetrahedron meshes, respectively. At each time step the moving fluid-solid interface is tracked with the level-set function. The non-iterative solution is achieved by formulating a linear system formed from the discretized interface elements, each of which, either triangular or quadrilateral, is assigned with a respective control volume constructed from adjacent grid points in both fluid and solid phases. The temperature gradient operator is treated by the node-based Green-Gauss formula for better robustness if the interface geometry (or mesh) is highly skewed. Numerical results demonstrate the second-order accuracy with satisfactory robustness even on highly skewed interfaces.

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“…Typical examples include polycrystalline materials, polymer blends, porous media, metal alloys, etc. Predicting the behavior of heterogeneous materials, whether mechanical [1,2,3,4,5], thermal [6,7,8,9], electrical [10,11,12] or otherwise, has been a long standing endeavor. These material properties strongly depend on the size, shape and spatial distribution of each phase.…”

Section: Introductionmentioning

confidence: 99%

Sharp volumetric billboard based characterization and modeling of complex 3D Ni/Al high energy ball milled composites

Yushu

Lee

Matouš

2017

Mechanics of Materials

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We present an innovative image-based modeling technique, based on Google Earth like algorithms, to effectively resolve intricate material morphology and address the computational complexity associated with heterogeneous materials. This sharp volumetric billboard algorithm stems from a volumetric billboard method, a multi-resolution modeling strategy in computer graphics. In this work, we enhance volumetric billboards through a sharpening filter to reconstruct the statistical information of heterogeneous systems. A hierarchy of microstructures is created for high energy ball milled Ni/Al composites. We analyze the first-and second-order statistics of microstructures, and characterize both macro-and micro-mechanical material responses. Furthermore, we conduct a convergence study of the associated computational results. The statistical and mechanical robustness of data compression is demonstrated through the corresponding error analysis.

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Thermomechanical modeling of regressing heterogeneous solid propellants

Cited by 13 publications

References 28 publications

Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method

Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method

Numerical scheme solving the temperature of the interface between gas and heterogeneous solid with phase change

Sharp volumetric billboard based characterization and modeling of complex 3D Ni/Al high energy ball milled composites

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