Intact and Predamaged Boron Carbide Strength under Moderate Confinement Pressures

Chocron, Sidney; Anderson, Charles E.; Dannemann, Kathryn A.; Nicholls, Arthur E.; King, Nikki

doi:10.1111/j.1551-2916.2011.04931.x

Cited by 24 publications

(15 citation statements)

References 26 publications

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“…This relation is important when developing yield surfaces for brittle failure. 45,55,56 Two distinct trends where observed in our experiments. In alumina samples with elongated particle shape, increasing the particle size resulted in the curve shifted to the left.…”

Section: Discussionsupporting

confidence: 77%

“…In addition to probing the effects of particle size on bulk modulus and transmission ratio, the effects of particle size on the hydrostatic response as a function of porosity was explored. This relation is important when developing yield surfaces for brittle failure . Two distinct trends where observed in our experiments.…”

Section: Discussionsupporting

confidence: 64%

“…In addition, comparing our data with other experiments in the literature, there are numerous modeling approaches in the literature that attempt to describe granular compaction and comminution , with some models requiring adjustable parameters that have no fundamental physical basis . Classical failure models often do not account for grain size but rather only account for strength to void ratios .…”

Section: Discussionmentioning

confidence: 89%

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Quasi‐static confined uniaxial compaction of granular alumina and boron carbide observing the particle size effects

et al. 2019

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The quasi‐static confined uniaxial compaction of granular alumina and boron carbide was studied, and the effect of triaxial stress on the materials as a function of increasing particle size was observed. The average particle sizes studied for granular alumina were 170 ± 63, 230 ± 55, 330 ± 67, and 450 ± 83 µm. The average particle size studied for granular boron carbide were 170 ± 40, 190 ± 34, 320 ± 59, and 470 ± 90 µm. The material response at hydrostatic pressure as a function of porosity, the bulk modulus as a function of hydrostatic pressure, and the transmission ratio as a function of applied load was evaluated for increasing particle size. For alumina, the increase in particle size resulted in an increase in strength for a fixed porosity, the bulk modulus of this material did not show clear particle size‐dependent trends, and the transmission ratio increased with increase in particle size. Conversely, for granular boron carbide, the hydrostatic pressure‐porosity curve shifted to the right with increasing particle size, the change in bulk modulus increased with increasing particle size, and no clear particle size‐dependent trends were observed when looking at the transmission ratio during the experiment. Post‐experiment scanning electron microscopy revealed that alumina powder fragmented from elongated shapes to block‐like structures, while boron carbide powder appeared more circular before the experiments and fragmented into smaller comminuted pieces. This paper discusses the implication of the work in the context of the limited experimental data in the field and the modeling of granular advanced ceramics behavior.

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Section: Discussionsupporting

confidence: 77%

Section: Discussionsupporting

confidence: 64%

Section: Discussionmentioning

confidence: 89%

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Quasi‐static confined uniaxial compaction of granular alumina and boron carbide observing the particle size effects

et al. 2019

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“…Each platen consisted of a tungsten carbide disc that had been confined by a heat-shrunk Ti-6Al-4V collar. With a diametric misfit of 25 lm, the confining pressure generated by the heat-shrunk Ti-6Al-4V can be as high as 220 MPa [8], resulting in a sufficient enhancement of strength to make the WC discs reusable. At the same time, the end faces of both platens and specimen were lubricated to minimize the friction at the interface.…”

Section: Qualitative Validation Simulation Resultsmentioning

confidence: 99%

Multi-scale defect interactions in high-rate failure of brittle materials, Part II: Application to design of protection materials

Tonge

Ramesh

2016

Journal of the Mechanics and Physics of Solids

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Micromechanics based damage models, such as the model presented in part I of this 2 part series [1], have the potential to suggest promising directions for materials design. However, to reach their full potential these models must demonstrate that they capture the relevant physical processes. In this work, we apply the multiscale material model described in [1] to ballistic impacts on the advanced ceramic boron carbide and suggest possible directions for improving the performance of boron carbide under impact conditions. We simulate both dynamic uniaxial compression and simplified ballistic loading geometries to demonstrate that the material model captures the relevant physics in these problems and to interrogate the sensitivity of the simulation results to some of the model input parameters. Under dynamic compression, we show that the simulated peak strength is sensitive to the maximum crack growth velocity and the flaw distribution, while the stress collapse portion of the test is partially influenced by the granular flow behavior of the fully damaged material. From simulations of simplified ballistic impact, we suggest that the total amount of granular flow (a possible performance metric) can be reduced by either a larger granular flow slope (more angular fragments) or a larger granular flow timescale (larger fragments). We then discuss the implications for materials design.

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“…The mechanical behavior of damaged ceramics was described in previous studies using different mathematical formulations including Mohr‐Coulomb (MC), Drucker Prager (DP), Johnson, Holmquist, and Beissel (JHB), two‐mechanism elastoplastic, and micromechanical models. MC and DP models, which are generally employed for geomaterials, are simple, convenient and capable of capturing pressure‐dependency.…”

Section: Introductionmentioning

confidence: 99%

A rate‐dependent constitutive model for brittle granular materials based on breakage mechanics

2019

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Modeling the rate‐dependent mechanical behavior of brittle granular materials is of interest to defense applications, civil and mining engineering, geology, and geophysics. In particular, granulated ceramics in armor systems play a significant role in the overall dynamic material response of ceramics, particularly in their penetration resistance. This paper presents a rate‐dependent constitutive model for brittle granular materials based on a recent reformulation of breakage mechanics theory. The rate‐dependency is introduced via the overstress theory of viscoplasticity. The proposed formulation incorporates the effects of relative density and particle grading on strength and porous compaction/dilation, and is capable of tracking their evolution. The model is devised with internal variables linked to underlying dissipative micromechanisms including configurational reorganization, particle breakage and frictional dissipation. A strategy for calibrating model parameters and required experiments are described. The impact of loading rate on shear strength and grading evolution are explored through a sensitivity analysis. The presented model is capable of capturing several key features of the experimentally observed behavior of brittle granular materials including stress‐, rate‐ and density‐dependent stress‐strain and volume change responses, the competition between dilation and breakage‐induced compaction, the evolving particle grading due to particle breakage, and the evolution toward a critical (steady) state under shearing. A possible application of this micromechanics‐inspired modeling framework involves integrating it into rate‐dependent models for ceramics to assist in improving the impact performance of next‐generation ceramics.

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Intact and Predamaged Boron Carbide Strength under Moderate Confinement Pressures

Cited by 24 publications

References 26 publications

Quasi‐static confined uniaxial compaction of granular alumina and boron carbide observing the particle size effects

Quasi‐static confined uniaxial compaction of granular alumina and boron carbide observing the particle size effects

Multi-scale defect interactions in high-rate failure of brittle materials, Part II: Application to design of protection materials

A rate‐dependent constitutive model for brittle granular materials based on breakage mechanics

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