The elastic response of a cohesive aggregate—a discrete element model with coupled particle interaction

Jefferson, George; Haritos, George; McMeeking, Robert M.

doi:10.1016/s0022-5096(02)00051-0

Cited by 56 publications

(89 citation statements)

References 17 publications

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“…For instance, Chang and co-workers (Chang and Misra, 1990;Chang and Lun, 1992;Chang and Liao, 1994;Chang and Gao, 1996;Hicher and Chang, 2005) have derived constitutive relations based on the microstructure for elastic properties of the granular material. Jefferson et al (2002) have presented a discrete particle model which provides an improved estimate for the effective elastic response of cohesive elastic aggregates undergoing homogeneous deformation. Furthermore, Bažant and co-workers have presented microplane model that has been successfully applied to model concrete fracture and anelasticity (Bažant and Caner, 2005).…”

Section: Introductionmentioning

confidence: 99%

Micromechanical model for cohesive materials based upon pseudo-granular structure

Misra

Yang

2010

International Journal of Solids and Structures

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a b s t r a c tA micromechanical model for cohesive materials is derived by considering their underlying microstructure conceptualized as a collection of grains interacting through pseudo-bonds. The pseudo-bond or the inter-granular force-displacement relations are formulated taking inspiration from the atomistic-level particle interactions. These force-displacement relationships are then used to derive the incremental stiffnesses at the grain-scale, and consequently, obtain the sample-scale stress-strain relationship of a representative volume of the material. The derived relationship is utilized to study the stress-strain and failure behavior including the volume change and ''brittle" to ''ductile" transition behavior of cohesive materials under multi-axial loading condition. The model calculations are compared with available measured data for model validation. Model predictions exhibit both quantitative and qualitative consistency with the observed behavior of cohesive material.

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Section: Introductionmentioning

confidence: 99%

Micromechanical model for cohesive materials based upon pseudo-granular structure

Misra

Yang

2010

International Journal of Solids and Structures

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“…The elastic properties of the compact were also considered as density dependent. These effective properties were calculated based on the modeling work done by Jefferson et al [31] for elastic properties of porous solids. Values for effective Poisson's ratio and effective Young's modulus are presented in Table 2.…”

Section: Coupled Thermal-displacement (Sintering) Detailsmentioning

confidence: 99%

Fully coupled thermal–electric-sintering simulation of electric field assisted sintering of net-shape compacts

McWilliams

Zavaliangos

2014

J Mater Sci

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A fully coupled thermal-electric-sintering finite element model was developed and implemented to predict heterogeneous densification in net-shape compacts using electric field assisted sintering techniques (FAST). FAST is a single-step processing operation for producing bulk materials from powders, in which the powder is heated by the application of electric current under pressure. Previous modeling efforts on FAST have mostly considered the thermal-electric aspect of the problem and have largely neglected the sintering aspect of the problem. A new model was developed by integrating a phenomenological sintering model into a previously established thermal-electric finite element framework to predict the densification kinetics of the sample. The model was used to quantify the effect of specimen geometry on the evolution of thermoelectric gradients and resulting heterogeneous sintering kinetics during FAST processing of a conductive powder. It is shown that the new model which considers sintering kinetics and density-dependent properties provides a substantial increase in accuracy compared to thermal-electric only models. It is also shown that small changes in local resistance due to densification can greatly impact the distribution of thermoelectric gradients during the process, which are exacerbated by heterogeneous stress states induced by sample geometry. Experimental characterization of sintered specimens is used to provide qualitative validation of the model predictions.

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“…1). The normal and tangential forces between bonded particles have been derived from the model and the finite-element calculations given by Jefferson et al [24]. More details may be found in an earlier application of this model [15].…”

Section: Strongly Bonded Aggregatementioning

confidence: 99%

“…Here, w ¼ 0:37 has been taken based on the upper bound of the model of Jefferson et al [24]. The tangential contact force, T b depends linearly on the accumulated tangential displacement at the contact, u T , as [24]:…”

Section: Strongly Bonded Aggregatementioning

confidence: 99%

Effect of particle size in aggregated and agglomerated ceramic powders

et al. 2010

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The elastic response of a cohesive aggregate—a discrete element model with coupled particle interaction

Cited by 56 publications

References 17 publications

Micromechanical model for cohesive materials based upon pseudo-granular structure

Micromechanical model for cohesive materials based upon pseudo-granular structure

Fully coupled thermal–electric-sintering simulation of electric field assisted sintering of net-shape compacts

Effect of particle size in aggregated and agglomerated ceramic powders

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