Shape and packing effects in particulate composites: micromechanical modelling and numerical verification

Majewski, M.; Wichrowski, M.; Hołobut, Paweł; Kowalczyk-Gajewska, K.

doi:10.1007/s43452-022-00405-9

Cited by 4 publications

(2 citation statements)

References 46 publications

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“…Secondly, by combining the self-consistent equations (eqs. (36,37)), the packing model (eqs. (26)(27)(28)(29)), and the correlation curve r − φ M (38), we proposed an analytical model to compute the effective shear modulus of a suspension of bidisperse particles in a yield stress fluid up to the maximal packing points of the interactions (RMRPM).…”

Section: Discussionmentioning

confidence: 99%

“…Majewski et al expanded Marcadon's model by validating its theoretical predictions with numerical data through finite element computational homogenization for both linear [35,36] and nonlinear [37] problems. However, the lack of detailed calculations involving geometric information in the pattern makes the packing parameter function more as a fitting parameter rather than a physically determinable quantity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A refined Morphological Representative Pattern approach to the behavior of polydisperse highly-filled inclusion–matrix composites

Tran

Nguyen

et al. 2023

International Journal of Solids and Structures

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A refined Morphological Representative Pattern approach to the behavior of polydisperse highly-filled inclusion–matrix composites

Tran

Nguyen

et al. 2023

International Journal of Solids and Structures

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Cubic elasticity of porous materials produced by additive manufacturing: experimental analyses, numerical and mean-field modelling

Kowalczyk-Gajewska,

Maj,

Bieniek

et al. 2024

Archiv.Civ.Mech.Eng

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Although the elastic properties of porous materials depend mainly on the volume fraction of pores, the details of pore distribution within the material representative volume are also important and may be the subject of optimisation. To study their effect, experimental analyses were performed on samples made of a polymer material with a predefined distribution of spherical voids, but with various porosities due to different pore sizes. Three types of pore distribution with cubic symmetry were considered and the results of experimental analyses were confronted with mean-field estimates and numerical calculations. The mean-field ‘cluster’ model is used in which the mutual interactions between each of the two pores in the predefined volume are considered. As a result, the geometry of pore distribution is reflected in the anisotropic effective properties. The samples were produced using a 3D printing technique and tested in the regime of small strain to assess the elastic stiffness. The digital image correlation method was used to measure material response under compression. As a reference, the solid samples were also 3D printed and tested to evaluate the polymer matrix stiffness. The anisotropy of the elastic response of porous samples related to the arrangement of voids was assessed. Young’s moduli measured for the additively manufactured samples complied satisfactorily with modelling predictions for low and moderate pore sizes, while only qualitatively for larger porosities. Thus, the low-cost additive manufacturing techniques may be considered rather as preliminary tools to prototype porous materials and test mean-field approaches, while for the quantitative and detailed model validation, more accurate additive printing techniques should be considered. Research paves the way for using these computationally efficient models in optimising the microstructure of heterogeneous materials and composites.

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Viscoelastic debonding criterion-based interface for modeling the mechanical behavior of solid propellants subjected to large deformation

Wubuliaisan

Hou

et al. 2023

European Journal of Mechanics - A/Solids

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Shape and packing effects in particulate composites: micromechanical modelling and numerical verification

Cited by 4 publications

References 46 publications

A refined Morphological Representative Pattern approach to the behavior of polydisperse highly-filled inclusion–matrix composites

A refined Morphological Representative Pattern approach to the behavior of polydisperse highly-filled inclusion–matrix composites

Cubic elasticity of porous materials produced by additive manufacturing: experimental analyses, numerical and mean-field modelling

Viscoelastic debonding criterion-based interface for modeling the mechanical behavior of solid propellants subjected to large deformation

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