Micromechanical models for porous and cellular materials in linear elasticity and viscoelasticity

Ghezal, Marieme Imene El; Maalej, Yamen; Doghri, Issam

doi:10.1016/j.commatsci.2012.12.021

Cited by 40 publications

(33 citation statements)

References 46 publications

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“…In the other hand, as a general observation, the differential scheme (DM) fits the FE results very well for overlapping spheres for the whole range of porosity. A discussion about these results and further comparisons can be found in our earlier work [5].…”

Section: Comparison Of Computational Results With Mf Modelsmentioning

confidence: 76%

“…To this end, supplementary FE computations were performed for open cell cellular materials on unit cells. Details of the model are given in [5]. In figure 4 we make a zoom on the range of large concentration and we report only the DM and R-A model results as well as those of some theoretical models dedicated to cellular materials, namely Zhu et al [15] and Li et al [9].…”

Section: Mf Models For Cellular Solids?mentioning

confidence: 97%

“…The moduli fluctuation between the three different random generations (for the first two microgeometries) was found to be less than 3%. For each RVE, five tests were carried out, namely, three tensile tests (in order to extract both effective Young's modulus and Poisson's ratio and to check the isotropy of the RVE), simple shear test and hydrostatic tensile test [5].…”

Section: Finite Elementsmentioning

confidence: 99%

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Micromechanical Modeling of Porous Solids

Ghezal¹,

Doghri²

2013

Poromechanics V

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In this paper, we focus on the prediction of the elastic and linear viscoelastic properties of porous solids based on their microstructure for the entire range of porosity. Both analytical models, namely Mean Field theory for porous solids and beam theory for cellular solids, and Finite Elements method are used and the corresponding results are compared. For low porosity Mean Field models yield good predictions, but when increasing the void concentration and the pores become macroscopically interconnected, only the Differential Method continues to give good estimates. The potential of Mean Field models suitable for highly porous solids to predict the response of cellular materials is also investigated.

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Section: Comparison Of Computational Results With Mf Modelsmentioning

confidence: 76%

Section: Mf Models For Cellular Solids?mentioning

confidence: 97%

Section: Finite Elementsmentioning

confidence: 99%

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Micromechanical Modeling of Porous Solids

Ghezal¹,

Doghri²

2013

Poromechanics V

Self Cite

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“…A variety of models were generated this way by choosing between overlapping [18,19] or non-overlapping [20,21] pores, and between uniform [18,19,20,21] or non-uniform [22] pore size distribution. More realistic models can be created by requiring their characteristics to match that of real microstructures in a statistical sense.…”

Section: Introductionmentioning

confidence: 99%

Homogenization of steady-state creep of porous metals using three-dimensional microstructural reconstructions

Kwok

Boccaccini

Persson

et al. 2016

International Journal of Solids and Structures

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The effective steady-state creep response of porous metals is studied by numerical homogenization and analytical modeling in this paper. The numerical homogenization is based on finite element models of three-dimensional microstructures directly reconstructed from tomographic images. The effect of model size, representativeness, and boundary conditions on the numerical results are investigated. Two analytical models for creep rate of porous bodies are derived by extending the Hashin-Shtrikman bound and the Ramakrishnan-Arunchalam model in linear elasticity to steady-state creep based on nonlinear homogenization. The numerical homogenization prediction and analytical models obtained in this work are compared against reported measurements and models. The relationship between creep rate and porosity computed by homogenization is found to be bounded by the Hodge-Dunand model and the Hashin-Shtrikman creep model, and closely matched by the Gibson-Ashby compression and the Ramakrishnan-Arunchalam creep models.

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“…Therefore, general conclusions which ideally should require broader parametric studies are difficult to reach. Another class of models that may bring valuable insight on this aspect makes use of idealized microstructure geometry descriptions to explore and understand elementary mechanisms related with the particular morphology of the material [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In spite of the fact that such models cannot fully resemble scanned data, they provide the opportunity to single out the influence of specific morphological parameters of the material for various physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets

2015

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A general and widely tunable method for the generation of Representative Volume Elements ( RVEs ) for cellular materials based on distance and level set functions is presented. The approach is based on random tessellations constructed from random inclusion packings. A general methodology to obtain arbitraryshaped tessellations to produce disordered foams is presented and illustrated. These tessellations can degenerate either in classical Voronoï tessellations potentially additively weighted depending on properties of the initial inclusion packing used, or in Laguerre tessellations through a simple modification of the formulation. A versatile approach to control the particular morphology of the obtained foam is introduced. Specific local features such as concave triangular Plateau borders and non-constant thickness heterogeneous coatings can be built from the tessellation in a straightforward way and are tuned by a small set of parameters with a clear morphological interpretation.

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Micromechanical models for porous and cellular materials in linear elasticity and viscoelasticity

Cited by 40 publications

References 46 publications

Micromechanical Modeling of Porous Solids

Micromechanical Modeling of Porous Solids

Homogenization of steady-state creep of porous metals using three-dimensional microstructural reconstructions

An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets

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