Elastic Properties of Model Porous Ceramics

By A. Roberts, Edward J. Garboczi. 2000

467 citations recorded by the source corpus.

The finite-element method (FEM) is used to study the influence of porosity and pore shape on the elastic properties of model porous ceramics. Young's modulus of each model is practically independent of the solid Poisson's ratio. At a sufficiently high porosity, Poisson's ratio of the porous models converges to a fixed value independent of the solid Poisson's ratio. Young's modulus of the models is in good agreement with experimental data. We provide simple formulas that can be used to predict the elastic properties of ceramics and allow the accurate interpretation of empirical property-porosity relations in terms of pore shape and structure.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d5527f58a19281ccd0cda77ec003b5e9bde8ea96

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Young’s modulus and volume porosity relationships for additive manufacturing applications (2013, unknown): “Chung 1963 [13] – Cites MacKenzie/Gatto as source for this eqn Spinner et al. 1963 [15] 0–40 Presents data for 2.7 ≤ 𝑟𝑟 ≤ 3.3 and 1.3 ≤ 𝑔𝑔 ≤ 1.5 𝐸𝐸𝑝𝑝/𝐸𝐸0 = [1 − (𝑎𝑎/𝑡𝑡)]𝑆𝑆 Roberts and Garboczi 2000 [41] 0–50 t and s are “empirical correlation parameters” Exponential equations…”
Determination of the size of the representative volume element for random quasi-brittle composites (2009, background): “, 2003), a tolerance for the scatter (Vinogradov, 2001), the two-point probability (Zeman and Sejnoha, 2001; Roberts and Garboczi, 2000), etc.”
Determination of the size of the representative volume element for random composites: statistical and numerical approach (2003, methodology): “In Roberts and Garboczi (2000), the finite element method is used to estimate the elastic properties for various models of porous ceramics.”
New Developments of Ti-Based Alloys for Biomedical Applications (2014, methodology): “Theoretical model, such as cross sectional or minimum solid area (MSA) [190], has been purposed to characterize mechanical properties of porous materials.”
Modeling the linear elastic properties of Portland cement paste (2005, methodology): “Digital resolution scaling [16–20] has been studied for other models, and needs to be better studied in the CEMHYD3D model for elastic properties.”
Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment (2002, methodology): “It has been previously shown (Roberts and Garboczi, 2000) that the variation of an elastic property P follows P(1) = P0 + a1, (1) where 1 is the voxel size, a is a fitting parameter, and P0 is the “continuum” value corresponding to infinite resolution.”
Effects of hot isostatic pressing on the elastic modulus and tensile properties of 316L parts made by powder bed laser fusion (2017, methodology): “An alternative empirical relationship for E as a function of porosity is given by Roberts et al,[55]:”
Linear elastic properties of 2D and 3D models of porous materials made from elongated objects (2001, methodology): “Since each column in equation (16) S Meille and E J Garboczi 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1”
A buckling-based metrology for measuring the elastic moduli of polymeric thin films (2004, result): “Furthermore, our measurements are generally in good agreement with finite-element computations for similar structures at low porosity, although to our knowledge, calculations have yet to be performed for the exact morphology of our material”