DEM–FEA estimation of pores arrangement effect on the compressive Young’s modulus for Mg foams

Perez, Laetitia; Lascano, Sheila; Aguilar, C.; Estay, Danilo; Messner, U.; Figueroa, I.A.; Alfonso, I.

doi:10.1016/j.commatsci.2015.08.042

Cited by 16 publications

(3 citation statements)

References 17 publications

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“…The variation of initial boundary conditions helps to create more realistic sintering models that take the naturally occurring fluctuations within real green bodies into account. The results calculated by the kMC method can be integrated into FEM component‐level sintering models in order to define the average microstructure of the sintering component …”

Section: Conversion Of Highly Filled Papers Into Paper‐derived Sintermentioning

confidence: 99%

Highly Filled Papers, on their Manufacturing, Processing, and Applications

et al. 2019

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Since more than a decade ago, the research on highly filled papers, as well as paper-derived inorganic materials, has greatly intensified. As presented in this review, highly filled papers as preforms allow for the design of porous or dense, multilayered, and geometrically complex structures. These paperderived ceramic-or metal-based materials are generated by the heattreatment of highly filled papers. Paper-derived materials are potential materials of choice for applications in transportation, energy-generation, environmental conservation, support structures, medical uses, and electronic components. Due to the adjustability of the filler content and the good machinability of highly filled papers, paper-derived sheets or multilayers may include intricate structures and tailored gradients in phase structure or porosity. Paper-derived multilayers also may contain cast ceramic tapes or other functionalized layers, as presented in some examples. Computer-aided manufacturing processes for paper-derived materials can be supplemented by prediction models for the sintering shrinkage in order to identify optimal post-processing steps, stacking orders and orientations for highly filled paper layers within multilayer green bodies. The accuracy of established component-level sintering models can be significantly increased by microstructure models of the highly filled paper. ParameterName Unit α Mismatch parameter for fiber cross-sections, Equation (5) Dimensionless α p Layer position in viscoelastic paper structure model, Equation (2) Dimensionless A 0 Initial amplitude of perturbation, Equations (15) 10 À6 m A(f) Parameter for evolution of instantaneous carbon conversion rate, Equation (7) Dimensionless A diff Source controlled diffusion parameter, Equations (9) 10 À7 N A match Modeling parameter, Equations (8) Dimensionless a Inter-particle contact-area radius, Equations (19) 10 À8 m a Local average pore area, Equation (4) 10 À6 m 2 b Pore geometry constant, Equation (20) Dimensionless ß evo , m evo Empirical constants for grain evolution in SOVS model, Equation (8) Dimensionless ß r(c)p Proportionality constant for bimodal packing fraction determination, Equation (18) Dimensionless C Modeling constant for debindering pressure calculation, Equation (7) 10 À6 (m 2 Á s)/K C 1 , C 2 , C 3 , C 4 , C 5 Parameters in the Riedel model that are determined by the dihedral angle, Equations (9) Dimensionless c glue Heat capacity of the adhesive layers, Equation (3) 10 À6 s c L , c s Volume fraction of larger-sized/smaller-sized particles in a multimodal mixture of particles, Equation (17)and (18) 10 0 vol% c vol Volume concentration of pulp fibers, Equation (4) 10 0 vol% γ, γ 0 Strain relaxation rate of calendered paper with initial value, Equation (2) Dimensionless γ B Grain boundary energy density, Equation (13) 10 0 J m À2 γ b Specific energy for grain boundary diffusion, Equation (9) 10 3 J mol À1 γ S Material surface energy, Equation (8, 11, and 13) 10 0 J m À2 Δ Half of the inter-particle boundary thickness, Equation (19) 10 À8...

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Section: Conversion Of Highly Filled Papers Into Paper‐derived Sintermentioning

confidence: 99%

Highly Filled Papers, on their Manufacturing, Processing, and Applications

et al. 2019

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“…Therefore, finite element analysis (FEA) proves to be a powerful tool for calculating the E values. The accuracy of E values' calculation relies on the type of the porosity parameters employed [38]. The complexity increases when dealing with materials that exhibit graded porosity in certain dimensions, such as radial, angular, or height, especially when considering the cylindrical coordinate system.…”

Section: Introductionmentioning

confidence: 99%

Simulation of the Influence of the Radial Graded Porosity Distribution on Elastic Modulus of γ/β Phase Ti-Based Alloy Foams for Bone Implant

Aguilar,

Alfonso,

González

et al. 2023

Materials

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This research aims to examine how a radial graded porosity distribution affects the elastic modulus by conducting simulations on Ti-based alloy foams with face-centered cubic and body-centered cubic crystal structures. Four types of foams were analyzed; commercially pure-Ti, Ti-13Ta-6Mn (TTM), Ti-13Ta-(TT) and Ti-13Ta-6Sn (TTS), (all in at.%). Four radial graded porosity distribution configurations were modeled and simulated using the finite element analysis (FEA). The radial graded porosity distribution configurations were generated using a Material Designer (Ansys) with a pore range of 200 to 600 μm. These radial graded porosity distributions had average porosity values of 0, 20, 30 and 40%. The consolidated samples that were obtained through a powder metallurgy technique in two step samples were synthesized using a powder metallurgy technique, with the elastic moduli values of the aforementioned Ti based alloys being measured by ultrasound using ~110, ~69, ~61 and ~65 GPa, respectively. The results showed that the modulus decreased as a function of porosity level in all simulated materials. The TTM, TT and TTS foams, with average porosities of 20, 30 and 40%, exhibited an modulus smaller than 30 GPa, which is a requirement to be used as a biomaterial in human bones. The TT foams showed the lowest modulus when compared to the other foams. Finally, certain theoretical models were used to obtain the modulus, the best being; the Gibson–Ashby model (α = 1 and n = 2.5) for the cp-Ti foams and Knudsen–Spriggs model (b = 3.06) for the TTM, TT and TTS foams.

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“…With respect to sample size there can be distinguished three main strategies to represent material microstructure [13] : multi-cell models of finite samples, unit-cell models where a single or limited number of periodic base-cells are modeled, and embedded-cell models as combination of both types. In the case of multi-cell models, a relatively large sample is modeled to minimize size-effects and, as consequence, this can lead to high computational costs [26,37,47,71] . In order to reduce computational effort for low density open-cells foams or lattice-type structures, simplified geometrical models [12] can be applied.…”

Section: Introductionmentioning

confidence: 99%

Mesh-free micromechanical modeling of inverse opal structures

Dosta

Bistreck

Skorych

et al. 2021

International Journal of Mechanical Sciences

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The application of mesh-free discrete element method (DEM) for modeling of macroporous inverse opals is proposed. The developed and implemented DEM-based strategy is applied to analyze stiffness and strength of inverse opals made of pure silica and inverse opals coated with titania layers of various thicknesses. Also, the influence of the porosity of the initial packing on the properties of the material is investigated. Simulation results have shown that due to the heterogeneous macroscopic structure and unequal material distribution in nodes, struts or near interstitial pores, strong inhomogeneities of the stress distribution arise. Spots of localized stresses located near the interpore openings are the sources of initial defects and small interpore cracks. Reducing the overall porosity or an additional coating of the structure with a titania layer allows to partially homogenize and improve its mechanical properties.It was shown that the obtained simulation results are in very good agreement with previous studies. Despite large computational effort, the performed analysis confirms the high efficiency of the proposed DEM-based approach and demonstrates its great potential for use in problems of a similar class: for modelling of complex-structured multicomponent materials.

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DEM–FEA estimation of pores arrangement effect on the compressive Young’s modulus for Mg foams

Cited by 16 publications

References 17 publications

Highly Filled Papers, on their Manufacturing, Processing, and Applications

Highly Filled Papers, on their Manufacturing, Processing, and Applications

Simulation of the Influence of the Radial Graded Porosity Distribution on Elastic Modulus of γ/β Phase Ti-Based Alloy Foams for Bone Implant

Mesh-free micromechanical modeling of inverse opal structures

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