Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC)

Schindler, Stefan; Mergheim, Julia; Zimmermann, Marco; Aurich, Jan C.; Steinmann, Paul

doi:10.1007/s00161-016-0515-0

Cited by 11 publications

(6 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Schindler et al [23] showed that this simplification is indeed valid, inducing an error of 0.18% when the maximal temperature variation over the domain is 1 K for 273 K ≤ T 0 ≤ 775 K.…”

Section: Micro-macro Scale Transition and Macrohomogeneity Conditionmentioning

confidence: 96%

“…The macrohomogeneity condition states that the specific entropy production rate should be conserved between the micro-and macro-scales [19,23]. For small temperature variations (T ≈ T 0 ) across Ω, this condition can be simplified to:…”

Section: Micro-macro Scale Transition and Macrohomogeneity Conditionmentioning

confidence: 99%

“…The domain at which convergence is reached is then defined as a representative volume element (RVE). By this definition, the ETC satisfies the macrohomogeneity condition 1 , i.e., fundamental thermodynamic quantities (entropy in the case of heat conduction) are conserved during scale transition [23]. However, real porous media such as foams can have prohibitively large RVE sizes due to the random microstructure and high contrast in phase properties [20,21,24].…”

Section: Latin ℓmentioning

confidence: 99%

See 2 more Smart Citations

Influence of boundary conditions on computation of the effective thermal conductivity of foams

Low

Blal

Naouar

et al. 2020

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

Accurate numerical simulation of the effective thermal conductivity (ETC) of 3D pore-scale foam models requires a judicious choice of boundary conditions, as the computational domains are often smaller than the representative volume element, giving rise to considerable edge effects. Within the finite element homogenization framework, a set of mixed boundary conditions are considered alongside the usual uniform and periodic boundary conditions. Validity criteria and order relations, demonstrated from entropy-based principles, are numerically verified on unit cell-based geometries, random virtual periodic foams, and non-periodic tomography-reconstructed foams of equivalent microstructure. A statistical treatment based on the integral range provides confidence intervals for the estimated ETC. For foam samples with random homogeneous porosity, the mixed boundary conditions are shown to fulfill the macrohomogeneity condition and thus provide thermodynamically valid ETC estimates. For periodic foams with irregular microstructure, the ETC is very slightly underestimated under the mixed boundary conditions. For non-periodic geometries, it is shown that periodic boundary conditions-commonly viewed as the reference-underestimate the ETC due to boundary geometry mismatch, while the mixed boundary conditions give a more accurate and precise estimate.

show abstract

“…Schindler et al [23] showed that this simplification is indeed valid, inducing an error of 0.18% when the maximal temperature variation over the domain is 1 K for 273 K ≤ T 0 ≤ 775 K.…”

Section: Micro-macro Scale Transition and Macrohomogeneity Conditionmentioning

confidence: 96%

Section: Micro-macro Scale Transition and Macrohomogeneity Conditionmentioning

confidence: 99%

Section: Latin ℓmentioning

confidence: 99%

See 1 more Smart Citation

Influence of boundary conditions on computation of the effective thermal conductivity of foams

Low

Blal

Naouar

et al. 2020

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

show abstract

“…Since then, Mg alloys have gained more recognition as a structural material for lightweight applications because of their low density, high stiffness-to-weight ratio, favorable castability, shock absorption, and excellent damping. Nevertheless, Mg alloys have not been used for critical applications because of their inferior mechanical properties, high manufacturing cost, and unfavorable formability at room temperature compared with other engineering materials [1][2][3][4]. One of the most frequently used methods for enhancing the mechanical properties of alloys is through strengthening by means of second-phase particles [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Particle Size and Particle Percentage Effect of AZ61/SiCp Magnesium Matrix Micro- and Nano-Composites on Their Mechanical Properties Due to Extrusion and Subsequent Annealing

Zhao

Huang

et al. 2017

Metals

View full text Add to dashboard Cite

Magnesium metal matrix composites (Mg MMCs) possess relatively more favorable mechanical properties than Mg alloys because they add reinforcements, such as small particles, short fibers, or continuous fibers, into the matrix. This study investigated the influence of adding different sizes and percentages of silicon carbide particles (SiCp) for manufacturing AZ61/SiCp Mg alloy composite extrusion plates on the mechanical properties of SiCp. We also examined the impact and discussed the evolution of microstructures, changes of material strength, ductility, formability, and other mechanical properties caused by a subsequent annealing treatment after plate extrusion. The results showed that the mechanical properties of plates can be improved by adding reinforcement particles. The effects of grain refinement were as follows: the smaller the size of the reinforcement particles, the greater the enhancement of mechanical properties. Among them, the AZ61/1 wt % SiCp/50 nm MMC plate had relatively excellent mechanical properties. Specifically, the ultimate tensile strength, yielding strength, ductility, hardness, and grain size of the plate were 331 MPa, 136.4 MPa, 43.1%, 62 HV,and 3.3 µm, respectively. Compared with SiCp-free Mg MMC plates, these properties of the AZ61/1 wt % SiCp/50 nm MMC plate were enhanced (or refined) by 6.4%, 3.4%, 83.4%, 2%, and 13.2%, respectively; by contrast, formability decreased by 9.1%.

show abstract

“…As a matter of fact, advanced models are often restricted to a limited variety of materials. Although isotropic and anisotropic polycrystalline metals, for instance, have been extensively studied by the means of both analytical and computational tools (Cailletaud et al 2003;Kanit et al 2003;Madi et al 2007;Berdin et al 2013;Fritzen et al 2013;Hor et al 2014;Kowalski et al 2016;Amodeo et al 2016;Schindler et al 2017), architectured materials bring up new challenges regarding the determination of effective properties.…”

Section: Architectured Materialsmentioning

confidence: 99%

From Architectured Materials to Large-Scale Additive Manufacturing

Dirrenberger¹

2018

Springer Series in Adaptive Environments

View full text Add to dashboard Cite

The classical material-by-design approach has been extensively perfected by materials scientists, while engineers have been optimising structures geometrically for centuries. The purpose of architectured materials is to build bridges across the microscale of materials and the macroscale of engineering structures, to put some geometry in the microstructure. This is a paradigm shift. Materials cannot be considered monolithic anymore. Any set of materials functions, even antagonistic ones, can be envisaged in the future. In this paper, we intend to demonstrate the pertinence of computation for developing architectured materials, and the not-so-incidental outcome which led us to developing large-scale additive manufacturing for architectural applications.

show abstract

Numerical homogenization of elastic and thermal material properties for metal matrix composites (MMC)

Cited by 11 publications

References 29 publications

Influence of boundary conditions on computation of the effective thermal conductivity of foams

Influence of boundary conditions on computation of the effective thermal conductivity of foams

Particle Size and Particle Percentage Effect of AZ61/SiCp Magnesium Matrix Micro- and Nano-Composites on Their Mechanical Properties Due to Extrusion and Subsequent Annealing

From Architectured Materials to Large-Scale Additive Manufacturing

Contact Info

Product

Resources

About