A general tetrakaidecahedron model for open-celled foams

Sullivan, Roy M.; Ghosn, Louis J.; Lerch, Bradley A.

doi:10.1016/j.ijsolstr.2007.10.028

Cited by 155 publications

(91 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The results for E and match very well with the available analytical models: Zhu et al [14] for an equisided tetrakaidecahedron unit cell and Sullivan et al [13,17] for the elongated tetrakaidecahedron unit cell. The maximum error in the elastic constants was only 0.55% for the elastic moduli and 0.35% for the shear moduli in the case of the equisided tetrakaidecahedron unit cell.…”

Section: Resultssupporting

confidence: 80%

“…Broadly, the available literature on foam mechanics can be classified into characterizing foams based on experimental studies [10][11][12] or characterizing foams based on analytical models [13,14].…”

mentioning

confidence: 99%

“…The analytical model by Sullivan et al [13] has been used for comparison with the foam modeled with elongated tetrakaidecahedron as the unit cell. The requisite expressions from both these papers [13,14] are reproduced in the Appendix, for completeness.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Elastic Properties of Open-Cell Foams with Tetrakaidecahedral Cells Using Finite Element Analysis

2010

View full text Add to dashboard Cite

A finite-element-method-based micromechanics has been used for predicting the orthotropic properties of opencell foams that have tetrakaidecahedral unit cells. Foams with equisided and Kelvin-elongated tetrakaidecahedron as unit cells are studied. The results for elastic constants from the finite element models agree well with those of available analytical models. The struts were modeled using both Euler-Bernoulli and Timoshenko beam elements. It is found that classical beam theory overpredicts the elastic moduli when the struts have smaller length-to-thickness ratios. The effect of varying strut cross section on the elastic constants is studied. The variation is assumed to be such that the strut cross section gradually decreases from maximum value at the support ends to minimum value at the beam midsection. It is found that for the same relative density, foams with varying cross sections have much lower elastic moduli than foams with uniform cross sections.

show abstract

Section: Resultssupporting

confidence: 80%

mentioning

confidence: 99%

See 1 more Smart Citation

Elastic Properties of Open-Cell Foams with Tetrakaidecahedral Cells Using Finite Element Analysis

2010

View full text Add to dashboard Cite

show abstract

“…The allowable range for inclination angle θ and the ratio b/L were determined by Sullivan et al (2008).…”

Section: The Effect Of Geometric Characteristics On Effective Thermalmentioning

confidence: 99%

“…Finally, by using this general structure definition, the relationship between the non-isotropic geometrical characteristics of opencell metal foam and the thermal conductivity value was studied accurately. (Boomsma and Poulikakos, 2001;Sullivan et al, 2008;Kwon et al, 2003). It is assumed that, the foam structure is organized by repeating these unit-cells.…”

Section: Introductionmentioning

confidence: 99%

Estimation of effective thermal conductivity enhancement using foam in heat exchangers based on a new analytical model

Haghighi

Kasiri

2010

Braz. J. Chem. Eng.

View full text Add to dashboard Cite

-Thermal performance of open-cell metal foam has been investigated under low Reynolds number by comparing the heat transfer coefficient and thermal conductivity for the flow through a packed channel of high porosity metal foam to that of an open channel. In the case of Al-Air at porosity 0.971, the ratio of heat transfer coefficients is estimated to be 18.5 when the thermal conductivity ratio of foam matrix to fluid conductivity is 130. This demonstrates that the use of foam in the structure of conventional air coolers increases effective thermal conductivity, heat transfer coefficient and thermal performance considerably. To overcome the drawbacks of previous models, a new model to describe the effective thermal conductivity of foam was developed. The model estimates effective thermal conductivity based on a non-isotropic tetrakaidecahedron unit-cell and is not confined only to isotropic cases as in previous models. Effective thermal conductivity is a function of foam geometrical characteristics, including ligament length (L), length of the sides of horizontal square faces (b), inclination angle that defines the orientation of the hexagonal faces with respect to the rise direction (θ), porosity, size, shape of metal lump at ligament intersections and heat transfer direction. Changing dimensionless foam ligament radius or height (d) from 0.1655 to 0.2126 for Reticulated vitreous foam -air (RVC-air) at θ= π 4 and dimensionless spherical node diameter (e) equal to 0.339 raises effective thermal conductivity by 31%. Moreover, increasing θ from π 4 to 0.4π for RVC-air at d=0.1655 and e=0.339 enhances effective thermal conductivity by 33%.

show abstract