[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7779/JKSNT.2016.36.1.9

Ultrasonic Estimation and FE Analysis of Elastic Modulus of Kelvin Foam

Kim, Nohyu (School of Mechatronics Engineering, Korea University of Technology and Education)
Yang, Seungyong (School of Mechatronics Engineering, Korea University of Technology and Education)

Publication Information

Journal of the Korean Society for Nondestructive Testing / v.36, no.1, 2016 , pp. 9-17 More about this Journal

Abstract

The elastic modulus of a 3D-printed Kelvin foam plate is investigated by measuring the acoustic wave velocity of 1 MHz ultrasound. An isotropic tetrakaidecahedron foam with 3 mm unit cell is designed and printed layer upon layer to fabricate a Kelvin foam plate of 14 mm thickness with a 3D CAD/printer using ABS plastic. The Kelvin foam plate is completely filled with paraffin wax for impedance matching, so that the acoustic wave may propagate through the porous foam plate. The acoustic wave velocity of the foam plate is measured using the time-of-flight (TOF) method and is used to calculate the elastic modulus of the Kelvin foam plate based on acousto-elasticity. Finite element method (FEM) and micromechanics is applied to the Kelvin foam plate to calculate the theoretical elastic modulus using a non-isotropic tetrakaidecahedron model. The predicted elastic modulus of the Kelvin foam plate from FEM and micromechanics model is similar, which is only 3-4% of the bulk material. The experimental value of the elastic modulus from the ultrasonic method is approximately twice as that of the numerical and theoretical methods because of the flexural deformation of the cell edges neglected in the ultrasonic method.

Keywords

Ultrasonic Nondestructive Evaluation; Kelvin Foam; Elastic Modulus; Acoustic Wave Velocity; Cellular Material; Porosity;

Citations & Related Records

Reference

1	P. Kumar, "Investigation of Kelvin-like solid foams for potential engineering applications: An attractive set of geometrical and thermo-hydraulic properties," Ph. D thesis, Department of Mechanical Engineering, Aix-Marseille University, France (2014)
2	R. A. Ayers, S. J. Simske, T. A. Bateman, A. Petkus, R. L. C. Sachdeva and V. E. Gyunter, "Effect of nitinol implant porosity on cranial bone ingrowth and apposition after 6 weeks," Journal of Biomedical Materials Research, Vol. 45, No. 1, pp. 42-47 (1999) DOI
3	G. Ryon, A. Pandit and D. P. Apatsidis, "Fabrication methods of porous metals for use in orthopaedic applications," Biomaterials, Vol. 27, No. 13, pp. 2651-2670 (2006) DOI
4	Y-W Kim, T-H Nam and S. Young, "Production of a highly porous Ti-Ni shape memory alloy by solid state sintering of rapidly solidified fibers," Science of Advanced Materials, Vol. 6, pp. 2005-2009 (2014) DOI
5	C. Prest, J. Poole, J. Stevick, T. Waniuk and Q Pham, "Layer-by-layer construction with bulk metallic glasses", United States Patent Application Publication, No. US20130309121 (2013)
6	C. Tekoglu, L. J. Gibson, T. Pardoen and P. R. Onck, "Size effects in foams: Experiments and modeling," Progress in Materials Science, Vol. 56, pp. 109-138 (2011) DOI
7	C. C. Chamis, "Mechanics of composite materials: Past, present and future," Journal of Composites Technology and Research, Vol. 11, No. 1, pp. 3-14 (1989) DOI
8	W. E. Warren and A. M. Kraynik, "Linear elastic behavior of a low-density Kelvin foam with open cells," Journal of Applied Mechanics, Vol. 64, pp. 787-794 (1997) DOI
9	R. M. Sullivan, L. J. Ghosn and B. A. Lerch, "Application of an elongated Kelvin model to space shuttle foams," Journal of Spacecraft and Rockets, Vol. 46, No. 2, pp. 411-418 (2009) DOI
10	R. M. Sullivan, L. J. Ghosn and B. A. Lerch, "A general tetrakaidecahedron model for open-celled foams," International Journal of Solids and Structures, Vol. 45, pp. 1754-1765 (2011)
11	R. Gabbrielli, "Foam geometry and structural design of porous material," Ph. D thesis, Department of Mechanical Engineering, University of Bath, England (2009)