Abstract
In order to discuss the transmission of forces and moments in cellular materials, a computational scheme by use of rod-beam element is adopted to represent open-celled skeletal materials with random configuration. The target domain is obtained by so-called the Voronoi tessellation technique, in which we consider the line segments of the polyhedra as the substantial beam-like members, and these members are interconnected with each other at the corners. Finite element analyses by rod-beam elements are then carried out to examine the characteristics of the complex structures. We discuss the transition from microscopic deformation in member beams to macroscopic response of such structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ashby MF, Evans A, Fleck N, Gibson L, Hutchinson JW, Wadley H (2000) Metal foams: A design guide. Butterworth-Heinemann, Boston
Aurenhammer F, Klein R (2000) Voronoi diagrams. In: Sack JR, Urrutia J (eds) Handbook of Computational Geometry, North-Holland, Amsterdam, pp 201–290
Bathe KJ (1995) Finite Element Procedures. Prentice Hall, New Jersey
Brostow W, Dussault JP, Fox BL (1978) Construction of Voronoi polyhedra. Journal of Computational Physics 29(1):81–92
Cioranescu D, Donato P (1999) An Introduction to Homogenization. Oxford Univ. Press, Oxford
Finney JL (1979) A procedure for the construction of Voronoi polyhedra. Journal of Computational Physics 32(1):137–143
Gibson LJ (1989) Modelling the mechanical behavior of cellular materials. Materials Science and Engineering: A 110:1–36
Gibson LJ, Ashby FA (1997) Cellular Solids: Structure and Properties, 2nd edn. Cambridge University Press, Cambridge
Gong L, Kyriakides S, Jang WY (2005) Compressive response of open-cell foams. Part I: Morphology and elastic properties. International Journal of Solids and Structures 42(5):1355–1379
Hughes TJR (1987) The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, New York
Imatani S (2007) Development of microscopic inhomogeneities in polycrystalline aggregate. In: Bruhns OT, Meyers A (eds) Plasticity and Impact Mechanics - IMPLAST 2007, The Univ. Press Bochum, Bochum, pp 531–538
Imatani S (2012a) Material characterization of polycrystals through hyperspace. In: Proceedings of 23rd International Congress on Theoretical and Applied Mechanics, pp SM04–049
Imatani S (2012b) Numerical evaluation of compressible plasticity behavior of metal foams. Technische Mechanik 32:265–272
Luxner MH, Stampfl J, Pettermann HE (2007) Numerical simulations of 3d open cell structures: influence of structural irregularities on elasto-plasticity and deformation localization. International Journal of Solids and Structures 44(9):2990–3003
Sanchez-Palencia E, Zaoui A (1987) Homogenization Techniques for Composite Media. Springer, Vienna
Weaire D, Hutzler S (2009) The Physics of Foams. Oxford University Press, New York
Acknowledgements
A part of this work was carried out when the first author stayed as a student in the International Course of Energy Science, Kyoto University. The financial support by the Ministry of Education, Sports, and Culture, Japan is highly appreciated. The authors wish to thank Dr. H. Miyauchi, a technical staff at Kyoto Prefectural Technology Center for Small and Medium Enterprises, for his help in preparation of materials by use of 3-D printer,
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Martínez-Pavetti, MB., Imatani, S. (2018). Analysis of Mechanical Response of Random Skeletal Structure. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_27
Download citation
DOI: https://doi.org/10.1007/978-3-319-72440-9_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72439-3
Online ISBN: 978-3-319-72440-9
eBook Packages: EngineeringEngineering (R0)