Abstract
Metal foams are materials of recent developments and applications that show interesting combinations of physical and mechanical properties. Foams are commonly used as of passive safety components due to their high capacity of energy absorption under impact conditions. In this work the foam is represented as a cellular material with a regular structure and specimens of a cellular metal are used to study the foam behaviour. Considering that compression is the dominant loading in impact situations, the deformation behaviour of finite dimensional cellular metal specimens under compression is investigated. The specimen deformation configuration is determined by means of fundamental buckling effects on cells walls evaluated from simple representative volume elements. Damage effects under a finite strain context are included together with self-contact considerations. The overall behaviour of a finite specimen is derived from an analytical and numerical framework based on the boundary conditions present on the foam. The main advantage of this method is the capability of determine the full behaviour of a complex foam configuration with only simple case analyses, with low computational cost.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Öchsner A, Lamprecht K (2003) On the uniaxial compression behavior of regular shaped cellular metals. Mech Res Commun 30:573–579
Shulmeister V (1998) Modelling of the mechanical properties of low-density foams. Delft University of Technology, Proefshrift
Hallström S, Ribeiro-Ayeh S (2005) Stochastic Finite Element Models of foam materials. In: Thomsen OT, Bozhevolnaya E, Lyckegaard A (eds) Sandwich structures 7: advancing with sandwich structures and materials, 1st edn. Springer Aalborg, Aalborg
Grenestedt JL, Tanaka K (1999) Influence of cell shape variations on elastic stiffness of closed cell cellular solids. Scripta Mater 40(1):71–77
Duvaut G (1984) Homogeneisation et materiaux composites. In: Ciarlet PG, Roseau M (eds) Trends and applications of pure mathematics to mechanics (Proceedings of Lecture notes in physics, vol 195), 1st edn. Springer, Berlin
Xia Z, Zhang Y, Ellyin F (2003) A unified periodical boundary conditions for representative volume elements of composites and applications. Int J Solids Struct 40:1907–1921
Öchsner A, Winter W, Kuhn G (2003) On an elastic-plastic transition zone in cellular metals. Arch Appl Mech 73:261–269
Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media. J Eng Mater T ASME 99:2–15
Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17:389–407
ABAQUS (1992) Theory manual v. 5.2. Hibbitt, Karlsson & Sorensen Inc, Providence
Munoz-Rojas PA, Fiedler T, Cunda LAB, Öchsner A, Creus GJ (2007) Parameter identification to simulate a traction test applying Gurson damage model. In: Proceedings of the CMNE 2007—Congress on Numerical Methods in Engineering/CILAMCE 2007—XXVIII Latin-American Congress on Computational Methods in Engineering
Oliveira BF, Cunda LAB, Öchsner A, Creus GJ (2006) Gurson damage model: applications to case studies. In: Proceedings of the CILAMCE 2006—XXVII Iberian-Latin American Congress on Computational Methods in Engineering
Linn RV, Oliveira BF (2008) Finite element simulation of compression behavior of cellular. In: Proceedings of the CILAMCE 2008—XXIX Iberian-Latin American Congress on Computational Methods in Engineering
Oliveira BF, Cunda LAB, Öchsner A, Creus GJ (2008) Comparison between RVE and full mesh approaches for the simulation of compression tests on cellular metals. Materialwiss Werkst 39(2):133–138
Oliveira BF, Cunda LAB, Öchsner A, Creus GJ (2007) Finite element simulation of compression tests on cellular metals. In: Proceedings of the CILAMCE 2007—XXVIII Iberian-Latin American Congress on Computational Methods in Engineering
Acknowledgments
We thank FAPERGS, CNPq, CAPES and PROPESQ-UFRGS for continuous support of our research projects.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Linn, R.V., Oliveira, B.F. (2015). Compression Behaviour of Finite Dimensional Cellular Metals by Generalization of Cell Buckling Effects. In: Ă–chsner, A., Altenbach, H. (eds) Mechanical and Materials Engineering of Modern Structure and Component Design. Advanced Structured Materials, vol 70. Springer, Cham. https://doi.org/10.1007/978-3-319-19443-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-19443-1_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19442-4
Online ISBN: 978-3-319-19443-1
eBook Packages: EngineeringEngineering (R0)