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Plasticity of Cellular Metals (Foams)

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Plasticity of Pressure-Sensitive Materials

Part of the book series: Engineering Materials ((ENG.MAT.))

Abstract

Cellular metals, e.g., made by solidification of molten metal foam, have interesting mechanical properties, among them high specific strength and stiffness coupled with inflammability and good damping properties. This makes them interesting for engineering applications which require the prediction of the onset of yielding under multi-axial stress states and the development of plastic strains over a strain range that may extend into the regime of full compaction of the foam micro-structure, as it is the case in applications for crash protection. This chapter investigates the micro-mechanical deformation mechanisms which govern the elasto-plastic behavior of cellular metals on the macro-mechanical level, where the cellular structure can be treated as a homogeneous material if the difference between the cell size and the component size is large enough. If this is the case suitable constitutive models can be applied for predicting the onset of macroscopic yielding, the evolution of plastic strains and the hardening behavior. Thus, a review of the most important material models proposed for simulating the effective elasto-plastic behavior of isotropic cellular metals is presented. This behavior is characterized by a distinct pressure sensitivity, which sets apart the behavior of cellular metals from the one of solid metals as described by classical (e.g., von Mises) theory of plasticity.

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Notes

  1. 1.

    For obtaining this original form given in [27], this general relationship is helpful: \(a-b=\frac{(a+b)(a-b)}{(a+b)}=\frac{a^2-b^2}{a+b}.\)

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Acknowledgments

The author would like to thank Lorna J. Gibson, Ronald E. Miller, Vikram S. Deshpande, and Wolfgang Ehlers for helpful discussions regarding their respective publications. The author also wants to thank Maria Steininger for her help with obtaining some of the publications cited in this article.

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  1. CAE Simulation & Solutions, Pitkagasse 2/1/16, A-1210, Vienna, Austria

    Thomas Daxner

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  1. Thomas Daxner
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Correspondence to Thomas Daxner .

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Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Griffith School of Engineering, Griffith University, Southport, Australia

    Andreas Öchsner

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Daxner, T. (2014). Plasticity of Cellular Metals (Foams). In: Altenbach, H., Öchsner, A. (eds) Plasticity of Pressure-Sensitive Materials. Engineering Materials. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40945-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-40945-5_3

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