Berlin 2008 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 31: Mechanical Properties III
MM 31.2: Vortrag
Mittwoch, 27. Februar 2008, 17:45–18:00, H 0111
Predicting deformation localisation in cellular materials — •John Dunlop1, Richard Weinkamer1, Yves Bréchet2, and Peter Fratzl1 — 1Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Research Campus Golm, 14424, Potsdam, Germany — 2Groupe Physique du Métal, SIMAP INPG, Domaine Universitaire de Grenoble, 38402 Saint Martin d'Hères, France
Cellular and porous solids fail under compressive loading through the nucleation and propagation of localised deformation bands throughout the material. In ordered cellular solids such as trabecular bone, wood, as well as in honeycombs and three dimensional periodic lattices localisation or crush bands form in which the localisation plane has a specific orientation with respect to the lattice architecture and the applied load. This has a strong similarity to martensitic phase transformations in atomic crystals which can be described by the propagation of elastic instabilities along particular weak crystallographic directions. The instabilities of atomic crystals were first studied by Born, and there is now a well developed theory available to describe and analyse such structures. In this contribution the lattice dynamics theory is applied to beam lattices of different architectures in order to predict the direction of deformation localisation beam lattices of different architectures in two and three dimensions.