Dresden 2009 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 17: Mechanical Properties III
MM 17.6: Vortrag
Dienstag, 24. März 2009, 11:30–11:45, IFW D
Elasticity of Porous Materials with Multicontinuous Microstructure — •Sebastian C. Kapfer1, Christoph H. Arns2,3, Klaus R. Mecke1, Stephen T. Hyde3, and Gerd E. Schröder-Turk1 — 1Friedrich-Alexander-Universität, Erlangen, Germany — 2University of New South Wales, Sydney, Australia — 3Australian National University, Canberra, Australia
Porous microstructure models reminiscent of existing biomaterials are derived from minimal surfaces of cubic symmetry. The microstructures are composed of a linear elastic solid and a void phase, both of which are continuous. The effective elastic properties of these structures are calculated using a voxel-based finite element method. It is found that effective bulk and shear moduli of the microstructures can be related to the porosity by a power law with fractional exponent. The exponent is found to depend on the topology of the material. Results of similar functional form have previously been reported by A. P. Roberts and E. J. Garboczi for random porous material models (cf. Proc R Soc Lond A (2002) 458 pp. 1033–1054).