On the Elastic Moduli of 3-D Printed Materials
Graeme Milton
Mathematics, University of Utah
ABSTRACT: Three-dimensional printing gives us unprecedented abilities to tailor microstructures to achieve desired goals. From the mechanics perspective one would like, for example, to know how to design structures that guide stress in the way that conducting fibers guide current. In that context the natural question is: what are the possible pairs of (average stress, average strain) that can exist in the material? A more grand question is: what are the possible effective elasticity tensors that can be achieved by structuring a material with know moduli? Graeme Milton reviews some of the progress that has been made on this question.
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