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A property estimation
sequence is presented for determining local elastic properties of a two-phased,
two-constituent functionally graded material (FGM) plate subject to impact
loading. The property estimation sequence combines the use of experimentally
determined strain histories, finite element simulations of the experimental
impact events, and an analytical model of the impact tests. The experimental,
computational, and analytical models are incorporated into a parameter
estimation framework, based on optimization theory, to solve for material
properties of individual graded layers in the FGM plate specimens. The property
estimation sequence was demonstrated using impact tests performed on
a titanium-titanium boride (Ti-TiB) FGM plate system. The estimated
material properties of the Ti-TiB FGM from the sequence were shown to
correlate well with published material properties for the titanium-titanium
boride FGM system. The estimated properties were further input into a finite
element model of the impact events and were shown to approximate the
experimental strain histories well. This property estimation framework is
formulated to apply to virtually any two-phase FGM system and is thus an
invaluable tool for research engineers studying the response of FGMs under
load.
