Mechanical behavior of polycrystalline materials
Abstract
From the mechanical point of view, polycrystalline materials have to be considered as
a specific class of composites. They are composed of many grains, with grains size
ranging from nm to cm scales. Grains are generally assembled in a random way, i.e.
their size, shape, and lattice orientation do not depend on the size, shape, and orientation
of the surrounding grains (figure 1). Therefore, the microstructure of polycrystals
can hardly be described exactly. Most of the time, one can only access a statistical
characterization of grain arrangement e.g. with the help of cross-correlation functions.
In the Euler orientation space, microstructure description is generally limited to
the distribution of crystal lattice orientations (Orientation Distribution Function, ODF,
or crystallographic texture).
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