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In a first approach, a strictly periodic twin pattern containing periodic disclination walls with optimally screened stress fields is considered.
There are only seven families of twin pattern, including many new structures, such as checkerboard, toothbrush and non-classic herringbone patterns.
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The resulting crystals show a great variety of regular polygonal shapes with multiple twin patterns.
The substructure at an early stage of shear banding was found to strongly depend upon existing defects, especially deformation twin patterns.
Thus, geometrically linear compatibility theory is first used to obtain the full set of rank-2 laminate twin patterns which can possibly form in the trigonal SMAs.
On the other hand, enforcing different boundary conditions resulted in completely different twinning patterns and phase volume fractions.
Three-dimensional crystal plasticity finite element simulation of the indentation deformation supports the interpretation of the orientation dependent slip and twinning patterns around the indents.
It was shown that applying different initial conditions, such as seed embryo or random, did not change the twinning patterns or the final volume fractions of the parent and product phases after the relaxation period.
With a focus on local symmetry, the microstructural basis for high piezoelectric performance in PbMg1/3Nb2/3O3 xPbTiO3 (PMN PT) ceramics at the morphotropic phase boundary (MPB) composition was investigated by means of convergent-beam electron diffraction analysis and twin diffraction pattern analysis.
The Twins' attendance pattern -- between 1.05 million and 1.4 million between 1994 and 2000 -- echoes that of the Indians' before Jacobs Field was built in Cleveland.
In Fig. 2, the typical twin-vortex pattern in terms of the electrostatic potential can be identified, except for the quiet time.
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