Infinitesimal approach to the crystallography of martensitic transformation: application to Ni-Ti

Martensite structure in polycrystalline Fe–Pd

“…Further, Eq. (2) means that the undistorted interface of these BCVs is (110) or (1( 10) [10]. These two planes coincide with a twinning plane for these BCVs, as reported by Sugiyama, Oshima and Fujita [3,4].…”

“…Using a previous result [10], it can be shown that TWP(1, 2) and TWP(2, 3) can have an undistorted interface of (101) or (1( 01), if…”

“…The undistorted plane of the combination of BCV(2) and BCV (3) is (011) or (01 ( 1) and that of BCV (3) and BCV (1) is (101) or (101( ). A combined variant can form a plate, which does not cause (long range) stress, as discussed before [10] and will be examined later in the present specific problem. As seen in Fig.…”

“…a 0 is the lattice parameter of austenite and a is the lattice parameter of the two a-axes and c that of the c-axis in martensite. Throughout this paper, we will use an infinitesimal deformation approach to analyze the geometry and structure of martensite [10]. A single BCV cannot form a stress free martensite plate [10].…”

“…Throughout this paper, we will use an infinitesimal deformation approach to analyze the geometry and structure of martensite [10]. A single BCV cannot form a stress free martensite plate [10]. Thus, we must examine a combined variant that has an invariant plane interface with the matrix.…”