TY - JOUR
T1 - Branching of twins near an austenite—twinned-martensite interface
AU - Kohn, Robert V.
AU - Müller, Stefan
N1 - Funding Information:
R.V.K. was partially supported by National Science Foundation Grant No. DMS- 9102829, US Air Force Office of Scientific Research Grant No. 90-0090, and ARO Contract No. DAAL03-89-K-0039. S.M. was affiliated with Sonderforschungsbereich 256 and partially supported by National Science Foundation Grant No. DMS- 9002679.
PY - 1992/11
Y1 - 1992/11
N2 - We study the role of surface energy in determining twin width near an austenite—twinned-martensite interface. We find that there are two distinct regimes, depending on the relative values of the elastic moduli, surface energy density and grain size. In the first regime the twin width w is constant, of order L1/2, where L is the grain size. In the other regime the twin width is not constant; rather, it varies as l2/3, where l is the distance to the austenite. Most prior analyses have captured only the first regime, and it seems to be the one most commonly observed. However, twin branching consistent with our second regime has been observed in some materials.
AB - We study the role of surface energy in determining twin width near an austenite—twinned-martensite interface. We find that there are two distinct regimes, depending on the relative values of the elastic moduli, surface energy density and grain size. In the first regime the twin width w is constant, of order L1/2, where L is the grain size. In the other regime the twin width is not constant; rather, it varies as l2/3, where l is the distance to the austenite. Most prior analyses have captured only the first regime, and it seems to be the one most commonly observed. However, twin branching consistent with our second regime has been observed in some materials.
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U2 - 10.1080/01418619208201585
DO - 10.1080/01418619208201585
M3 - Article
AN - SCOPUS:84953602308
SN - 0141-8610
VL - 66
SP - 697
EP - 715
JO - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
JF - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
IS - 5
ER -