TY - JOUR
T1 - Continuum theory of 4mm-2mm proper ferroelastic transformation under inhomogeneous stress
AU - Cao, Wenwu
AU - Krumhansl, James A.
PY - 1990
Y1 - 1990
N2 - We have studied a model square-rectangular proper ferroelastic transition in an inhomogeneous stress field (R) with nonzero deviatoric stress component. This stress field can induce spatially heterogeneous transformations. Quasi-one-dimensional solutions for the lattice displacement fields u are derived both analytically and numerically for some special choices of stress functions. We find that the local instability is influenced by three factors: temperature, the magnitude of the applied stress, and the stress size. A critical strength c(=0.801 in dimensionless units) exists such that for (R)max>c a local transition can occur without an activation energy. The constraints of boundary conditions on the allowed solutions are also examined, and single-phase or twinned embryos may be formed through local transitions for free boundary conditions or fixed ends, respectively.
AB - We have studied a model square-rectangular proper ferroelastic transition in an inhomogeneous stress field (R) with nonzero deviatoric stress component. This stress field can induce spatially heterogeneous transformations. Quasi-one-dimensional solutions for the lattice displacement fields u are derived both analytically and numerically for some special choices of stress functions. We find that the local instability is influenced by three factors: temperature, the magnitude of the applied stress, and the stress size. A critical strength c(=0.801 in dimensionless units) exists such that for (R)max>c a local transition can occur without an activation energy. The constraints of boundary conditions on the allowed solutions are also examined, and single-phase or twinned embryos may be formed through local transitions for free boundary conditions or fixed ends, respectively.
UR - http://www.scopus.com/inward/record.url?scp=35949013803&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35949013803&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.42.4334
DO - 10.1103/PhysRevB.42.4334
M3 - Article
AN - SCOPUS:35949013803
VL - 42
SP - 4334
EP - 4340
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 7
ER -