CONTINUUM THEORY OF 4MM-2MM PROPER FERROELASTIC TRANSFORMATION UNDER INHOMOGENEOUS STRESS

被引:6
作者
CAO, WW [1 ]
KRUMHANSL, JA [1 ]
机构
[1] CORNELL UNIV,ATOM & SOLID STATE PHYS LAB,ITHACA,NY 14853
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 07期
关键词
D O I
10.1103/PhysRevB.42.4334
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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. © 1990 The American Physical Society.
引用
收藏
页码:4334 / 4340
页数:7
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