TY - JOUR

T1 - On the unstable propagation of a phase transition in a solid

AU - Hori, Muneo

AU - Kameda, Toshihiro

AU - Oguni, Kenji

PY - 1995/11

Y1 - 1995/11

N2 - To explore a possible mechanism of deep earthquakes, this paper analyzes the unstable propagation of a stress-induced phase transition which is initiated in a homogeneous stress field. This Stephen problem is formulated as an initial-value problem for the phase boundary, and the driving force of the boundary is computed by using the solution of the boundary-value problem for a partially transformed material. The propagation of the phase transition under uniform pressure is numerically simulated. It is shown that (1) under lower pressure, the transition is terminated at a certain size, but it can propagate unstably when an initially transformed region is sufficiently large; and (2) when the pressure attains a critical value, the propagation becomes unstable, and goes in a particular direction depending on the initial shape. These results confirm the possibility of the unstable propagation of phase transition, and provide a theoretical basis for the hypothesis that the phase transition of a mantle material can trigger a deep earthquake.

AB - To explore a possible mechanism of deep earthquakes, this paper analyzes the unstable propagation of a stress-induced phase transition which is initiated in a homogeneous stress field. This Stephen problem is formulated as an initial-value problem for the phase boundary, and the driving force of the boundary is computed by using the solution of the boundary-value problem for a partially transformed material. The propagation of the phase transition under uniform pressure is numerically simulated. It is shown that (1) under lower pressure, the transition is terminated at a certain size, but it can propagate unstably when an initially transformed region is sufficiently large; and (2) when the pressure attains a critical value, the propagation becomes unstable, and goes in a particular direction depending on the initial shape. These results confirm the possibility of the unstable propagation of phase transition, and provide a theoretical basis for the hypothesis that the phase transition of a mantle material can trigger a deep earthquake.

KW - Phase transition

KW - Stephen problem

KW - Thermodynamics

KW - Unstable propagation

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U2 - 10.1016/0167-6636(95)00016-X

DO - 10.1016/0167-6636(95)00016-X

M3 - Article

AN - SCOPUS:0029408683

VL - 21

SP - 313

EP - 323

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

IS - 4

ER -