On the unstable propagation of a phase transition in a solid

Muneo Hori, Toshihiro Kameda, Kenji Oguni

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)313-323
Number of pages11
JournalMechanics of Materials
Volume21
Issue number4
DOIs
Publication statusPublished - 1995
Externally publishedYes

Fingerprint

Phase transitions
propagation
Earthquakes
boundary value problems
earthquakes
Initial value problems
Phase boundaries
Boundary value problems
stress distribution
Earth mantle
low pressure
actuators

Keywords

  • Phase transition
  • Stephen problem
  • Thermodynamics
  • Unstable propagation

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Instrumentation

Cite this

On the unstable propagation of a phase transition in a solid. / Hori, Muneo; Kameda, Toshihiro; Oguni, Kenji.

In: Mechanics of Materials, Vol. 21, No. 4, 1995, p. 313-323.

Research output: Contribution to journalArticle

Hori, Muneo ; Kameda, Toshihiro ; Oguni, Kenji. / On the unstable propagation of a phase transition in a solid. In: Mechanics of Materials. 1995 ; Vol. 21, No. 4. pp. 313-323.
@article{d960ef82c2a9463196fd3cb6819406fd,
title = "On the unstable propagation of a phase transition in a solid",
abstract = "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.",
keywords = "Phase transition, Stephen problem, Thermodynamics, Unstable propagation",
author = "Muneo Hori and Toshihiro Kameda and Kenji Oguni",
year = "1995",
doi = "10.1016/0167-6636(95)00016-X",
language = "English",
volume = "21",
pages = "313--323",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",
number = "4",

}

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

Y1 - 1995

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

UR - http://www.scopus.com/inward/record.url?scp=0029408683&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029408683&partnerID=8YFLogxK

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 -