In this paper, the dynamic effect was incorporated into the initiation and propagation process of a transformation inclusion. Based on the time-varying propagation equation of a spherical transformation inclusion with pure dilatational eigenstrain, the dynamic elastic fields both inside and outside the inclusion were derived explicitly, and it is found that when the transformation region expands at a constant speed, the strain field inside the inclusion is time-independent and uniform for uniform eigenstrain. Following the basic ideas of crack propagation problems in dynamic fracture mechanics, the reduction rate of the mechanical part of the free energy accompanying the growth of the transformation inclusion was derived as the driving force for the move of the interface. Then the equation to determine the propagation speed was established. It is found that there exists a steady speed for the growth of the transformation inclusion when time is approaching infinity. Finally the relation between the steady speed and the applied hydrostatic stress was derived explicitly.

1.
Eshelby, J. D., 1970, “Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics,” Inelastic Behavior of Solids, M. F. Kanninen, W. F. Adler, A. R. Rosenfield, and R. I. Jaffee, eds., McGraw-Hill, New York, pp. 77–115.
2.
Fischer
F. D.
,
Sun
Q. P.
, and
Tanaka
T.
,
1996
, “
Transformation-Induced Plasticity
,”
ASME Applied Mechanics Reviews
, Vol.
49
, pp.
317
364
.
3.
Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press, London.
4.
Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, 4th Ed., Dover, New York.
5.
Meyers
M. A.
,
1980
, “
On the Growth of Lenticular Martensite
,”
Acta Metallurgica
, Vol.
28
, pp.
757
770
.
6.
Mikata, Y., and Nemat-Nasser, S., 1988, “First-Order Dynamic Eshelby Tensor,” Proceedings of 25th Annual Technical Meeting Society of Engineering Science, CA.
7.
Mura, T., 1987, Micromechanics of Defects in Solids, 2nd Rev. Ed., Martinus Nijhoff, Dordrecht, The Netherlands.
8.
Sano
Y.
,
Chang
S. N.
,
Meyers
M. A.
, and
Nemat-Nasser
S.
,
1992
, “
Identification of Stress-Induced Nucleation Sites for Martensite in Fe-31.8 wt% Ni-0.02 wt% C Alloy
,”
Acta Metall. Mater.
, Vol.
40
, p.
413
413
.
9.
Silling
S. A.
,
1992
, “
Dynamic Growth of Martensitic Plates in an Elastic Material
,”
Journal of Elasticity
, Vol.
28
, pp.
143
164
.
10.
Sun
Q. P.
, and
Hwang
K. C.
,
1993
, “
Micromechanics Modeling for Constitutive Behavior of Polyerystalline Shape Memory Alloys-I. Derivation of General Relations
,”
J. Mech. Phys. Solids
, Vol.
41
, p.
1
1
.
11.
Sun
Q. P.
, and
Hwang
K. C.
,
1993
, “
Micromechauics Modeling for Constitutive Behavior of Polycrystalline Shape Memory Alloys-II. Study of the Individual Phenomena
,”
J. Mech. Phys. Solids
, Vol.
41
, p.
19
19
.
12.
Stam, G. Th. M., 1994, “A Micromechanical Approach to Transformation Toughening in Ceramics,” Ph.D. thesis, Delft University of Technology.
13.
Wang
B.
,
1997
, “
Some Special Characteristics of Stress-Induced Martensitic Transformations Predicted by a Statistical Model
,”
Acta Mater
., Vol.
45
, No.
4
, pp.
1551
1556
.
14.
Willis
J. R.
,
1965
, “
Dislocations and Inclusions
,”
J. Mech. Phys. Solids
, Vol.
13
, pp.
377
395
.
15.
Yu
Z-H.
, and
Clapp
P. C.
,
1989
, “
Growth Dynamics Study of the Mattensitic Transformation in Fe-30 Pct Ni Alloys: Part I. Quantitative Measurements of Growth Velocity
,”
Metallurgical Transaction A
, Vol.
20
, pp.
1601
1615
.
16.
Yu
Z-H.
, and
Clapp
P. C.
,
1989
, “
Growth Dynamics Study of the Martensitic Transformation in Fe-30 Pct Ni Alloys: Part II Computer Simulation of Martensitic Growth
,”
Metallurgical Transaction A
, Vol.
20
, pp.
1617
1629
.
This content is only available via PDF.
You do not currently have access to this content.