Deformation, Stress State, and Thermodynamic Force for a Transforming Spherical Inclusion in an Elastic-Plastic Material

Author:

Fischer F. D.1,Oberaigner E. R.1

Affiliation:

1. Institute for Mechanics Montanuniversitat Leoben, A-8700 Leoben, Austria

Abstract

The progress of a transformed phase into an elastic-plastic parent phase is simulated by a growing sphere. The transformation is accompanied by a dilatational volume change. The strain and stress state in the full space is presented. In addition, the local and global energy terms are calculated. Finally the thermodynamic forces on the interface are derived. Also strain hardening is considered. [S0021-8936(00)00304-4]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference17 articles.

1. Roitburd, A. L., and Temkin, D. E., 1986, “Plastic Deformation and Thermodynamic Hysteresis in Phase Transformation in Solids,” Sov. Phys. Solid State, 28, pp. 432–436.

2. Roitburd, A. L., and Temkin, D. E., 1986, “Hysteresis of a Phase Transformation in an Elastoplastic Medium,” Sov. Phys. Dokl., 31, pp. 414–416.

3. Kaganova, I. M., and Roitburd, A. L., 1989, “Effect of Plastic Deformation on the Equilibrium Shape of a New-Phase Inclusion and Thermodynamic Hysteresis,” Sov. Phys. Solid State, 31, pp. 545–550.

4. Nazyrov, I. R., and Freidin, A. B., 1998, “Phase Transformations in Deformation of Solids in a Model Problem of an Elastic Ball,” Mech. Solids, 33, pp. 39–56

5. Izevestiya AN.MTT, 5, pp. 52–71.

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