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Title: On the role of the transformation eigenstrain in the growth or shrinkage of spheroidal isotropic precipitations

Abstract

The jumps of the strain and stress tensors on the surface of elastic homogeneous or inhomogeneous ellipsoidal inclusions embedded in an elastic matrix are obtained from results reported in the literature. They are used to derive closed-form expressions for the thermodynamic force in such matrix-inclusion systems that are subjected to a generally defined homogeneous transformation eigenstrain. A detailed study is presented for an isotropic spheroidal inclusion in an isotropic matrix in which the most important parameters are the inclusion's aspect ratio {alpha} and an eigenstrain triaxiality parameter d-bar. The fluctuations of the thermodynamic force are investigated for a set of specific transformation eigenstrain tensors and are presented for inclusion shapes ranging from disk-like to fiber-like spheroids.

Authors:
 [1];  [2]
  1. Institute of Mechanics, Montanuniversitaet Leoben, Franz-Josef-Strasse 18, A-8700 Leoben (Austria) and Erich Schmid Institute for Materials Science, Austrian Academy of Sciences, Jahnstrasse 12, A-8700 Leoben (Austria). E-mail: mechanik@unileoben.ac.at
  2. Christian Doppler Laboratory of Functionally Oriented Materials Design at the Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Gusshausstrasse 27-29, A-1040 Vienna (Austria)
Publication Date:
OSTI Identifier:
20637121
Resource Type:
Journal Article
Resource Relation:
Journal Name: Acta Materialia; Journal Volume: 53; Journal Issue: 2; Other Information: DOI: 10.1016/j.actamat.2004.09.032; PII: S1359-6454(04)00574-9; Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ASPECT RATIO; FLUCTUATIONS; INCLUSIONS; PRECIPITATION; SHRINKAGE; SIMULATION; STRESSES; TENSORS; THERMODYNAMICS; TRANSFORMATIONS

Citation Formats

Fischer, F.D., and Boehm, H.J. On the role of the transformation eigenstrain in the growth or shrinkage of spheroidal isotropic precipitations. United States: N. p., 2005. Web. doi:10.1016/j.actamat.2004.09.032.
Fischer, F.D., & Boehm, H.J. On the role of the transformation eigenstrain in the growth or shrinkage of spheroidal isotropic precipitations. United States. doi:10.1016/j.actamat.2004.09.032.
Fischer, F.D., and Boehm, H.J. Mon . "On the role of the transformation eigenstrain in the growth or shrinkage of spheroidal isotropic precipitations". United States. doi:10.1016/j.actamat.2004.09.032.
@article{osti_20637121,
title = {On the role of the transformation eigenstrain in the growth or shrinkage of spheroidal isotropic precipitations},
author = {Fischer, F.D. and Boehm, H.J.},
abstractNote = {The jumps of the strain and stress tensors on the surface of elastic homogeneous or inhomogeneous ellipsoidal inclusions embedded in an elastic matrix are obtained from results reported in the literature. They are used to derive closed-form expressions for the thermodynamic force in such matrix-inclusion systems that are subjected to a generally defined homogeneous transformation eigenstrain. A detailed study is presented for an isotropic spheroidal inclusion in an isotropic matrix in which the most important parameters are the inclusion's aspect ratio {alpha} and an eigenstrain triaxiality parameter d-bar. The fluctuations of the thermodynamic force are investigated for a set of specific transformation eigenstrain tensors and are presented for inclusion shapes ranging from disk-like to fiber-like spheroids.},
doi = {10.1016/j.actamat.2004.09.032},
journal = {Acta Materialia},
number = 2,
volume = 53,
place = {United States},
year = {Mon Jan 10 00:00:00 EST 2005},
month = {Mon Jan 10 00:00:00 EST 2005}
}