Abstract
AbstractThermodynamic modeling of the development of non-spherical inclusions as precipitates in alloys is an important topic in computational materials science. The precipitates may have markedly different properties compared to the matrix. Both the elastic contrast and the misfit eigenstrain may yield a remarkable generation of elastic strain energy which immediately influences the kinetics of the developing precipitates. The relevant thermodynamic framework has been mostly based on spherical precipitates. However, the shapes of actual particles are often not spherical. The energetics of such precipitates can be met by adapting the spherical energy terms with shape factors. The well-established Eshelby framework is used to evaluate the elastic strain energy of inclusions with ellipsoidal shapes (described by the axes a, b, and c) that are subjected to a volumetric transformation strain. The outcome of the study is two shape factors, one for the elastic strain energy and the other for the interface energy. Both quantities are provided in the form of easy-to-use diagrams. Furthermore, threshold elastic contrasts yielding strain energy shape factors with the value 1.0 for any ellipsoidal shape are studied.
Funder
österreichische forschungsförderungsgesellschaft
bundesministerium für verkehr, innovation und technologie
austrian federal ministry of economy, family and youth
steirische wirtschaftsförderungsgesellschaft
Montanuniversität Leoben
Publisher
Springer Science and Business Media LLC
Reference16 articles.
1. Böhm, H.J., Zickler, G.A., Fischer, F.D., Svoboda, J.: Role of elastic strain energy in spheroidal precipitates revisited. Mech. Mater. 155, 103781 (2021)
2. Balluffi, R.W., Allen, S.M., Cater, W.C.: Kinetics of Materials. Wiley, Hoboken (2005)
3. Amstutz, H., Vormwald, M.: Elastic spherical inhomogeneity in an infinite elastic solid: an exact analysis by an engineering treatment of the problem based on the corresponding cavity solution. Arch. Appl. Mech. 91, 1577–1603 (2021)
4. Svoboda, J., Fischer, F.D., Fratzl, P., Kozeschnik, E.: Modelling of kinetics in multi-component multi-phase systems with spherical precipitates I. – Theory. Mat. Sci. Eng. A 385, 166–174 (2004)
5. Kozeschnik, E., Svoboda, J., Fratzl, P., Fischer, F.D.: Modelling of kinetics in multi-component multi-phase multi-particle systems with spherical precipitates II. – Numerical solution and application. Mat. Sci. Eng. A 385, 157–165 (2004)
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