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Modeling of void growth on grain boundaries in materials under high-temperature loading

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Within the framework of nonlinear nonequilibrium thermodynamics, we construct a model of void formation at elevated temperatures. On the basis of a linear analysis of the stability of solutions of a formulated boundary-value problem, we estimate a conservative value of the void-formation threshold and conditions for the development of dissipative damage structures. It is shown that, for each level of loading above the threshold, void formation can be characterized by a corresponding average density, in agreement with experimental data. The distribution of concentrations of vacancies and microvoids (and, hence, the sites of macrovoids) depends on the initial conditions only implicitly and is governed by the properties of the dissipative system; this is the principal difference between the model suggested in the present work and traditional theories of creep damage.

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Additional information

Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Published in Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 3, pp. 54–65, May – June, 1994.

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Skrypnyk, I.D., Nykyforchyn, A.H. Modeling of void growth on grain boundaries in materials under high-temperature loading. Mater Sci 30, 316–327 (1995). https://doi.org/10.1007/BF00569683

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  • Experimental Data
  • Elevated Temperature
  • Average Density
  • Damage Structure
  • Linear Analysis