A new analytical model for thermal stresses in multi-phase materials and lifetime prediction methods |
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Authors: | Ladislav Ceniga |
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Institution: | (1) Institute of Materials Research, Slovak Academy of Sciences, Watsonova 47, 04353 Košice, Slovak Republic |
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Abstract: | Based on the fundamental equations of the mechanics of solid continuum, the paper employs an analytical model for determination
of elastic thermal stresses in isotropic continuum represented by periodically distributed spherical particles with different
distributions in an infinite matrix, imaginarily divided into identical cells with dimensions equal to inter-particle distances,
containing a central spherical particle with or without a spherical envelope on the particle surface. Consequently, the multi-particle-(envelope)-matrix
system, as a model system regarding the analytical modelling, is applicable to four types of multi-phase materials. As functions
of the particle volume fraction v, the inter-particle distances d
1, d
2, d
3 along three mutually perpendicular axes, and the particle and envelope radii, R
1 and R
2, respectively, the thermal stresses within the cell, are originated during a cooling process as a consequence of the difference
in thermal expansion coefficients of phases represented by the matrix, envelope and particle. Analytical-(experimental)-computational
lifetime prediction methods for multi-phase materials are proposed, which can be used in engineering with appropriate values
of parameters of real multi-phase materials.
The English text was polished by Keren Wang. |
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Keywords: | Thermal stress Multi-phase material Lifetime prediction Analytical modelling |
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