1995
DOI: 10.1080/01418619508236240
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Interface instabilities of multilayers and flat precipitates

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Cited by 12 publications
(11 citation statements)
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“…Broadly speaking, there are three main thermodynamic driving forces that can affect layering stability at high temperatures: energy of mixing between the layer materials, elastic strain energy, and relative interfacial to grain boundary free energies [4][5][6][7][8][9][10]. Generally, the free energy of the multilayer can be reduced through interdiffusion between layers or morphological evolution to non-planar or discontinuous interfaces.…”
Section: Introductionmentioning
confidence: 99%
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“…Broadly speaking, there are three main thermodynamic driving forces that can affect layering stability at high temperatures: energy of mixing between the layer materials, elastic strain energy, and relative interfacial to grain boundary free energies [4][5][6][7][8][9][10]. Generally, the free energy of the multilayer can be reduced through interdiffusion between layers or morphological evolution to non-planar or discontinuous interfaces.…”
Section: Introductionmentioning
confidence: 99%
“…Considering the above-mentioned driving forces, one possible driving force for morphological instabilities in multilayer systems is the reduction of elastic strain energy, which can arise from numerous sources, including mismatches in lattice constants, thermal expansion coefficients, or elastic constants between the layers [5,10,11]. The main contribution to the elastic stresses in MLCCs arises from the mismatch of densification rates between the ceramic layers and metal electrodes during co-sintering [7,8].…”
Section: Introductionmentioning
confidence: 99%
“…It is worth mentioning that Eqs. (42) and (43) are the general formulae, including two special cases with jd 1 j ¼ jd 2 j of the same phase and the opposite phase as discussed by Sridhar et al (1997b) and Junqua and Grilhé (1995). To analyze the opposite phase, one can add a negative sign to d 2 or d 1 .…”
Section: Deformation Field To the First Order Of Approximationmentioning
confidence: 98%
“…In contrast to the chemical potential used in the literature (Larche and Cahn, 1985;Leo and Sekerka, 1989;Junqua and Grilhé, 1995), the strain energy from the coherence of the interface is included in the calculation of DU F E due to the use of Eqs. (3)-(5).…”
Section: Problem Formulationmentioning
confidence: 99%
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