Grain boundaries and elastic properties of aluminum-oxide and stainless-steel-based cermets

Иванов, С. Н.; Хазанов, Е. Н.; Таранов, А. В.; Mikhailova, I. S.; Gropyanov, V. M.; Abramovich, A. A.

doi:10.1134/1.1365990

Cited by 6 publications

(4 citation statements)

References 2 publications

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“…To work with reasonable values we set the parameters E and ν to those of Aluminum oxide (Al 2 O 3 ) ceramics. The elastic material properties can be found in [18]. The Weibull modulus m is measured in tensile tests [4,22].…”

Section: Validation With Finite Differencesmentioning

confidence: 99%

Numerical shape optimization to decrease failure probability of ceramic structures

Bolten

Gottschalk

Hahn

et al. 2019

Comput. Visual Sci.

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Ceramic is a material frequently used in industry because of its favorable properties. Common approaches in shape optimization for ceramic structures aim to minimize the tensile stress acting on the component, as it is the main driver for failure. In contrast to this, we follow a more natural approach by minimizing the component's probability of failure under a given tensile load. Since the fundamental work of Weibull, the probabilistic description of the strength of ceramics is standard and has been widely applied. Here, for the first time, the resulting failure probabilities are used as objective functions in PDE constrained shape optimization.To minimize the probability of failure, we choose a gradient based method combined with a first discretize then optimize approach. For discretization finite elements are used. Using the Lagrangian formalism, the shape gradient via the adjoint equation is calculated at low computational cost. * {bolten@math.,hanno.gottschalk@,chahn@,saadi@}uni-wuppertal.de arXiv:1705.05776v1 [math.OC] 16 May 2017 2 BOLTEN, GOTTSCHALK, HAHN AND SAADIThe implementation is verified by comparison of it with a finite difference method applied to a minimal 2d example. Furthermore, we construct shape flows towards an optimal / improved shape in the case of a simple beam and a bended joint.

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Section: Validation With Finite Differencesmentioning

confidence: 99%

Numerical shape optimization to decrease failure probability of ceramic structures

Bolten

Gottschalk

Hahn

et al. 2019

Comput. Visual Sci.

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show abstract

“…The last column also indicates the elastic moduli of aluminum oxide for comparison. 21 The Poisson's ratio, defined as the ratio of transverse contraction to longitudinal elongation under tensile stress, is found to be 0.175 and 0.221 from Berkovich and conical indenters, respectively, using t ¼ Às 12 /s 11 . Within experimental errors, t obtained from ultrasonic measurements carried out on the nanostructured polycrystalline isotropic specimen is 0.252.…”

Section: Resultsmentioning

confidence: 99%

Elastic constants determined by nanoindentation for p-type thermoelectric half-Heusler

Gahlawat

Chen

et al. 2014

Journal of Applied Physics

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Electronic structure and thermoelectric properties of half-Heusler Zr0.5Hf0.5NiSn by first-principles calculations Enhanced thermoelectric properties in CoSb 3 -x Te x alloys prepared by mechanical alloying and spark plasma sintering This paper presents a study of the elastic properties of the p-type thermoelectric half-Heusler material, Hf 0.44 Zr 0.44 Ti 0.12 CoSb 0.8 Sn 0.2 , using nanoindentation. Large grain-sized polycrystalline specimens were fabricated for these measurements, providing sufficient indentation targets within single grains. Electron Backscatter Diffraction methods indexed the target grains for the correlation needed for our elastic analysis of individual single crystals for this cubic thermoelectric material. Elastic properties, including the Zener ratio and the Poisson ratio, obtained from the elasticity tensor are also reported. V C 2014 AIP Publishing LLC. [http://dx.

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“…Within this model, the role of the impurity iron, which, in our opinion, is located at the grain boundaries, still remains unclear. In this respect, mention should be made of the paper by Ivanov et al [4] and earlier publications, in which the structure of these boundaries is assumed to exert a substantial influence on the heat transfer of nonequilibrium phonons at low temperatures. Moreover, it was found that the nanocomposite under investigation contains the paramagnetic spinel phase, which is explained by the addition of iron.…”

Section: Resultsmentioning

confidence: 99%

“…(a) AFM image of the structure of the Al 2 O 3 + Fe nanocomposite and (b) SEM image of the structure of the corundum ceramic material studied in[4].…”

mentioning

confidence: 99%

Influence of the Structure on the Thermal Conductivity of the Al2O3 + Fe Nanocomposite

et al. 2005

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Grain boundaries and elastic properties of aluminum-oxide and stainless-steel-based cermets

Cited by 6 publications

References 2 publications

Numerical shape optimization to decrease failure probability of ceramic structures

Numerical shape optimization to decrease failure probability of ceramic structures

Elastic constants determined by nanoindentation for p-type thermoelectric half-Heusler

Influence of the Structure on the Thermal Conductivity of the Al2O3 + Fe Nanocomposite

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