2020
DOI: 10.1002/zamm.202000240
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Stochastic stability of performance properties for materials with non‐deterministic microstructure

Abstract: In this contribution an original concept of stochastic stability (P‐stability), formulated here to represent realistic stochastic nature of materials, is employed for stability analysis of material performance characteristics. Stochasticity in materials can be related, for example, to manufacturing processes, potential treatment of material, or properties of raw materials. On the other hand, performance characteristics, obtained through the novel fuzzy sets based multi‐scale methodology, are also of stochastic… Show more

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Cited by 3 publications
(3 citation statements)
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“…Periodic boundary conditions on this RVE are assumed, and the finite element model is solved by using the FFT-based approach. Due to the periodicity assumption and its efficiency in representing the material with its structure while generating the RVE, the size and content of the RVE should be chosen conscientiously. This approach is computationally more reasonable compared to conventional finite element models; however, it is still more costly than Mori–Tanaka.…”
Section: Materials and Methodsmentioning
confidence: 99%
“…Periodic boundary conditions on this RVE are assumed, and the finite element model is solved by using the FFT-based approach. Due to the periodicity assumption and its efficiency in representing the material with its structure while generating the RVE, the size and content of the RVE should be chosen conscientiously. This approach is computationally more reasonable compared to conventional finite element models; however, it is still more costly than Mori–Tanaka.…”
Section: Materials and Methodsmentioning
confidence: 99%
“…The model has shown robust performance even for low numbers of datapoints, such as the eight observations case (the leftmost point in Figure 6), with the maximum error remaining below 8%. This agrees with the findings presented by Gitman et al (27), which show that the fuzzy methodology does not need large sizes of data to obtain accurate results.…”
Section: Analysis Of Training Data Size Impactmentioning
confidence: 99%
“…Note, however, that the manufacturing angle θp and infill density are independent variables that can be changed individually; contrary to that, the size of manufacturing voids (see Figure 6) depends on the infill density as void sizes will decrease if more internal space are infilled (higher infill density). Therefore, in order to demonstrate the performance of the FIS with multiple interconnected input parameters, 27 the effective size of manufacturing voids, dv, was included in the research. It was measured by using an optical microscope 19 .…”
Section: Fis For 3d‐printed Plain Specimensmentioning
confidence: 99%