scholarly journals Rayleigh–Taylor instability in soft elastic layers

2017 ◽  
Vol 375 (2093) ◽  
pp. 20160421 ◽  
Author(s):  
D. Riccobelli ◽  
P. Ciarletta
Keyword(s):  
Dynamic Instability ◽  
Taylor Instability ◽  
Computational Tools ◽  
Soft Systems ◽  
Engineering Sciences ◽  
Rayleigh Taylor Instability ◽  
Elastic Layers ◽  
Nonlinear Elastic ◽  
Selection Of ◽  
Geometric Effects

This work investigates the morphological stability of a soft body composed of two heavy elastic layers attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the selection of different patterns as well as their nonlinear evolution, unveiling the interplay between elastic and geometric effects for their formation. Unlike similar gravity-induced shape transitions in fluids, such as the Rayleigh–Taylor instability, we prove that the nonlinear elastic effects saturate the dynamic instability of the bifurcated solutions, displaying a rich morphological diagram where both digitations and stable wrinkling can emerge. The results of this work provide important guidelines for the design of novel soft systems with tunable shapes, with several applications in engineering sciences. This article is part of the themed issue ‘Patterning through instabilities in complex media: theory and applications.’

scholarly journals Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability

2018 ◽  
Vol 121 ◽  
pp. 234-257 ◽  
Author(s):  
Aditi Chakrabarti ◽  
Serge Mora ◽  
Franck Richard ◽  
Ty Phou ◽  
Jean-Marc Fromental ◽  
...  
Keyword(s):  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Selection Of

scholarly journals A Fuzzy Network DEA Approach to the Selection of Advanced Manufacturing Technology

2021 ◽  
Vol 13 (8) ◽  
pp. 4236
Author(s):  
Tim Lu
Keyword(s):  
Fuzzy Numbers ◽  
Weighted Average ◽  
Careful Consideration ◽  
Performance Criteria ◽  
Advanced Manufacturing ◽  
Weight Restrictions ◽  
Network Dea ◽  
Engineering Sciences ◽  
Fuzzy Network ◽  
Selection Of

The selection of advanced manufacturing technologies (AMTs) is an essential yet complex decision that requires careful consideration of various performance criteria. In real-world applications, there are cases that observations are difficult to measure precisely, observations are represented as linguistic terms, or the data need to be estimated. Since the growth of engineering sciences has been the key reason for the increased utilization of AMTs, this paper develops a fuzzy network data envelopment analysis (DEA) to the selection of AMT alternatives considering multiple decision-makers (DMs) and weight restrictions when the input and output data are represented as fuzzy numbers. By viewing the multiple DMs as a network one, the data provided by each DM can then be taken into account in evaluating the overall performances of AMT alternatives. In the solution process, we obtain the overall and DMs efficiency scores of each AMT alternative at the same time, and a relationship in which the former is a weighted average of the latter is also derived. Since the final evaluation results of AMTs are fuzzy numbers, a ranking procedure is employed to determine the most preferred one. An example is used to illustrate the applicability of the proposed methodology.

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