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Publication Detail
A multi-scale finite element approach for the random mechanical response of honeycomb-cored structures
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  • Authors:
    Saavedra Flores EI, DiazDelaO FA, Friswell MI, Sienz J
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    Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
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This paper studies the uncertainty in the mechanical response of foam-filled honeycomb cores by means of a computational multi-scale approach. A finite element framework is adopted to determine the response of a periodic arrangement of aluminum honeycomb core filled with PVC foam. By considering uncertainty in the geometric properties of the microstructure, a significant computational cost is added to the solution of a large set of microscopic equilibrium problems. In order to tackle this high cost, we combine two strategies. Firstly, we make use of symmetry conditions present in a representative volume element of material. Secondly, we build a statistical approximation to the output of the computer model, known as a Gaussian process emulator. Following this double approach, we are able to reduce the cost of performing uncertainty analysis of the mechanical response. In particular, we are able to estimate the 5-th, 50-th, and 95-th percentile of the mechanical response without resorting to more computationally expensive methods such as Monte Carlo simulation. ©2012 AIAA.
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