Stochastic strain and stress computation of a higher-order sandwich beam using hybrid stochastic time domain spectral element method

Sharma, H and Mukherjee, S and Ganguli, R (2020) Stochastic strain and stress computation of a higher-order sandwich beam using hybrid stochastic time domain spectral element method. In: Mechanics of Advanced Materials and Structures .

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Abstract

In this work, a combination of the spectral stochastic finite element method (SSFEM) and the time-domain spectral element method (TSEM), referred to as the stochastic time domain spectral element method (STSEM), is presented to compute the stochasticity of strain and stress of a higher-order sandwich composite beam with spatial variability in the material properties. The method proposed in this work employs the efficiencies of both SSFEM and TSEM for the uncertainty analysis of a sandwich beam. The material properties of face sheets and core are considered as Gaussian random fields, which are discretized using the Karhunen-Loéve expansion, and polynomial chaos expansion is used to represent the response quantity. A numerical example is considered for which, first, a sensitivity analysis is performed to identify the most sensitive material properties. Then, the proposed STSEM is used to demonstrate the computational efficiency and numerical accuracy in comparison with Monte-Carlo simulation. Moreover, the effect of core depth on strain and stress variability is also examined. © 2020, © 2020 Taylor & Francis Group, LLC.

Item Type:	Journal Article
Publication:	Mechanics of Advanced Materials and Structures
Publisher:	Taylor and Francis Inc.
Additional Information:	copy right for this article belongs to Taylor and Francis Inc.
Keywords:	Composite beams and girders; Computational efficiency; Efficiency; Gaussian beams; Gaussian distribution; Intelligent systems; Monte Carlo methods; Numerical methods; Sandwich structures; Sensitivity analysis; Stochastic systems; Uncertainty analysis, Gaussian random fields; Numerical accuracy; Polynomial chaos expansion; Sandwich composites; Spatial variability; Spectral element method; Spectral stochastic finite element method; Strain and stress, Time domain analysis
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	21 Oct 2020 07:34
Last Modified:	21 Oct 2020 07:34
URI:	http://eprints.iisc.ac.in/id/eprint/65993

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