Stochastic analysis of a three phase composite using variational asymptotic based homogenization technique coupled with stochastic reduced order model

Pitchai, P and Harursampath, D and Guruprasad, PJ (2023) Stochastic analysis of a three phase composite using variational asymptotic based homogenization technique coupled with stochastic reduced order model. In: Composite Structures, 316 .

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Abstract

The current work describes a stochastic framework to investigate the static response characteristics of periodic and random fiber arrays of reinforced three-phase composites with aleatory mechanical and thermal constituent properties. These properties were randomly modeled via Gaussian distribution using the statistical quantities of first and second moments. The framework is based on Variational Asymptotic Method (VAM) based homogenization technique coupled with Stochastic Reduced Order Model (SROM). When compared against the framework of VAM coupled with the traditional Monte Carlo Simulation (MCS) method, the computational cost of the SROM model with VAM was significantly less. Good agreement with solutions from traditional MCS combined with VAM was also achieved. To demonstrate applicability of the framework, a multivariate stochastic analysis was performed to determine the effect of fiber arrangements on the randomness of mechanical and thermal properties in a three-phase composite. Additionally, univariate stochastic analysis was performed, and the sensitivity of each constituent parameter corresponding to the stochastic homogenized response variable was investigated using the bivariate correlation and linear regression analysis methods.

Item Type:	Journal Article
Publication:	Composite Structures
Publisher:	Elsevier Ltd
Additional Information:	The copyright of this article belongs to Elsevier Ltd.
Keywords:	Homogenization method; Intelligent systems; Monte Carlo methods; Regression analysis; Stochastic models; Stochastic systems; Homogenization techniques; Reduced order modelling; Reduced-order model; Stochastic analysis; Stochastic homogenization; Stochastic reduced order model; Stochastics; Thermo-mechanical; Three-phase composites; Variational asymptotic methods; Multivariant analysis
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	09 Jun 2023 11:11
Last Modified:	09 Jun 2023 11:11
URI:	https://eprints.iisc.ac.in/id/eprint/81861

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