Uncertainty quantification of effective mechanical characteristics of hexagonal cellular material

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2025-01-06 DOI:10.1016/j.mechrescom.2025.104368

Safdar Iqbal , Marcin Kamiński , S.M. Seyed Ardakani

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Abstract

This study is devoted to the development of effective mechanical properties for some specific cellular materials with hexagonal structures exhibiting uncertain imperfections in their internal geometry. Analytical formulas for the first four probabilistic moments and relative entropies are developed for the effective Young modulus and yield strength. A numerical simulation is presented to show a comparison of these formulas with the results obtained via the Monte-Carlo simulation and the generalized stochastic perturbation technique. Three different entropy measures proposed by Bhattacharyya, Kullback-Leibler, and Hellinger are used to quantify probability distributions of these two characteristics for the cellular material skeleton and the corresponding effective parameters of the entire structure. This methodology can be applied to a wide range of cellular materials, in which analytical formulas can be developed, and for case studies where the Finite Element Method (FEM) is used to determine the effective characteristics of such materials.

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.