Two-scale convergence analysis and numerical simulation for periodic Kirchhoff plates [PDF]
HeliyonHomogenization analysis methods provide a high-efficiency tool to address periodic structures. However, the popular Asymptotic Homogenization Method (AHM) cannot be directly applied to the homogenization of periodic plate structures due to less ...
Zhiwei Huang +3 more
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A Comparative Analysis of AEH (Asymptotic Expansion Homogenization) Results and Experimental Findings of Various Additive Manufactured Lattice Structures [PDF]
한국정밀공학회지, 2023 Recently, the demand for lightweight open-pore lattice structures with specific stiffness is increasing in many fields, such as the aeronautical, automotive, mechanical and bone tissue engineering sectors.
Rigoberto Lopez Reyes +2 more
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Modeling the edge effect in composites based on asymptotic homogenization method [PDF]
E3S Web of Conferences, 2023 The purpose of this work is to develop a numerical algorithm for solving the problem of calculating the stress-strain state of structures made of composite materials, taking into account edge effects.
Dimitrienko Yu., Yurin Yu., Chebakov D.
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Modeling of effective elastic-plastic properties of layered composites with a periodic structure in the framework of the anisotropic flow theory [PDF]
E3S Web of Conferences, 2023 The article is devoted to the development of a method for constructing theoretical strain diagrams. The method is based on the use of a model of effective constitutive relations for approximating the deformation diagrams of layered composites obtained ...
Dimitrienko Yu. +2 more
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Coupled micro-macroscopic modeling of layered composites with finite deformations [PDF]
E3S Web of Conferences, 2023 A coupled micro- and macroscopic modeling of an incompressible layered composite material under finite deformations is performed based on the asymptotic homogenization method and universal semi-linear models.
Dimitrienko Yu. +2 more
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Two-Scale Asymptotic Homogenization Method for Composite Kirchhoff Plates with in-Plane Periodicity
Aerospace, 2022 This paper develops a two-scale asymptotic homogenization method for periodic composite Kirchhoff plates. In this method, a three-dimensional (3D) periodic plate problem is simplified as a Kirchhoff plate problem, which is governed by a fourth-order ...
Zhiwei Huang, Yufeng Xing, Yahe Gao
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Trends in Computational and Applied Mathematics, 2021 The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites,
R. Décio Jr +2 more
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Homogenization of a 2D Tidal Dynamics Equation
Mathematics, 2020 This work deals with the homogenization of two dimensions’ tidal equations. We study the asymptotic behavior of the sequence of the solutions using the sigma-convergence method.
Giuseppe Cardone +2 more
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Composites Part C: Open Access, 2022 A reliable way to determine the effective properties of heterogeneous media plays an important role in engineering design. As an experimental test to obtain effective properties may be tedious and expensive to perform, and as computational approaches ...
Bruno Guilherme Christoff +3 more
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Homogenization of a Continuously Microperiodic Multidimensional Medium
Trends in Computational and Applied Mathematics, 2018 The asymptotic homogenization method is applied to obtain formal asymptotic solution and the homogenized solution of a Dirichlet boundary-value problem for an elliptic equation with rapidly os- cillating coefficients.
Marcos Pinheiro Lima +2 more
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