FEM formulation of homogenization method for effective properties of periodic heterogeneous beam and size effect of basic cell in thickness direction

Yi, Sinan; Xu, Liang; Cheng, Gengdong; Cai, Yuanwu

doi:10.1016/j.compstruc.2015.04.010

Cited by 59 publications

(18 citation statements)

References 38 publications

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“…Thus, the volume fractions of the Ni and 8YSZ can be expressed as Equations (13) and (14) and are constrained in Equations (15) and (16).…”

Section: Asymptotic Homogenization Methods For Periodic Composite Mamentioning

confidence: 99%

“…Cheng et al 12 implemented the AH in ANSYS to predict the effective elastic modulus of periodic materials. This method has been extended to calculate the effective elastic constant of periodic plate structures 13,14 and periodic heterogeneous beams 15,16 . Liu et al 17 implemented the AH in ANSYS to predict the effective CTE of periodic composite materials.…”

Section: Introductionmentioning

confidence: 99%

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Topology optimization of microstructure of solid‐oxide fuel cell anode to minimize thermal mismatch

Yong

Chai

et al. 2020

Int J Energy Res

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Summary Thermomechanical reliability and lifetime of solid‐oxide fuel cells are significantly influenced by thermal mismatch between anode and electrolyte layers. This study presents a numerical analysis of topology optimization of the microstructure of Ni–8YSZ anode to minimize the thermal mismatch of the components. We obtain two 2D microstructures by taking minimum thermal mismatch as object function. The 3D microstructures become fibrous and orthogonal by stretching the 2D microstructures. Results show that the coefficients of thermal expansion of microstructures in the plane parallel to the electrolyte layer are almost equal to those of electrolytes from room temperature to 800°C, which almost completely removes the thermal mismatch. Both microstructures have high three‐phase boundary density, which is almost twice or five times that of a typical anode. Compared with the typical anodes, the microstructures have higher Ni–pore interfacial areas and ion conductivities. Optimization results are helpful in the design of future electrodes.

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“…Thus, the volume fractions of the Ni and 8YSZ can be expressed as Equations (13) and (14) and are constrained in Equations (15) and (16).…”

Section: Asymptotic Homogenization Methods For Periodic Composite Mamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topology optimization of microstructure of solid‐oxide fuel cell anode to minimize thermal mismatch

Yong

Chai

et al. 2020

Int J Energy Res

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show abstract

“…In fact, the effective stiffness for the classical beam model in general should be represented by a fully populated 4 × 4 matrix. This example is also studied in [Yi et al 2015] using a novel finite implementation of the asymptotic homogenization theory applied to beams. The effective bending stiffnesses predicted by the analytical formulas in [Dai and Zhang 2008], those of [Yi et al 2015] denoted as NIAH standing for Novel Implementation of Asymptotic Homogenization, and SwiftComp are listed in Table 2.…”

Section: 1mentioning

confidence: 99%

A unified theory for constitutive modeling of composites

2016

J. Mech. Mater. Struct.

122

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A unified theory for multiscale constitutive modeling of composites is developed using the concept of structure genomes. Generalized from the concept of the representative volume element, a structure genome is defined as the smallest mathematical building block of a structure. Structure genome mechanics governs the necessary information to bridge the microstructure length scale of composites and the macroscopic length scale of structural analysis and provides a unified theory to construct constitutive models for structures including three-dimensional structures, beams, plates, and shells over multiple length scales. For illustration, this paper is restricted to construct the Euler-Bernoulli beam model, the Kirchhoff-Love plate/shell model, and the Cauchy continuum model for structures made of linear elastic materials. Geometrical nonlinearity is systematically captured for beams, plates/shells, and Cauchy continuum using a unified formulation. A general-purpose computer code called SwiftComp (accessible at https://cdmhub.org/resources/scstandard) implements this unified theory and is used in a few example cases to demonstrate its application.

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Section: Numerical Examplesmentioning

confidence: 99%