Modeling of inclusions with interphases in heterogeneous material using the infinite element method

Liu, D.S.; Chiou, D. Y.

doi:10.1016/j.commatsci.2004.05.002

Cited by 12 publications

(5 citation statements)

References 17 publications

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“…Liu and Chiou [21][22][23] utilized IEM formulations to solve a variety of elasticity and singularity problems. In addition, the authors proposed a convergence criterion for the IEM formulation which extended the imaginary "infinity layer" concept to practical applications and ensured the convergence of the overall IE stiffness matrix.…”

Section: Introductionmentioning

confidence: 99%

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

2013

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A Plate Infinite Element Method (PIEM) formulation based on Reissner-Mindlin theory is proposed for the stress analysis of cracked plates under bending and tension. The validity of the proposed formulation is demonstrated by comparing the results obtained for the normalized Stress Intensity Factor (SIF) under various loading conditions with the solutions presented in the literature. Importantly, the proposed formulation enables the effects of different crack lengths to be analyzed without the need to re-mesh the computational domain for each simulation/analysis. Overall, the PIEM formulation provides an accurate and computationally-efficient means of analyzing a wide variety of plate bending problems.

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Section: Introductionmentioning

confidence: 99%

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

2013

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“…A widely recognized observation is that the effective behavior of a matrix-inclusion composites depends on the coating shells (interface or chemical reaction layer). Over several decades, determining the thermal gradient and flux fields in the layers has become a interesting subject for numerous theoretical [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Effective medium approximation for conductivity of coated-inclusion composites with anisotropic coating

2019

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Effective medium approximations are developed to estimate the macroscopic conductivity of coated-inclusion composites with thin anisotropic coating. The two-phase coated-inclusion are substituted by equivalent one-phase inclusion, using the multi-coated spheres assemblage and the differential substitution approaches. Then, the usual effective medium approximation schemes are applied to the equivalent medium to estimate the conductivity of original three-phase composites. The results obtained were compared with the numerical simulation by finite element method in 2D show the effectiveness of the methods.

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“…Considerable efforts have been made to determine the elastic properties of nanocomposites using finite element modeling (FEM) (Alexander and Tzeng 1997;Robertson et al 1992;Lu 1997a, b). A method for investigating the mechanical response of heterogeneous materials with embedded circular inclusions was demonstrated by Liu and Chiou (2004). The effects of varying the elastic modulus and thickness of the interphase and its effective modulus were analyzed using the commercial software ABAQUS.…”

Section: Introductionmentioning

confidence: 99%

Finite element and micromechanical modeling for investigating effective material properties of polymer–matrix nanocomposites with microfiber, reinforced by CNT arrays

Tahouneh

Mashhadi

Naei

2016

Int J Adv Struct Eng

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This paper is motivated by the lack of studies to investigate the effect of fiber reinforced CNT arrays on the material properties of nanocomposites. To make a comprehensive study, this research work is conducted in two ways. Firstly, the effect of microfiber as reinforcement on the effective material properties is investigated; secondly, the study is carried on as the microfibers reinforced by CNT arrays. In both above-mentioned approaches, the results are compared to the results of generalized mixture rule which is known as a widely used micro-mechanical model. The representative volume element (RVE) is considered as a well-known method to investigate the effect of adding CNT arrays on the skin of microfibers. The results show that Generalized Mixture Rule cannot properly predict the effects of changing the length and diameter of nanotubes on the effective properties of nanocomposites. The main objective of this research work is to determine the effects of increasing nanotubes on the elastic properties which are achieved using two aforementioned methods including FE and rule of mixture. It is also absorbed; effective properties of RVE can be improved by increasing the volume fraction, length and decreasing CNT arrays diameter. Keywords CNT arrays Á Finite element and micromechanical modeling Á Nanocomposites Á Fiber reinforcement Á Generalized mixture rule (GMR) Á Representative volume element (RVE)

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Modeling of inclusions with interphases in heterogeneous material using the infinite element method

Cited by 12 publications

References 17 publications

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

Development of Plate Infinite Element Method for Stress Analysis of Elastic Bodies with Singularities

Effective medium approximation for conductivity of coated-inclusion composites with anisotropic coating

Finite element and micromechanical modeling for investigating effective material properties of polymer–matrix nanocomposites with microfiber, reinforced by CNT arrays

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