Modeling of fatigue crack in particle reinforced composites with Voronoi cell finite element method

Guo, Ran; Zhang, Wenyan; Tan, Tao; Qu, Benning

doi:10.1016/j.proeng.2012.01.1026

Cited by 5 publications

(3 citation statements)

References 6 publications

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“…Later, Sze and Sheng [8] included other characteristic features to the VCFEM by incorporating the electromechanical Hellinger-Reissner principle. Since then, the VCFEM has been revisited, extended, and implemented in different applications such as in analysis of heterogeneous materials [5,9,10], determination of the effective elastic properties/crack analysis of functionally graded materials [11,12], analysis of microstructural Representative Volume Element (RVE) [13], simulation of the crack and analysis/failure analysis of composite materials [7,[14][15][16][17][18][19], and multiscale simulations for microstructural modelling [9]. The method is also extended to 3D [14,20,21].…”

Section: Voronoi Cell Finite Element Methods (Vcfem)mentioning

confidence: 99%

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A Brief Review on Polygonal/Polyhedral Finite Element Methods

Perumal

2018

Mathematical Problems in Engineering

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This paper provides brief review on polygonal/polyhedral finite elements. Various techniques, together with their advantages and disadvantages, are listed. A comparison of various techniques with the recently proposed Virtual Node Polyhedral Element (VPHE) is also provided. This review would help the readers to understand the various techniques used in formation of polygonal/polyhedral finite elements.

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Section: Voronoi Cell Finite Element Methods (Vcfem)mentioning

confidence: 99%

“…For example, consider a heat conduction phenomenon which is governed by the following governing equation (19) [100]:…”

Section: Mimetic Finite Difference (Mfd) Methods and Virtualmentioning

confidence: 99%

A Brief Review on Polygonal/Polyhedral Finite Element Methods

Perumal

2018

Mathematical Problems in Engineering

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“…18–22 VCFEM has been adopted by many researchers to determine Young’s modulus and Poisson’s ratio of functionally graded materials, 23 mechanical behaviour of alumina/zirconia graded ceramic composites 24 and thermoelastic behaviour of bi-material and functionally graded materials. 25 VCFEM technique has also been used in modelling fatigue crack initiation and propagation in particle-reinforced metal–matrix composites, 26 effect of interfacial cracks in functionally graded materials, 27 etc.…”

Section: Introductionmentioning

confidence: 99%

Modelling the mechanical behaviour of heat-treated AISI 52100 bearing steel with retained austenite

Anoop

Sekhar

Kamaraj

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part L:

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The mechanical properties of hardened AISI 52100 bearing steel such as flexural strength, microhardness and Young's modulus are considerably influenced by the austenite content retained in the microstructure. A microstructure-sensitive finite element simulation approach is presented which considers the effect of retained austenite to estimate the mechanical properties. The austenite grain size is derived as a function of austenitising temperature and holding time using a modified Arrhenius type equation. The simulation strategy involves division of the two-dimensional domain using triangular elements such that a group of six neighbouring triangular elements represented a hexagonal grain of calculated size. Material inhomogeneity is introduced by enforcing austenite properties to a fraction of the elements equal to the volume percent of retained austenite in the steel. The predictions from the simulation approach for 8% and 20% retained austenite volume fractions matched well with earlier experimental results.

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