Three-dimensional analysis of creep in a metal matrix composite

Sørensen, N.J.; Needleman, A.; Tvergaard, Viggo

doi:10.1016/0921-5093(92)90001-h

Cited by 25 publications

(4 citation statements)

References 21 publications

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“…Applying Eqs. (32)- (33) to the rectangular regions bounded by dashed lines (Fig. 15), we obtain for the case of stress derivatives corresponding to, e.g., node k…”

Section: Finite-difference Numerical Proceduresmentioning

confidence: 98%

Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

Балохонов

Романова

2020

Springer Tracts in Mechanical Engineering

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A multiscale analysis is performed to investigate deformation and fracture in the aluminum-alumina composite and steel with a boride coating as an example. Model microstructure of the composite materials with irregular geometry of the matrix-particle and substrate-coating interfaces correspondent to the experimentally observed microstructure is taken into account explicitly as initial conditions of the boundary value problem that allows introducing multiple spatial scales. The problem in a plane strain formulation is solved numerically by the finite-difference method. Physically-based constitutive models are developed to describe isotropic strain hardening, strain rate and temperature effects, Luders band propagation and jerky flow, and fracture. Local regions experiencing bulk tension are found to occur during compression that control cracking of composites. Interrelated plastic strain localization in the steel substrate and aluminum matrix and crack origination and growth in the ceramic coating and particles are shown to depend on the strain rate, particle size and arrangement, as well as on the loading direction: tension or compression.

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“…Applying Eqs. (32)- (33) to the rectangular regions bounded by dashed lines (Fig. 15), we obtain for the case of stress derivatives corresponding to, e.g., node k…”

Section: Finite-difference Numerical Proceduresmentioning

confidence: 98%

Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

Балохонов

Романова

2020

Springer Tracts in Mechanical Engineering

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“…Therefore, modelling the arranged short fibre reinforced material has reached a high level of development. The approach using three-dimensional discrete micromodels of nonaligned fibre-reinforced composites has been applied to evaluate the creep response of arrangements of alternatingly tilted inclusions [56]. Meanwhile, multi-inclusion unit cell models and related approaches relying on boundary element methods are used to study the elastic behaviour of materials containing nonaligned reinforcements [57,58].…”

Section: Development Of Vumat Subroutine For Mulliken-boyce Modelmentioning

confidence: 99%

Finite element modelling of micromachining process for epoxy/graphene nanoplatelet nanocomposites

Wang

Sun

et al. 2022

Journal of Manufacturing Processes

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“…Full three-dimensional (3D) cell model analyses have recently been used by Tvergaard [14,15] to study ductile matrix failure around short fibres in cases where either the fibre spacings in the transverse directions are non-uniform or the transverse principal macroscopic stresses differ, so that an axisymmetric model cannot adequately represent the composite. These were an extension of previous 3D analyses for metal matrix composites [16][17][18], where no damage was accounted for. For some cases where axisymmetric conditions apply, it was found that the predictions in [7] are in good agreement with the initial parts of the corresponding curves in [14], but the 3D computations were continued much further, to reach stages where regions of final void coalescence have developed.…”

Section: Introductionmentioning

confidence: 97%

Three-dimensional analyses of ductile failure in metal reinforced by staggered fibres

Tvergaard

2001

Modelling Simul. Mater. Sci. Eng.

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Ductile matrix failure in a metal reinforced by short parallel fibres is studied numerically in terms of full three-dimensional cell model analyses. The model is extended here, relative to the simplest possible cell, such that transversely staggered fibres are accounted for and such that effects of different sizes of two neighbouring fibres can be studied. The matrix material is described in terms of a porous ductile material model, which accounts for the nucleation and growth of voids to coalescence. Most predictions are based on an isotropic hardening model, but results for kinematic hardening are used to study the effect of a metal that forms a rounded vertex on the yield surface. The damage evolution tends to first show the formation of an open crack near the ends of the longer fibres, by void coalescence in the matrix, and subsequently a similar crack evolves near the ends of the shorter fibres.

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Three-dimensional analysis of creep in a metal matrix composite

Cited by 25 publications

References 21 publications

Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

Finite element modelling of micromachining process for epoxy/graphene nanoplatelet nanocomposites

Three-dimensional analyses of ductile failure in metal reinforced by staggered fibres

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