Constitutive equations for densification of matrix-coated fibre composites during hot isostatic pressing

Carmai, Julaluk; Dunne, Fionn P.E.

doi:10.1016/s0749-6419(01)00056-0

Cited by 15 publications

(6 citation statements)

References 19 publications

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“…Hence, to describe the continuum properties in modeling the compaction process using methods of continuum mechanics, the sintering theory for porous bodies [3,4], creep theory [5,6], and ideal elastoplastic model [7][8][9][10][11][12][13] are employed. These papers mainly consider the compaction of a strand of unidirectional composite fibers under isostatic or uniaxial pressing.…”

Section: Introductionmentioning

confidence: 99%

Modeling the formation of internal boundaries in an unidirectional fiber strand compacted in plastic state

Borovik

2009

Powder Metall Met Ceram

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The formation of internal boundaries in a unidirectional fiber strand during isostatic and uniaxial pressing in plastic state is studied. The process is modeled using the finite-element method (FEM). An ideal contact elastoplastic problem for a hexagonal fiber strand undergoing plane deformation is solved taking into account friction at the boundaries. For angles of 0°, 30°, 60°, and 90° between the normal to the contact area and the pressing direction, the contact area width, change in the contact area slope, and the radius vector of the cross-sectional boundary of the fiber inside the pore channel as functions of density are determined for the friction coefficient at the boundaries of fibers equal to 0 and 0.5.

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Section: Introductionmentioning

confidence: 99%

Modeling the formation of internal boundaries in an unidirectional fiber strand compacted in plastic state

Borovik

2009

Powder Metall Met Ceram

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“…The MCF consolidation model for square array packing which was developed by Carmai (2001) and Carmai and Dunne (2003) has been employed to simulate the same experiment. The predicted results obtained from the square array packing simulation and the hexagonal array packing simulation have been compared with the independent experimental result of Peng et al (2005).…”

Section: Comparisons Of Predicted and Experimental Resultsmentioning

confidence: 99%

“…where εkk is given in equation ( 7) and the coefficient a is the same as that in Crow (1992, 1994). The densification rate has been shown to be dominated by the hydrostatic stress and to be largely independent of the equivalent stress (Carmai 2001). Hence, the pressure P imposed on the repeating cell is just the hydrostatic stress.…”

Section: Generalization Of Constitutive Equations For Multiaxial Stre...mentioning

confidence: 99%

“…Other approaches are unable to provide directly the constitutive equations, since they are micromechanical models which explicitly represent matrix, fibre and void which have to be meshed explicitly within the finite element model. Recently, Carmai (2001) and Carmai and Dunne (2003) developed physically based constitutive equations for MCF composite consolidation. The model so far has only been developed for simple square array packing of coated fibres.…”

Section: Introductionmentioning

confidence: 99%

“…However, in the interests of simplicity, general usefulness and minimizing computer cpu times, we confine ourselves here to the more conservative approach and discard the effects of grain growth and phase volume fraction changes. In addition, independent calculations for the consolidation of coated fibres have shown that accurate predictions of experimentally observed consolidation rates may be obtained without taking explicit account of the rigid fibre (Carmai 2001). This follows because the deformation occurring during the consolidation is largely kinematically constrained; the inner 'core' of the material away from the voids remains largely incompressible and undeformed in any case.…”

Section: Introductionmentioning

confidence: 99%

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A model for the consolidation of hexagonal array matrix coated fibre composites

Carmai¹,

Dunne²

2005

Modelling Simul. Mater. Sci. Eng.

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Physically based constitutive equations for the consolidation of matrix coated fibres (MCFs) arranged in hexagonal arrays are presented in this paper. The constitutive equations have firstly been developed using a variational method for a unit cell representing hexagonal array packing of the coated fibres under symmetric in-plane compressive load. The resulting constitutive equations have subsequently been generalized to multiaxial stress states and implemented into finite element software within a finite deformation framework to enable simulations of practical manufacturing processes. The model has been validated by comparing predicted results with those obtained from independently developed explicit micromechanical finite element models. The ability of the model to predict the observed behaviour has been tested by comparing the results of simulations with those of experiments. The model predictions compare well with the measured results. In addition the results of simulations suggest that the densification curves for square and hexagonal array packing effectively provide the lower and upper bounds, respectively, for practical consolidation behaviour of MCFs under uniaxial constrained compression.

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