Overview no. 126 Stress relaxation by plastic flow, interfacial sliding and diffusion in an inclusion bearing material

Mori, T.; Huang, Jin H.; Taya, M.

doi:10.1016/s1359-6454(96)00212-1

Cited by 43 publications

(14 citation statements)

References 26 publications

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“…However, even on the same basis of a continuum representation [eq. (1)], Mori and coworkers have reported the eventual termination of creep through the variational principle 5) and FEM analyses 5) and through Fourier series formulation. 1) In this section, counter-proofs against them are presented from purely mathematical viewpoints.…”

Section: Discussionmentioning

confidence: 99%

“…Mori et al 5) also stated that FEM analysis showed the eventual termination of creep. They performed a twodimensional plane-strain calculation using MARC version 6 with a periodic boundary condition for a continuous fiberreinforced composite stressed perpendicularly to the fibers.…”

Section: Fem Analysismentioning

confidence: 98%

“…Orowan loops or prismatic loops, are necessarily formed. 17,18) Understanding this, Mori et al 5) made the following observation on the basis of the variational principle and FEM analyses. If in a composite (i) plastic strain occurring only in the matrix remains volume constant and (ii) neither sliding nor diffusion is allowed on the interfaces, then steady-state creep cannot occur and creep eventually terminates.…”

Section: Introductionmentioning

confidence: 98%

“…4) To deform an ideal composite, one must simultaneously accommodate the plastic strain mismatch between the matrix and reinforcements. At high temperatures, where diffusion is activated, the mismatch can be accommodated by the interfacial process, [5][6][7] i.e. simultaneous operation of interfacial sliding and diffusion.…”

Section: Introductionmentioning

confidence: 99%

“…Next, we discuss concrete dislocation activity-trace of dislocations-for plastically-accommodated creep around a rigid, cylindrical reinforcement in a creeping matrix ( §4). Finally, counterproofs against claims of creep termination through Fourier analysis, 1) the variational principle 5) and FEM 5) are presented from purely mathematical viewpoints ( §5).…”

Section: Introductionmentioning

confidence: 99%

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Rationalization of Plastically-Accommodated Steady-State Creep of a Composite

et al. 2004

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Composite creep deformation was analyzed, based on a continuum plasticity representation of the matrix, in an ideal composite at high temperatures in the case of negligible interfacial diffusion and sliding. A general formula of the steady-state creep strain rate was derived for a composite consisting of an ellipsoidal rigid reinforcement and a creeping matrix with a stress exponent of one. A closed-form solution was then derived for a composite with a cylindrical reinforcement under pure shear deformation in a two-dimensional analysis. The resultant creep deformation satisfies the requirements of impotency, volume conservation and interfacial continuity. Traces of two types of edge dislocations were analytically drawn; they show that dislocations climb over the reinforcement, retaining no dislocations either in the matrix or at the interface. Also, two types of dislocations simultaneously climb up and down at any portion in the matrix through dislocation core shuffling without long-distance diffusion. Finally, it was concluded that plastically-accommodated creep is characterized by two types of dislocations that simultaneously climb over a reinforcement, generating a heterogeneous creep strain increment without long-distance diffusion.

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Section: Discussionmentioning

confidence: 99%

Section: Fem Analysismentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rationalization of Plastically-Accommodated Steady-State Creep of a Composite

et al. 2004

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Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding

2001

Acta Mechanica

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Stress relaxation in composites reinforced by hard, spherical inclusions by interfacial diffusion and interracial sliding are studied separately. Somigliana dislocations are used to model the misfits at the matrix-inclusion interface. By adopting Papkovitch-Neuber displacement potentials, the transient fields of displacement and stress in the system of a single inclusion embedded in an infinite matrix under uniaxial tension are obtained explicitly. The overall anelastic behaviors of the composites are then analyzed on the basis of Mori-Tanaka mean-field approximation. Numerical results are illustrated, and some interesting concerns are discussed.

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Dislocation movement around an inclusion during plastically-accommodated creep at high temperatures

Satô

Kuribayashi

2000

Metals and Materials

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Plastically accommodated creep in an inclusion bearing material (particle-or discontinuous fiberreinforced metal matrix composite) without any interfacial relaxation mechanisms has been examined. For a material with an elastic-viscoplastic matrix, the non-uniform strain rate in steady state creep is derived using Eshelby's solution for elastic strain outside an inclusion. The obtained creep strain increment is impotent and does not generate any additional internal stress. During this creep deformation, a dislocation comes in from one direction and goes out in another direction, so that no dislocation nor internal stress but a heterogeneous plastic strain remains in the material. The concrete trajectory of the dislocations climbing over a cylindrical inclusion is calculated and illustrated.

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Overview no. 126 Stress relaxation by plastic flow, interfacial sliding and diffusion in an inclusion bearing material

Cited by 43 publications

References 26 publications

Rationalization of Plastically-Accommodated Steady-State Creep of a Composite

Rationalization of Plastically-Accommodated Steady-State Creep of a Composite

Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding

Dislocation movement around an inclusion during plastically-accommodated creep at high temperatures

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