Residual thermal stresses in the pull-out specimen: A finite element calculation

Leroy, François-Henri; Auvray, M.-H.; Lesne, Priscille

doi:10.1007/bf01153075

Cited by 13 publications

(3 citation statements)

References 4 publications

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“…These residual stresses, also referred to as initial stresses or pre-stresses, have been observed to modify the local stress distribution induced by external loads around inclusions and influence the effective moduli of the composite [7,8]. Notably, residual stresses play a substantial role in predicting interfacial shear stress when applying the theoretical model of single-fiber pullout [9]. Extensive research has been conducted to explore the distribution of residual stresses [10] and their impact on the frictional energy dissipation characteristics of the interface [3,11].…”

Section: Introductionmentioning

confidence: 99%

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

Pei,

Yang,

Zhou

et al. 2023

Mathematics and Mechanics of Solids

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Upon reevaluating the influence of residual stresses generated by thermal mismatches in fibrous composites during the curing process, we introduce a modified model for the extraction of a single fiber from an elastic matrix. In contrast to previous models, which solely factored residual stress effects into the boundary conditions at the fiber–matrix interface while omitting them from the constitutive relations, our current model acknowledges bulk residual stress as finite values. Consequently, it yields non-conventional constitutive relations to describe the incremental deformation caused by external pulling forces. We have developed a practical semi-analytical series solution for the radial displacement of the matrix and an exact solution for the radial displacement of the fiber. To validate our modified model, we simplify it to a scenario where the influence of residual stress on the stress–strain relationship is excluded and compare it with results from existing literature. This comparison underscores the soundness of our modified model. We present a phase diagram to illustrate how the impact of residual stress on stress field prediction varies based on the ratio of the fiber modulus to the matrix modulus. This phase diagram serves as a valuable tool for evaluating whether it is advisable to transition from the previous mechanical model, which disregards the influence of residual stress on the stress–strain relationship, to the new model, which takes this influence into account within the stress–strain relationship.

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Section: Introductionmentioning

confidence: 99%

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

Pei,

Yang,

Zhou

et al. 2023

Mathematics and Mechanics of Solids

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“…Several techniques are available to measure the fiber/matrix interface properties. These include fragmentation, [20,21,22] pull-out, [23,24] and push-out tests. [25][26][27][28] Here, push-out tests were carried out to evaluate both debonding and frictional shear stresses, thus allowing a second objective of this work, i.e., to identify any effect of interfacial strength changes on the fatigue crack growth resistance.…”

Section: Introductionmentioning

confidence: 99%

Effects of oxidation on the fatigue crack growth resistance and the interfacial properties of a Ti-MMC laminate composite

Brisset

Valle

Vassel

et al. 2003

Metall Mater Trans A

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Fatigue crack growth rates in a [0/90] 2s Ti-6A1-4V/SCS-6 cross-ply laminate, correlated with pushout tests, have been measured to assess the effects of varying test temperature, environment, load ratio (R), and initial stress intensity factor range (⌬K). The fatigue crack growth resistance is degraded in tests at 450°C in air, but tests carried out at test temperatures of up to 450°C under vacuum, both at R ϭ 0.1 and R ϭ 0.5, have shown crack arrest/catastrophic failure transitions (CA/CF), which are similar to those observed for specimens studied at room temperature and at 300°C in air. Moreover, for such [0/90] composites, the critical role of intact 0 deg fibers bridging in the crack wake, in promoting fatigue crack growth resistance, has been confirmed. Sudden increases of fatigue crack growth rate can be attributed to individual fiber failure(s), which were detected by acoustic emission techniques. The effect of the experimental conditions (environment, test temperature, and duration) on the mechanical behavior (fatigue crack growth rate, push-out tests, and broken fibers pull-out lengths) of this laminate may be explained by the modification of the interfacial zone (decrease in the carbon layer thickness due to oxidation and formation of TiO 2 ).

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“…Much research has been done in this area, developing comprehensive analytical approaches (among many others, see Budiansky et al (1986), Marshall andOliver (1987), Mc Cartney (1989), Hutchinson and Jensen (1990), Nairn (1992), and Evans and Zok (1994)). However, the limitations of the analytical models have also been demonstrated by ®nite element studies (Leroy et al, 1995;Guichet, 1998), so that there is still the need for more sophisticated interface debonding models and the associated numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

Interface debonding models: a viscous regularization with a limited rate dependency

Chaboche

Feyel

Monerie

2001

International Journal of Solids and Structures

129

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Interface models have been developed over the past 10 years for simulating various scales of composite debonding eects, such as decohesion between matrix and ®bers and delamination in laminates, formulated with and without rate dependencies. We give several examples of how sudden``solution jumps'' can occur in rate-independent models like the Tvergaard depending on the geometry, interface behavior, and ®nite element discretization. This kind of instability disappears for the often-used viscous models, but the result is a high rate dependency that deviate from experimental trends. A new kind of viscous regularization is proposed here, which applies to the Tvergaard debonding model or modi®ed ones, and has a limited rate dependency. A few simple examples are given, including the delamination of a double cantilever beam, to show the capabilities of the technique proposed.

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Residual thermal stresses in the pull-out specimen: A finite element calculation

Cited by 13 publications

References 4 publications

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

Effects of oxidation on the fatigue crack growth resistance and the interfacial properties of a Ti-MMC laminate composite

Interface debonding models: a viscous regularization with a limited rate dependency

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