On the accurate assessment of crack opening and closing stresses in plasticity-induced fatigue crack closure problems

Matos, P.F.P. de; Nowell, D.

doi:10.1016/j.engfracmech.2006.09.007

Cited by 72 publications

(38 citation statements)

References 35 publications

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“…Two load cycles between crack increments were considered here, which probably does not stabilize completely the stress-strain cycles but it is enough for a parametric study focused on the effect of mesh size. This number of load cycles was adopted by different authors [18,20,32,61].…”

Section: Discussionmentioning

confidence: 99%

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Finite element meshes for optimal modelling of plasticity induced crack closure

Antunes

Camas

Correia

et al. 2015

Engineering Fracture Mechanics

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The main goal here is to optimise the finite element mesh used to predict plasticity inducedcrack closure (PICC). A numerical model was developed for a M(T) specimen made of6016-T4 aluminium alloy. The parameters studied were the size of most refined region perpendicularly to crack flank (ym) and along propagation direction (xr), the size of finite elements near crack tip (L1) and the vertical size of refinement close to crack flank (yA/B). A maximum size of about 1.3 mm was found for ym, but a smaller value has a limited impact on PICC. An analytical expression was proposed for xr, dependent on DK and Kmax. An optimumvalue seems to exist for L1.

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Section: Discussionmentioning

confidence: 99%

“…The number of mesh refinements depends on the size of crack tip elements, L 1 . Matos and Nowell [61] also used a progressive refinement of mesh as the crack flank is approached.…”

Section: Size Of Region a Y A/bmentioning

confidence: 99%

Finite element meshes for optimal modelling of plasticity induced crack closure

Antunes

Camas

Correia

et al. 2015

Engineering Fracture Mechanics

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“…The load is presented in the form of σ / Y 0 , σ being the remote stress, and Y 0 being the material's yield stress. Similar results were obtained experimentally using digital image correlation, and by Matos and Nowell and Pommier and Risbet using the finite element method. The crack is closed for relatively low loads, ie, between the minimum load (point A) and the crack opening load (point B).…”

Section: Introductionmentioning

confidence: 99%

Elastic correction of fatigue crack growth laws

Antunes

Prates

Camas

et al. 2019

Fatigue Fract Eng Mat Struct

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Fatigue crack growth (FCG) is usually studied assuming that ΔK is the driving parameter. An effective ΔK is considered in the presence of crack closure. However, after crack opening, there is an elastic regime that does not contribute to FCG. The objective here is to quantify this elastic range of ΔK, ΔKel, for different loading conditions and material properties. The yield stress was found to be the most important material parameter, followed by the hardening exponent. A linear decrease of ΔKel with ΔK was found for the 7050‐T6, 6082‐T6, and 6016‐T4 aluminium alloys, while the 304L stainless steel presented a slight increase. On the other hand, the increase of Kmax was found to increase the elastic fatigue range. Relatively high values of elastic range were obtained for the plane strain state, compared with the plane stress state.

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“…The technique is well established in other fields of applied mechanics; for example, in the late '60s, Maier had already demonstrated its effectiveness in solving non-linear structural problems [22], elastic-perfectly plastic structures [23] and problems involving creep [24]. Finally, quadratic programming has been applied in combination either with finite element methods (FEM) [26] [27], or boundary element methods (BEM) [25] to investigate problems related to fracture and contact mechanics.…”

Section: A C C E P T E D Accepted Manuscriptmentioning

confidence: 99%

A quadratic programming formulation for the solution of layered elastic contact problems: Example applications and experimental validation

Reina

Dini

Hills

et al. 2011

European Journal of Mechanics - A/Solids

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The development of a quadratic programming formulation for the solution of layered elastic contact problems in the presence of friction is presented in this paper. Conveyor belts, tyred wheels, composite cylinders, and conrod bearings, are classical examples of systems which can be studied using the efficient numerical methodology proposed here. In this type of mechanical assembly, micro-slip between the mating surfaces often occurs and may eventually lead to system failure. Accurately capturing the evolution of slip and stick areas using a computationally inexpensive procedure (as an alternative to full finite element analysis) is therefore key to preventing these failures and to improving the design of various engineering components. The proposed approach is first tested and validated against classical marching-in-time solutions for two-dimensional layered systems in the presence of both static and moving loads. Results are then extended to demonstrate the feasibility of the technique to study systems with multiple slip regions and to solve rolling contact problems of practical interest. Finally, the numerical methodology is successfully applied to the prediction of frictional creep of tyred cylinders. Experimental corroboration has been obtained by testing tyred discs.

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On the accurate assessment of crack opening and closing stresses in plasticity-induced fatigue crack closure problems

Cited by 72 publications

References 35 publications

Finite element meshes for optimal modelling of plasticity induced crack closure

Finite element meshes for optimal modelling of plasticity induced crack closure

Elastic correction of fatigue crack growth laws

A quadratic programming formulation for the solution of layered elastic contact problems: Example applications and experimental validation

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