Incremental model for fatigue crack growth based on a displacement partitioning hypothesis of mode I elastic–plastic displacement fields

Pommier, Sylvie; Hamam, Rami

doi:10.1111/j.1460-2695.2007.01128.x

Cited by 43 publications

(66 citation statements)

References 21 publications

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“…Previously, a model was developed and validated for mode I fatigue crack growth under variable amplitude loadings conditions [25,26]. It was able to model fatigue crack growth including plasticity induced history effects.…”

Section: Modellingmentioning

confidence: 99%

“…The local FE results are then brought to the global scale using a multiscale approach tailored for crack problems [25][26][27]. The global data generated by the post [25][26][27].…”

Section: The Multiscale Approachmentioning

confidence: 99%

“…In order to model service conditions in engineering applications, the computations become even more expensive, because real components often have fatigue lives of millions cycles, and cracks do not generally remain planar. The objective of the proposed methodology is to combine the precision of local finite element computations with the rapidity of a global approach [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

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History effect in fatigue crack growth under mixed-mode loading conditions

Decreuse¹,

Pommier²,

Gentot³

et al. 2009

International Journal of Fatigue

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Plastic deformation within the crack tip region introduces internal stresses that modify subsequent behaviour of the crack and are at the origin of history effects in fatigue crack growth.Consequently, fatigue crack growth models should include plasticity induced history effects. A model was developed and validated for mode I fatigue crack growth under variable amplitude loading conditions. The purpose of this study was to extend this model to mixed mode loading conditions. Finite element analyses are commonly employed to model crack tip plasticity and were shown to give very satisfactory results. However, if millions of cycles need to be modelled to predict the fatigue behaviour of an industrial component, the finite element method becomes computationally too expensive. By employing a multiscale approach, the local results of FE computations can be brought to the global scale. This approach consists of partitioning the velocity field at the crack tip into plastic and elastic parts. Each part is partitioned into mode I and mode II components, and finally each component is the product of a reference spatial field and an intensity factor. The intensity factor of the mode I and mode II plastic parts of the velocity fields, denoted by dρ I /dt and dρ II /dt, allow measuring mixed-mode plasticity in the crack tip region at the global scale.Evolutions of dρ I /dt and dρ II /dt, generated using the FE method for various loading histories, enable the identification of an empirical cyclic elastic-plastic constitutive model for the crack tip region at the global scale. Once identified, this empirical model can be employed, with no need of additional FE computations, resulting in faster computations. With the additional hypothesis that the fatigue crack growth rate and direction can be determined from mixed mode crack tip plasticity (dρ I /dt and dρ II /dt), it becomes possible to predict fatigue crack growth under I/II mixed mode and variable amplitude loading conditions. To compare the predictions of this model with experiments, an asymmetric four point bend test system was set-up. It allows applying any mixed mode loading case from a pure mode I condition to a pure mode II. Initial experimental results showed an increase of the mode I fatigue crack growth rate after the application of a set of mode II overload cycles.

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Section: Modellingmentioning

confidence: 99%

“…The local FE results are then brought to the global scale using a multiscale approach tailored for crack problems [25][26][27]. The global data generated by the post [25][26][27].…”

Section: The Multiscale Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

History effect in fatigue crack growth under mixed-mode loading conditions

Decreuse¹,

Pommier²,

Gentot³

et al. 2009

International Journal of Fatigue

Self Cite

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“…If the displacements vary as r, then it is clear that the strains (and therefore stresses) vary as 1/r, and hence the K-value may readily be extracted. Later, [2] our work extended to include a simple elasto-plastic model due to Pommier and Hammam [4]. This was shown to give a slightly better fit to the experimental results, but the absolute value of the plasticity parameter (effectively the crack tip opening displacement) was found to be sensitive to the choice of crack tip position.…”

Section: Introductionmentioning

confidence: 99%

Measurement and analysis of fatigue crack deformation at the micro-scale

Nowell¹,

Dragnevski²,

O’Connor³

2017

Frattura Ed Integrità Strutturale

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ABSTRACT. This paper introduces the use of digital image correlation for the measurement of surface displacements in the neighbourhood of a crack tip, both at the macro-and micro-scale. Various methods of interpreting the measured data and producing a crack driving force are then discussed, including the use of the full CJP model. A reduced set of parameters are then proposed, corresponding to the three principal interaction forces between the plastic enclave and the surrounding elastic material. Our own results, and those of Vasco Olmo, previously reported in the literature are then reanalysed using this new framework, and excellent agreement between two independent experiments is obtained. Implications for the analysis of further data sets are then discussed.

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“…The results of a literature review revealed that the research works, the ones using "fatigue crack growth" approach, can be classified into three major categories: (a) theoretical developments in fatigue threshold calculations and fatigue crack growth analyses [2][3][4][5][6][7][8][9][10][11][12], (b) application of numerical fatigue models, generally finite elements method, for modeling the fatigue behavior of adhesive joints [12][13][14][15][16][17][18][19], and finally (c) experimental fatigue works . The focus in the latter category was mainly to determine the fatigue threshold, crack growth and also to investigate the effects of influencing parameters.…”

Section: Introductionmentioning

confidence: 99%

A New Test Methodology for Simultaneous Assessment of Monotonic and Fatigue Behaviors of Adhesive Joints

Eskandarian

Jennings

2011

Journal of Adhesion Science and Technology

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Adhesive joints are normally subjected to different working conditions in their service-life. This may involve both static and cyclic loadings. In many instances, a combination of various loading conditions occurs that can be further provoked by exposure to hostile environments. This, in turn, leads to the need to characterize the joint behavior under different combinations of working conditions. Extensive experimental tests are needed in order to evaluate the joint performance under such variable working conditions. This implies the development of low cost and efficient testing techniques that reduces the extra needs to operator time and sophisticated test procedures.Taking this objective into account, a novel technique in mechanical evaluation of adhesive joints was developed in the present work. Alternative monotonic and variable-amplitude cyclic loads were applied on the same double-cantilever-beam (DCB) specimens under cleavage mode. DCB specimens were made from aluminum bars joined together by a two-part toughened structural adhesive. On one face, a series of crack detection sensors were bonded to control the testing machine for switching between monotonic and cyclic loadings. The testing machine had two aligned hydraulic actuators applying bending forces on the upper and lower arms of the DCB * Corresponding author:Tel.: +1 (418) 545-5247; Fax.: +1 (418) 545-5345; email: mojtaba.eskandarian@cnrc-nrc.gc.ca specimen. The effects of testing frequency and applied load history were also investigated within a range of 4 to 20 Hz for a nominal adhesive thickness of 0.5 mm. The fatigue performance of each configuration was represented by a power-law relationship and was compared for different testing conditions. The test results revealed that the fatigue damage occurred at relatively lower load levels (35%) when compared with monotonic fracture load. The power-law constants for the tested adhesive were influenced by testing frequency but not sensitive to loading order.

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Incremental model for fatigue crack growth based on a displacement partitioning hypothesis of mode I elastic–plastic displacement fields

Cited by 43 publications

References 21 publications

History effect in fatigue crack growth under mixed-mode loading conditions

History effect in fatigue crack growth under mixed-mode loading conditions

Measurement and analysis of fatigue crack deformation at the micro-scale

A New Test Methodology for Simultaneous Assessment of Monotonic and Fatigue Behaviors of Adhesive Joints

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