High cycle fatigue analysis in presence of residual stresses by using a continuum damage mechanics model

Do, Vuong Nguyen Van; Lee, Chin-Hyung; Chang, Kyong-Ho

doi:10.1016/j.ijfatigue.2014.08.013

Cited by 69 publications

(21 citation statements)

References 54 publications

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“…This general idea has widely been exploited in Refs. [22][23][24] among others, to model HCF response of the alloys investigated. However, the majority of these models are limited to the simple case of uniaxial fatigue loading with simple uniaxial fatigue criteria, such as Goodman's criterion, in contrast with the more general and more versatile (V)HCF-DAM of this study, as demonstrated in the following.…”

Section: Development Of the High Cycle Fatigue Damage Accumulation Momentioning

confidence: 99%

“…Because no large-scale plasticity is involved in HCF and VHCF regimes, one can safely assume that HCF and VHCF failure can be described by means of the brittle damage mechanism, as exploited in Refs. [22][23][24], to mention but a few. To demonstrate the versatility of the presented formalism, six different variants of our proposed DAM are developed and numerically implemented using two characteristic damage functions and three popular multiaxial fatigue criteria.…”

Section: Introductionmentioning

confidence: 99%

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A General Damage Accumulation Model for Multiaxial, Proportional High Cycle Fatigue Loadings With Sines, Crossland and Dang Van Criteria

Ghazavizadeh

Meraghni

Peltier

et al. 2019

Journal of Applied Mechanics

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In this paper, a key differential equation is proposed to formulate fatigue damage evolution in metallic alloys under multiaxial, multiblock, proportional loadings in high cycle fatigue (HCF) and very high cycle fatigue (VHCF) regimes. This differential equation possesses two main components: one is a stress function to accommodate the adopted fatigue criterion and the other one is a characteristic damage function that serves to capture the HCF response of alloys. Two distinct characteristic damage functions with three different multiaxial fatigue criteria, namely Sines, Crossland, and Dang Van criteria, are examined to develop six (out of many possible) variants of the presented damage accumulation model. As a validation measure, Chaboche’s HCF damage model is retrieved as a specific case of the developed formalism. For model parameters identification, an ad hoc two-level identification scheme is designed and numerically verified. It is demonstrated that endurance limit, which is determined from fully reversed HCF tests (i.e., R = −1), can be identified from fatigue tests with positive stress ratio (R > 0), thus making our development quite suitable for specimens prone to buckling under compression. Another salient feature of the devised identification scheme is its capability in extracting model parameters from noisy data.

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Section: Development Of the High Cycle Fatigue Damage Accumulation Momentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A General Damage Accumulation Model for Multiaxial, Proportional High Cycle Fatigue Loadings With Sines, Crossland and Dang Van Criteria

Ghazavizadeh

Meraghni

Peltier

et al. 2019

Journal of Applied Mechanics

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show abstract

“…Consequently, there is an imminent urge to develop a method to comprehensively consider the weld‐induced residual stresses, initial damage, as well as the interactive relationship between the fatigue damage and residual stresses, when evaluating the fatigue property of welded structures. The continuum damage mechanics (CDMs) could be a suitable candidate because of its advantageous ability for describing the mechanical performance of a deteriorated material and for calculating the progressive damage by developing damage‐coupled constitutive model and thermodynamics‐based damage evolution laws . Do et al developed a nonlinear damage cumulative model, based on the CDM approach.…”

Section: Introductionmentioning

confidence: 99%

“…The continuum damage mechanics (CDMs) could be a suitable candidate because of its advantageous ability for describing the mechanical performance of a deteriorated material and for calculating the progressive damage by developing damage‐coupled constitutive model and thermodynamics‐based damage evolution laws . Do et al developed a nonlinear damage cumulative model, based on the CDM approach. The high‐cycle fatigue lives of welding joints were calculated using this proposed model, which took the weld‐induced residual stresses under consideration.…”

Section: Introductionmentioning

confidence: 99%

Fatigue life prediction for butt‐welded joints considering weld‐induced residual stresses and initial damage, relaxation of residual stress, and elasto‐plastic fatigue damage

Wang

Meng

2019

Fatigue Fract Eng Mat Struct

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Fatigue damage of butt‐welded joints is investigated by a damage mechanics method. First, the weld‐induced residual stresses are determined by using a sequentially coupled thermo‐mechanical finite element analysis. The plastic damage of material is then calculated with the use of Lemaitre's plastic damage model. Second, during the subsequent fatigue damage analysis, the residual stresses are superimposed on the fatigue loading, and the weld‐induced plastic damage is considered as the initial damage via an elasto‐plastic fatigue damage model. Finally, the fatigue damage evolution, the relaxation of residual stress, and the fatigue lives of the joints are evaluated using a numerical implementation. The predicted results agree well with the experimental data.

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“…Hojjati‐Talemi et al estimated fretting fatigue failure lifetime with an uncoupled damage evolution law on the basis of principles of CDM. Vuong et al used CDM to predict the HCF life of a butt‐welded steel plate that contained weld‐induced residual stresses.…”

Section: Introductionmentioning

confidence: 99%

Application of continuum damage mechanics to vibration fatigue life prediction

Sun

Fang

et al. 2017

Fatigue Fract Eng Mat Struct

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It is pivotal to predict the multiaxial vibration fatigue life during mechanical structural dynamics design. An algorithm of the finite element method implementation for multiaxial high cycle fatigue life evaluation is proposed, on the basis of elastic evolution model of continuum damage mechanics. By considering structural dynamic characteristics, namely, resonant frequencies and mode shapes, this algorithm includes a modal analysis and harmonic analysis, which makes this different from existing fatigue life prediction methods. A 10% decrease in the resonant frequency is regarded as the failure criterion. A critical damage value was obtained, which indicates mesocrack initiation fulfilment. To validate the effectiveness of the algorithm, auto-phase sine resonance track-and-dwell experiments were conducted on notched cantilever beams made of Ti-6Al-4V alloy. The life predictions are conservative and in good agreements with the experimental results, which are mainly distributed within a scatter band of 2. This investigation could provide technical support for structural dynamics design and the analysis of reusable spacecraft.

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High cycle fatigue analysis in presence of residual stresses by using a continuum damage mechanics model

Cited by 69 publications

References 54 publications

A General Damage Accumulation Model for Multiaxial, Proportional High Cycle Fatigue Loadings With Sines, Crossland and Dang Van Criteria

A General Damage Accumulation Model for Multiaxial, Proportional High Cycle Fatigue Loadings With Sines, Crossland and Dang Van Criteria

Fatigue life prediction for butt‐welded joints considering weld‐induced residual stresses and initial damage, relaxation of residual stress, and elasto‐plastic fatigue damage

Application of continuum damage mechanics to vibration fatigue life prediction

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