Continuum approach for modelling transversely isotropic high-cycle fatigue

Holopainen, Sami; Kouhia, Reijo; Saksala, Timo

doi:10.1016/j.euromechsol.2016.06.007

Cited by 31 publications

(33 citation statements)

References 27 publications

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“…If k = 0 the damage increase per cycle will saturate to a constant value in a constant amplitude cyclic loading. However, in reality the damage rate increases with increasing damage and an alternative formulation with k = 1 is used in [12]. In that case, i.e.…”

Section: Model Formulation 21 High-cycle Fatiguementioning

confidence: 99%

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A continuum based macroscopic unified low-and high cycle fatigue model

et al. 2019

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In this work, an extension of a previously developed continuum based high-cycle fatigue model is enhanced to also capture the low-cycle fatigue regime, where significant plastic deformation of the bulk material takes place. Coupling of the LCF-and HCF-models is due to the damage evolution equation. The high-cycle part of the model is based on the concepts of a moving endurance surface in the stress space with an associated evolving isotropic damage variable. Damage evolution in the low-cycle part is determined via plastic deformations and endurance function. For the plastic behaviour a non-linear isotropic and kinematic hardening J2-plasticity model is adopted. Within this unified approach, there is no need for heuristic cycle-counting approaches since the model is formulated by means of evolution equations, i.e. incremental relations, and not changes per cycle. Moreover, the model is inherently multiaxial and treats the uniaxial and multiaxial stress histories in the same manner. Calibration of the model parameters is discussed and results from some test cases are shown. *

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Section: Model Formulation 21 High-cycle Fatiguementioning

confidence: 99%

“…Therefore this model avoids the ambiguous cycle-counting techniques. It also facilitates consistent extensions to cope with anisotropic fatigue [12] as well as to include stress gradient effects [13], for alternative approaches see e.g. [14,15].…”

Section: Introductionmentioning

confidence: 99%

A continuum based macroscopic unified low-and high cycle fatigue model

et al. 2019

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“…Transverse isotropic HCF model is described in [3] and extension to orthotropic symmetry in [6]. It has been successfuly utilized in the design of a telescopic boom structure [7].…”

Section: Basic Principlementioning

confidence: 99%

“…This approach allows consistent generalisation to anisotropic cases. A transversally isotropic version of this model was developed by Holopainen et al [3] and an initial approach to model both LCF-and HCF-regimes is decribed in [10,5], also polymer fatigue has been investigated [4]. One of the key deficiences of most fatigue models is that under complex load histories, cycle-counting methods need to be applied.…”

Section: Introductionmentioning

confidence: 99%

A new paradigm for fatigue analysis - evolution equation based continuum approach

Jussila¹,

Holopainen²,

Kaarakka³

et al. 2017

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“…This evolution equation based continuum approach to HCF is also used by R. Brighenti et al [10,11]. Extension to transverse isotropy is given in [12] and gradient effects are included in [13].…”

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confidence: 99%

Continuum approach to high-cycle fatigue. The finite life-time case with stochastic stress history

Orelma

2019

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki

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Рассматривается континуальный подход для описания многоцикловой усталости, когда срок службы изделия конечен. Предложено использовать эволюционную модель накопления усталостных микроповреждений в стохастической постановке. Данный подход позволяет учитывать стохастический разброс параметров повторяющегося нагружения. В рамках этого подхода срок службы изделия (время его жизни) отождествляется с началом разрушения материала, а случайный процесс нагружения описывается с помощью стохастических дифференциальных уравнений. Основное предположение состоит в том, что распределение срока службы изделия подчиняется логнормальному распределению или распределению Вейбулла. Представленная методика позволяет оценить сам процесс нагружения, сформировать реализацию такого нагружения и найти численное приближение по сроку службы изделия. Для демонстрации метода приводится численный пример, в котором рассматривается одномерная начальная задача определения времени жизни образца при его неотнулевом синусоидальном циклическом нагружении растяжением-сжатием, зашумленном винеровским стохастическим процессом. Поставленная задача решена численно для пятидесяти реализаций, в результате чего ответ дан в вероятностной формулировке, позволяющей более осознанно назначать запас прочности.

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Continuum approach for modelling transversely isotropic high-cycle fatigue

Cited by 31 publications

References 27 publications

A continuum based macroscopic unified low-and high cycle fatigue model

A continuum based macroscopic unified low-and high cycle fatigue model

A new paradigm for fatigue analysis - evolution equation based continuum approach

Continuum approach to high-cycle fatigue. The finite life-time case with stochastic stress history

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