Evolutionary Model of Fatigue Fracture Under Irregular Loading

Petukhov, D. S.; Келлер, И. Э.

doi:10.3103/s0025654422020194

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…This allows for a simplification of service life analysis, reducing it to the post-processing of linear elastic solutions. Notably, sophisticated post-processing techniques analyze the evolution of backstress-like tensors [46,47], the concept established for models of nonlinear kinematic hardening. Consequently, evolving backstresses, or analogous stress-like measures, may appear even in materials subject to elastic loading.…”

Section: Basic Model With Nonlinear Isotropic and Kinematic Hardeningmentioning

confidence: 99%

Uniaxial ratcheting and ductile damage in structural steel with a stochastic spreading of experimental data

Shutov,

Kaygorodtseva,

Zakharchenko

et al. 2024

Z Angew Math Mech

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This paper provides new experimental data regarding inelastic strain accumulation in structural steel samples. The samples are subjected to stress‐controlled cyclic loading with positive mean stress within each cycle; the loading blocks are combined in a complex pattern to study the effect of load history. A large‐strain ratcheting model is constructed based on a material law with a nonlinear kinematic and isotropic hardening. A new rule of ductile damage accumulation is suggested and a class of models with hardening stagnation is introduced. We show that models which include the hardening stagnation describe the experimental data more accurately. Unfortunately, due to a large spread of mechanical properties from sample to sample, it is impossible to describe the entire set of experiments using a single set of parameters. To address this challenge, we have developed novel mathematical tools for parameter identification in the context of stochastic variations in mechanical properties. These tools include the concept of a collar of model responses and the notion of protrusion. We propose an extended parameter identification problem that rethinks the standard error functional. We demonstrate that the extended identification problem effectively accounts for the large spread observed in experimental data when applied to the developed ratcheting model.

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Section: Basic Model With Nonlinear Isotropic and Kinematic Hardeningmentioning

confidence: 99%

Uniaxial ratcheting and ductile damage in structural steel with a stochastic spreading of experimental data

Shutov,

Kaygorodtseva,

Zakharchenko

et al. 2024

Z Angew Math Mech

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Численное Моделирование Усталостного Разрушения На Основе Нелокальной Теории Циклической Повреждаемости

Burago,

Nikitin,

Nikitin

et al. 2024

Матем. моделирование

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На основе мультирежимной модели усталостного разрушения предложен численный метод расчета кинетики разрушения, возникновения и развития усталостных «квазитрещин». Для образцов с надрезами, имеющими разные радиусы закругления, рассмотрены процессы высокочастотного циклического растяжения-сжатия с разными коэффициентами асимметрии цикла. Сходимость численных решений для процессов возникновения и развития квазитрещин, а также для расчета долговечности обеспечена применением нелокальной функции повреждаемости вблизи зон разрушения. В вычислительных экспериментах показана эффективность разработанной численной процедуры. Представлены результаты расчетов усталостного разрушения для различных режимов циклического нагружения с разными коэффициентами асимметрии цикла и с учетом искусственно нанесенных дефектов.

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Evolutionary Model of Fatigue Fracture Under Irregular Loading

Cited by 2 publications

References 7 publications

Uniaxial ratcheting and ductile damage in structural steel with a stochastic spreading of experimental data

Uniaxial ratcheting and ductile damage in structural steel with a stochastic spreading of experimental data

Численное Моделирование Усталостного Разрушения На Основе Нелокальной Теории Циклической Повреждаемости

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