Application of anisotropic continuum damage mechanics in ratcheting characterization

Surmiri, Azam; Nayebi, A.; Rokhgireh, H.

doi:10.1080/15376494.2020.1751353

Cited by 8 publications

(8 citation statements)

References 22 publications

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“…6 The tension and compression properties’ asymmetry is mainly due to the porosity induced during the manufacturing process. 4,23 It is noteworthy that the asymmetry was also observed after annealing. 6…”

Section: Resultsmentioning

confidence: 91%

“…The increase of the damage parameter is due to the decrease of the effective area, and when D reaches D c , the failure occurs, where D c is a material parameter. For the case of crack closure, effective stress can be defined as Ytrue¯ is also dependent on h and can be presented as 23 ⟨ σ ⟩ + and ⟨ σ ⟩ − of a symmetric tensor are obtained from the positive and negative eigenvalues ( s k ) and corresponding eigenvectors ( q k ) of the mentioned tensor, respectively. They are defined as …”

Section: Constitutive Models Of Cdm With Crack Closure Effectmentioning

confidence: 99%

“…18 Coupling of the plastic deformation and the developed damage and concepts such as crack closure and damage growth rate were considered for ductile failure in this model. 23,24…”

Section: Introductionmentioning

confidence: 99%

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Modelling the asymmetric tension–compression properties of additively manufactured alloys using continuum damage mechanics

Nayebi

Rokhgireh

Araghi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Additively manufactured parts often comprise internal porosities due to the manufacturing process, which needs to be considered in modelling their mechanical behaviour. It was experimentally shown that additively manufactured parts’ tensile and compressive mechanical properties are different for various metallic alloys. In this study, isotropic continuum damage mechanics is used to model additively manufactured alloys’ tension and compression behaviours. Compressive stress components can shrink discontinuities present in additively manufactured alloys. Therefore, the crack closure effect was employed to describe different behaviours during uniaxial tension and compression tests. A finite element model embedded in an ABAQUS’s UMAT format was developed to account for the isotropic continuum damage mechanics model. The numerical results of tension and compression tests were compared with experimental observations for additively manufactured maraging steel, AlSi10Mg and Ti-6Al-4V. Stress–strain curves in tension and compression of these alloys were obtained using the continuum damage mechanics model and compared well with the experimental results.

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Section: Resultsmentioning

confidence: 91%

Section: Constitutive Models Of Cdm With Crack Closure Effectmentioning

confidence: 99%

See 1 more Smart Citation

Modelling the asymmetric tension–compression properties of additively manufactured alloys using continuum damage mechanics

Nayebi

Rokhgireh

Araghi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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show abstract

“…where p 1 and p 2 are material parameters and s is the Odqvist parameter. In [19] the applicability of the classical rule (38) was studied. The Odqvist parameter s was discovered to be inappropriate for the accurate description of the isotropic hardening in VT6.…”

Section: Results Of Identification and Validationmentioning

confidence: 99%

“…However, this can be made based on principles from [20,9,30,4]. Application of ductile damage models to ratcheting of metals is found in [18,38].…”

Section: Introductionmentioning

confidence: 99%

Inspection of ratcheting models for pathological error sensitivity and overparametrization

Kaygorodtseva¹,

Shutov²

2021

Preprint

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Accurate analysis of plastic strain accumulation under stress-controlled cyclic loading is vital for numerous engineering applications. Typically, models of plastic ratcheting are calibrated against available experimental data. Since actual experiments are not exactly accurate, one should check the identification protocols for pathological dependencies on experimental errors. In this paper, a step-by-step algorithm is presented to estimate the sensitivities of identified material parameters. As a part of the sensitivity analysis method, a new mechanics-based metric in the space of material parameters is proposed especially for ratchetingrelated applications. The sensitivity of material parameters to experimental errors is estimated, based on this metric. For demonstration purposes, the accumulation of irreversible strain in the titanium alloy VT6 (Russian analog of Ti-6Al-4V) is analysed. Three types of phenomenological models of plastic ratcheting are considered. They are the Armstrong-Frederick model as well as the first and the second Ohno-Wang models. Based on real data, a new rule of isotropic hardening is proposed for greater accuracy of simulation. The ability of the sensitivity analysis to determine reliable and unreliable parameters is demonstrated. The plausibility of the new method is checked by alternative approaches, like the consideration of correlation matrices and validation of identified parameters on "unseen" data. A relation between pathological error sensitivity and overparametrization is established.

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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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Application of anisotropic continuum damage mechanics in ratcheting characterization

Cited by 8 publications

References 22 publications

Modelling the asymmetric tension–compression properties of additively manufactured alloys using continuum damage mechanics

Modelling the asymmetric tension–compression properties of additively manufactured alloys using continuum damage mechanics

Inspection of ratcheting models for pathological error sensitivity and overparametrization

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

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