Early prediction of macroscale plastic strain localization in titanium from observation of mesoscale surface roughening

Романова, В. А.; Балохонов, Р. Р.; Emelianova, Е.; Sinyakova, E. A.; Kazachenok, Marina

doi:10.1016/j.ijmecsci.2019.105047

Cited by 26 publications

(8 citation statements)

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“…The dimensionless roughness parameter was calculated for a set of surface profiles measured along the model centerline in the range of tensile strains up to 20%. The strain-dependent roughness curve plotted in Figure 8B demonstrates non-linear growth in the course of plastic deformation, which agrees with previous experimental and numerical results obtained in (Romanova et al, 2017a(Romanova et al, , 2019(Romanova et al, , 2020. The dimensionless roughness parameter estimated for roughness profiles in plastically-deformed titanium alloy appeared to be rather sensitive to the local plastic straining.…”

Section: Deformation-induced Surface Roughening In the Presence Of Musupporting

confidence: 88%

“…Let us estimate the roughness evolution in terms of a dimensionless roughness parameter proposed in Romanova et al (2017aRomanova et al ( , 2019 to quantify surface roughening in plastically deformed materials. By analogy with the strain quantification, the dimensionless roughness R d is calculated as Figure 8A at 20% tensile strain.…”

Section: Deformation-induced Surface Roughening In the Presence Of Mumentioning

confidence: 99%

“…On the other hand, the roughness pattern can be used for non-destructive testing of the material stress-strain state. In our recent studies (Romanova et al, 2017a(Romanova et al, , 2019(Romanova et al, , 2020, we gave a special consideration to the mesoscale processes where roughness patterns were formed by grain groups involved in cooperative out-of-plane surface displacements. Experimental and numerical results obtained for a titanium alloy (Romanova et al, 2017a(Romanova et al, , 2019(Romanova et al, , 2020 suggested us that it is the mesoscale roughness which might be used as an early precursor of macroscale plastic strain localization and fracture.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical Aspects of Deformation-Induced Surface Roughening in the Presence of Inclusions in a Subsurface Layer. Numerical Modeling

et al. 2020

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The mechanical aspects of deformation-induced surface roughening inherent in microstructural inhomogeneity are studied numerically using single inclusion models. Three-dimensional finite-element calculations of uniaxial tension are performed for a set of single inclusion models where a cubic-shaped inclusion is embedded into a homogeneous matrix. The inclusion-to-surface distance, tilt angle about the axis of tension, and the ratio between the matrix and inclusion elastic-plastic properties are varied in different combinations to study the effects which these parameters have on the development of out-of-plane surface displacements under uniaxial tension. It has been shown that all stress and strain tensor components in the vicinity of inclusions take on non-zero values, including those directed across the load axis. Thus, the free surface becomes rough under the action of internal forces originated from the inhomogeneous stress-strain fields. Some illustrative examples of surface roughening under uniaxial tension are shown for multiple ellipsoidal inclusions periodically arranged in a subsurface layer of an elastic-plastic material.

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Section: Deformation-induced Surface Roughening In the Presence Of Musupporting

confidence: 88%

Section: Deformation-induced Surface Roughening In the Presence Of Mumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mechanical Aspects of Deformation-Induced Surface Roughening in the Presence of Inclusions in a Subsurface Layer. Numerical Modeling

et al. 2020

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“…However, due to the tensor symmetry, the results will be similar to those obtained when using (d − d p ). In some studies, the authors explicitly say that they use linear constitutive relations written in the local coordinate systems of crystallites [66,67].…”

Section: Analysis Of the Formulations With An Emphasis On Describing Geometric Nonlinearity And Fulfillment Of Thermodynamic Constraintsmentioning

confidence: 99%

Some Issues on Crystal Plasticity Models Formulation: Motion Decomposition and Constitutive Law Variants

2021

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In this paper, kinematic relations and constitutive laws in crystal plasticity are analyzed in the context of geometric nonlinearity description and fulfillment of thermodynamic requirements in the case of elastic deformation. We consider the most popular relations: in finite form, written in terms of the unloaded configuration, and in rate form, written in terms of the current configuration. The presence of a corotational derivative in the relations formulated in terms of the current configuration testifies to the fact that the model is based on the decomposition of motion into the deformation motion and the rigid motion of a moving coordinate system, and precisely the stress rate with respect to this coordinate system is associated with the strain rate. We also examine the relations of the mesolevel model with an explicit separation of a moving coordinate system and the elastic distortion of crystallites relative to it in the deformation gradient. These relations are compared with the above formulations, which makes it possible to determine how close they are. The results of the performed analytical calculations show the equivalence or similarity (in the sense of the response determined under the same influences) of the formulation and are supported by the results of numerical calculation. It is shown that the formulation based on the decomposition of motion with an explicit separation of the moving coordinate system motion provides a theoretical framework for the transition to a similar formulation in rate form written in terms of the current configuration. The formulation of this kind is preferable for the numerical solution of boundary value problems (in a case when the current configuration and, consequently, contact boundaries, are not known a priori) used to model the technological treatment processes.

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Section: Deformation-induced Surface Roughening In the Presence Of Multiple Inclusions In A Subsurface Layermentioning

confidence: 99%

Contact Mechanics Perspective of Tribology

2021

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Early prediction of macroscale plastic strain localization in titanium from observation of mesoscale surface roughening

Cited by 26 publications

References 44 publications

Mechanical Aspects of Deformation-Induced Surface Roughening in the Presence of Inclusions in a Subsurface Layer. Numerical Modeling

Mechanical Aspects of Deformation-Induced Surface Roughening in the Presence of Inclusions in a Subsurface Layer. Numerical Modeling

Some Issues on Crystal Plasticity Models Formulation: Motion Decomposition and Constitutive Law Variants

Contact Mechanics Perspective of Tribology

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