Machining simulation of Ti6Al4V using coupled Eulerian-Lagrangian approach and a constitutive model considering the state of stress

Xu, Xiang; Outeiro, José; Zhang, Jun; Xu, Binbin; Zhao, Wanhua; Astakhov, Viktor P.

doi:10.1016/j.simpat.2021.102312

Cited by 46 publications

(16 citation statements)

References 68 publications

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“…Usually, the equivalent stresses should be consistent with the yield criterion. [ 22 ] It is presumed that the mechanical behavior of Ti6Al4V can be described by J 2 criterion, [ 23,24 ] and then

σ_{eq}

and

ε_{eq}

can been expressed as

σ_{eq} = \sqrt{s_{i j} : s_{i j}}, ε_{eq} = \sqrt{\frac{2}{3} ε_{i j} : ε_{i j}}

where

s_{i j}

(

s_{i j} = σ_{i j} - σ_{normalm}

) is stress partial tensor, and

ε_{i j}

is strain tensor.…”

Section: Resultsmentioning

confidence: 99%

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Indentation Size Effect Model of Ti6Al4V Alloy by Combining the Macroscopic Power‐Law Constitutive Relation and Strain Gradient Theory

et al. 2022

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Indentation size effect (ISE) is a critical feature for investigating the local properties of materials using the indentation test method. Although there are numerous works on the indentation response, there is a lack of data in the literature on the association between nanoindentation and uniaxial compression. Herein this study, uniaxial compression tests combined with Digital Image Correlation Technique are conducted on Ti6Al4V alloy with a focus on investigating the elastic–plastic properties and obtaining the accurately constitutive relation. Then, an ISE model of Ti6Al4V is established based on this constitutive relation and strain gradient theory. Indentation hardness, predicted by this proposed model, agrees well with the measurement by nanoindentation experimental techniques. This model can be used to bridge the gap between the uniaxial stress–strain and the depth‐dependent hardness, and clarifies the effect of the strain hardening on indentation hardness. The significance of this model is that it provides a direct and reasonable theory foundation to investigate ISE by uniaxial compression, and promotes the potential application of nanoindentation.

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σ_{eq}

and

ε_{eq}

can been expressed as

σ_{eq} = \sqrt{s_{i j} : s_{i j}}, ε_{eq} = \sqrt{\frac{2}{3} ε_{i j} : ε_{i j}}

where

s_{i j}

(

s_{i j} = σ_{i j} - σ_{normalm}

) is stress partial tensor, and

ε_{i j}

is strain tensor.…”

Section: Resultsmentioning

confidence: 99%

“…Usually, the equivalent stresses should be consistent with the yield criterion. [22] It is presumed that the mechanical behavior of Ti6Al4V can be described by J 2 criterion, [23,24] and then σ eq and ε eq can been expressed as…”

Section: Uniaxial Compression Experimental Resultsmentioning

confidence: 99%

Indentation Size Effect Model of Ti6Al4V Alloy by Combining the Macroscopic Power‐Law Constitutive Relation and Strain Gradient Theory

et al. 2022

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“…The element type for the Eulerian medium, workpiece, and void is an eight-node thermo-mechanical coupled linear Eulerian brick element (EC3D8RT). A size of 5 microns in the cutting zone and an orientation of 90 • with respect to the cutting direction of the Eulerian parts are established based on [14] outcomes. The tool elements are eight-node linear thermo-mechanical coupled brick elements (C3D8RT).…”

Section: Description Of the Orthogonal Cutting Modelmentioning

confidence: 99%

“…Therefore, it is understood that the model does not accurately simulate the experimental chip formation mechanism. Recently, Xu et al [14] developed a 3D model based on a newly developed plastic behavior law capable of predicting both segmented chip formation and the existence of a material-side flow. The damage laws in all models introduced have been based on the JC law for the initiation and energy criteria for evolution.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Shuang et al [10] can predict different forms of segmented chips with modified JC, whereas Xu et al [14] states that the JC constitutive law cannot successfully predict segmented chip mechanisms. At the same time, the only work demonstrating remarkable differences in the simulated chips is that of Shuang et al [10], in which the damage law was not reported.…”

Section: Introductionmentioning

confidence: 99%

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A new damage evolution criterion for the coupled Eulerian-Lagrangian approach: Application to three-dimensional numerical simulation of segmented chip formation mechanisms in orthogonal cutting

Ambrosio

Tongne

Wagner

et al. 2022

Journal of Manufacturing Processes

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A prediction model of residual stress for belt‐grinding blade based on geometrical characteristic and progressive wear of abrasive grains

Wang

Lai

et al. 2022

Numerical Meth Engineering

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The formation mechanism of residual stress on the machined surface of belt grinding is sophisticated, and residual stress is an important factor affecting the fatigue life of aero‐engine blades. In this study, a prediction model of residual stress in a belt grinding blade is proposed with the geometrical characteristics and progressive wear of the grains as the research topic. By extracting the morphological features of abrasive belt, the residual stress based on different geometrical characteristics of grains (pyramidal, hexahedral, spherical, and conical belts) were investigated, and the optimal grain geometry was determined to be a uniformly arranged positive quadrilateral cone. Accordingly, a grinding experiment with a pyramidal belt was conducted to obtain an experienced model of the grain wear height. A numerical simulation model of the grain wear evolution under four wear states (no abrasion, early abrasion, middle abrasion, and late abrasion) was developed. Additionally, more detailed progressive wear of the abrasive grains was also applied to grind the entire profile of the complex curved blade. The residual stress on the blade surface was mainly compressive, and the surface stress values were distributed between −385 and −117 MPa with the service life of the pyramidal abrasive belt.

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Machining simulation of Ti6Al4V using coupled Eulerian-Lagrangian approach and a constitutive model considering the state of stress

Cited by 46 publications

References 68 publications

Indentation Size Effect Model of Ti6Al4V Alloy by Combining the Macroscopic Power‐Law Constitutive Relation and Strain Gradient Theory

Indentation Size Effect Model of Ti6Al4V Alloy by Combining the Macroscopic Power‐Law Constitutive Relation and Strain Gradient Theory

A new damage evolution criterion for the coupled Eulerian-Lagrangian approach: Application to three-dimensional numerical simulation of segmented chip formation mechanisms in orthogonal cutting

A prediction model of residual stress for belt‐grinding blade based on geometrical characteristic and progressive wear of abrasive grains

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