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..:: PMRC 
Microstructure Sensitive Constitutive 
Modeling For Machining Applications 
1 / 12 
PI: Dr. Shreyes Melkote 
Post-Doc: Dr. Buddhika Jayasena 
GRAs: Rui Liu & Patxi Fernandez-Zelaia
..:: PMRC 
2 / 12 
Outline 
• Introduction 
• Motivation 
• Current Work 
• Future Work
..:: PMRC 
3 / 12 
Introduction 
• Machining processes often 
follow primary shaping 
• Industrial applications 
performed at high speeds 
– Improved finish 
– Decreased cutting forces 
– Decreased thermal effects 
– Improved production time 
• Orthogonal cutting used to study 
mechanics of process 
– Plane strain 
“Large Strain Deformation Field in 
Machining” Lee et al. 2006
..:: PMRC 
4 / 12 
Introduction 
• Large imposed strains under 
high rate deformation 
– upto ~105 s-1, ε=~1-15 
– Large temperature rise 
• Thermo-mechanical loading 
induces microstructural 
evolution 
“On the Metal Physical 
Considerations in the 
Machining of Metals” 
Ramalingam & Black 1972 “Large strain deformation and ultra-fine grained 
material by machining” Swaminathan et al. 2005
..:: PMRC 
5 / 12 
Introduction 
• Significant work performed to 
study role of processing 
conditions on microstructure 
• Continuous DRX grain 
refinement mechanism 
associated with dislocation cell 
formation and LABHAB 
transition 
“A study of the interactive effects of strain, strain 
rate and temperature in severe plastic deformation of 
copper” Brown et al. 2009 
“Large strain deformation and ultra-fine grained 
material by machining” Swaminathan et al. 2005 
“Evolution of misorientation 
distribution during warm ‘abc’ forging 
of commercial-purity titanium” 
Mironov et al. 2006
..:: PMRC 
6 / 12 
Motivation 
• Predictive capabilities needed 
for design of machining 
processes 
– Cutting forces, temperature, 
surface finish, processing 
instabilities, workpiece 
mechanical properties, etc.. 
– Johnson-Cook model typical 
• Focus in machining community 
has been on dynamics of 
process, fixturing, etc.. 
– Simple/empirical material models 
“Modified material constitutive models for serrated chip 
formation simulations and experimental validation in 
machining of titanium alloy Ti–6Al–4V” Sima and Özel 
2010 
“Severe plastic deformation (SPD) of titanium at 
near-ambient temperature” Shankar et al. 2006
..:: PMRC 
7 / 12 
Motivation 
• Development of physics-based 
microstructural sensitive models 
improves predictive capabilities 
– Greater control of manufacturing 
process 
– Design tool for engineers 
– Improved model confidence and 
range of applicability 
“A model of continuous dynamic recrystallization” 
Gourdet & Montheillet 2006 
“A Rate-Sensitive Plasticity-Based Model for Machining 
of Face-Centered Cubic Single-Crystals—Part I: Model 
Development” Kota et al. 2011
..:: PMRC 
[Regazzoni, et al., 1987] 
8 / 12 
Current Work 
Flow Stress 
Strengthening due to 
Dislocation Forests 
σρ 
Hall-Petch Equation Taylor’s Equation [Follansbee & Kocks, 1988] 
흈흆 = 휶흆푮풃 흆 
Strengthening due to 
Short Range Barriers 
σs 
흈풔 = 흈ퟎ ퟏ − 
풌푻 
품푮풃ퟑ 풍풏 
휺 ퟎ 
휺 
ퟏ 
풒 
ퟏ 
풑 
Strengthening due to 
Grain Boundaries 
σG 
흈푮 = 
풌푮 
푫 
Strengthening due to 
Viscous Drag 
σD 
흈푫 = 
푴푩 
흆풎풃ퟐ 휺 
흆 = Δ흆 푫푹푿 + 흆푯&푫푹 
Hardening & Dynamic Recovery 
풅흆 
풅휺 
= 푨 흆 − 푩 휺 , 푻 흆 
흆푯&푫푹 = 
푨 
푩 
+ 흆ퟎ − 
푨 
푩 
풆− 
푩휺 
ퟐ 
ퟐ 
Dynamic Recrystallization 
푫 = 푫풇 + 푫ퟎ − 푫풇 풕풂풏풉 
휺풓 
휺 
풖 
Δ흆 푫푹푿 = 풌 휺 , 푻 
ퟐ 
푫ퟎ 
− 
ퟐ 
푫 
[Estrin & Mecking, 1984] 
• Synopsis of the Unified Model 
 Phenomenological microstructure evolution laws
..:: PMRC 
9 / 12 
Current Work 
• Model calibrated using 
available data in literature 
– Limited to large-strain/low-rate 
and low-strain/high-rate 
data 
– Machining uniquely offers 
deformation to large strains 
and high rates 
Experimental data for CP-Ti: Nemat-Nasser, S., 
et al. (1999)
..:: PMRC 
10 / 12 
Current Work 
• Orthogonal cutting tests on 
CP-Ti Gr2 for model 
validation 
– Force measurement 
– Chip morphology 
characterization 
• Limited Microscopy 
– SEM images “featureless” 
– Working towards TEM sample 
prep
..:: PMRC 
11 / 12 
Future Work 
• Grain size characterization 
– Others have successfully used 
SEM-OIM techniques for refined 
microstructures in CP-Ti 
• Hardness measurements 
– Validation of model hardening 
prediction 
• Extension towards α-β Ti-6Al-4V 
– Homogenization challenges for 
dual phase material 
– Additional cutting tests & 
microscopy 
“Large strain deformation and ultra-fine grained 
material by machining” Swaminathan et al. 2005 
“Evolution of misorientation 
distribution during warm ‘abc’ forging 
of commercial-purity titanium” 
Mironov et al. 2006
..:: PMRC 
12 / 12 
Questions? 
Questions?

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Research overview

  • 1. ..:: PMRC Microstructure Sensitive Constitutive Modeling For Machining Applications 1 / 12 PI: Dr. Shreyes Melkote Post-Doc: Dr. Buddhika Jayasena GRAs: Rui Liu & Patxi Fernandez-Zelaia
  • 2. ..:: PMRC 2 / 12 Outline • Introduction • Motivation • Current Work • Future Work
  • 3. ..:: PMRC 3 / 12 Introduction • Machining processes often follow primary shaping • Industrial applications performed at high speeds – Improved finish – Decreased cutting forces – Decreased thermal effects – Improved production time • Orthogonal cutting used to study mechanics of process – Plane strain “Large Strain Deformation Field in Machining” Lee et al. 2006
  • 4. ..:: PMRC 4 / 12 Introduction • Large imposed strains under high rate deformation – upto ~105 s-1, ε=~1-15 – Large temperature rise • Thermo-mechanical loading induces microstructural evolution “On the Metal Physical Considerations in the Machining of Metals” Ramalingam & Black 1972 “Large strain deformation and ultra-fine grained material by machining” Swaminathan et al. 2005
  • 5. ..:: PMRC 5 / 12 Introduction • Significant work performed to study role of processing conditions on microstructure • Continuous DRX grain refinement mechanism associated with dislocation cell formation and LABHAB transition “A study of the interactive effects of strain, strain rate and temperature in severe plastic deformation of copper” Brown et al. 2009 “Large strain deformation and ultra-fine grained material by machining” Swaminathan et al. 2005 “Evolution of misorientation distribution during warm ‘abc’ forging of commercial-purity titanium” Mironov et al. 2006
  • 6. ..:: PMRC 6 / 12 Motivation • Predictive capabilities needed for design of machining processes – Cutting forces, temperature, surface finish, processing instabilities, workpiece mechanical properties, etc.. – Johnson-Cook model typical • Focus in machining community has been on dynamics of process, fixturing, etc.. – Simple/empirical material models “Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti–6Al–4V” Sima and Özel 2010 “Severe plastic deformation (SPD) of titanium at near-ambient temperature” Shankar et al. 2006
  • 7. ..:: PMRC 7 / 12 Motivation • Development of physics-based microstructural sensitive models improves predictive capabilities – Greater control of manufacturing process – Design tool for engineers – Improved model confidence and range of applicability “A model of continuous dynamic recrystallization” Gourdet & Montheillet 2006 “A Rate-Sensitive Plasticity-Based Model for Machining of Face-Centered Cubic Single-Crystals—Part I: Model Development” Kota et al. 2011
  • 8. ..:: PMRC [Regazzoni, et al., 1987] 8 / 12 Current Work Flow Stress Strengthening due to Dislocation Forests σρ Hall-Petch Equation Taylor’s Equation [Follansbee & Kocks, 1988] 흈흆 = 휶흆푮풃 흆 Strengthening due to Short Range Barriers σs 흈풔 = 흈ퟎ ퟏ − 풌푻 품푮풃ퟑ 풍풏 휺 ퟎ 휺 ퟏ 풒 ퟏ 풑 Strengthening due to Grain Boundaries σG 흈푮 = 풌푮 푫 Strengthening due to Viscous Drag σD 흈푫 = 푴푩 흆풎풃ퟐ 휺 흆 = Δ흆 푫푹푿 + 흆푯&푫푹 Hardening & Dynamic Recovery 풅흆 풅휺 = 푨 흆 − 푩 휺 , 푻 흆 흆푯&푫푹 = 푨 푩 + 흆ퟎ − 푨 푩 풆− 푩휺 ퟐ ퟐ Dynamic Recrystallization 푫 = 푫풇 + 푫ퟎ − 푫풇 풕풂풏풉 휺풓 휺 풖 Δ흆 푫푹푿 = 풌 휺 , 푻 ퟐ 푫ퟎ − ퟐ 푫 [Estrin & Mecking, 1984] • Synopsis of the Unified Model  Phenomenological microstructure evolution laws
  • 9. ..:: PMRC 9 / 12 Current Work • Model calibrated using available data in literature – Limited to large-strain/low-rate and low-strain/high-rate data – Machining uniquely offers deformation to large strains and high rates Experimental data for CP-Ti: Nemat-Nasser, S., et al. (1999)
  • 10. ..:: PMRC 10 / 12 Current Work • Orthogonal cutting tests on CP-Ti Gr2 for model validation – Force measurement – Chip morphology characterization • Limited Microscopy – SEM images “featureless” – Working towards TEM sample prep
  • 11. ..:: PMRC 11 / 12 Future Work • Grain size characterization – Others have successfully used SEM-OIM techniques for refined microstructures in CP-Ti • Hardness measurements – Validation of model hardening prediction • Extension towards α-β Ti-6Al-4V – Homogenization challenges for dual phase material – Additional cutting tests & microscopy “Large strain deformation and ultra-fine grained material by machining” Swaminathan et al. 2005 “Evolution of misorientation distribution during warm ‘abc’ forging of commercial-purity titanium” Mironov et al. 2006
  • 12. ..:: PMRC 12 / 12 Questions? Questions?

Notas del editor

  1. Industrial applications performed at high speeds Improved finish Decreased cutting forces Decreased thermal warping Improved production time Orthogonal cutting provides a simplified plane-strain model for studying machining mechanics
  2. Rates on order of rates achieved by Kolsky bar or plate impact testing. Strains much larger though.