Skip to main content
Log in

Predictive modeling capabilities from incident powder and laser to mechanical properties for laser directed energy deposition

  • Original Paper
  • Published:
Computational Mechanics Aims and scope Submit manuscript

Abstract

This paper presents an overview of vertically integrated comprehensive predictive modeling capabilities for directed energy deposition processes, which have been developed at Purdue University. The overall predictive models consist of vertically integrated several modules, including powder flow model, molten pool model, microstructure prediction model and residual stress model, which can be used for predicting mechanical properties of additively manufactured parts by directed energy deposition processes with blown powder as well as other additive manufacturing processes. Critical governing equations of each model and how various modules are connected are illustrated. Various illustrative results along with corresponding experimental validation results are presented to illustrate the capabilities and fidelity of the models. The good correlations with experimental results prove the integrated models can be used to design the metal additive manufacturing processes and predict the resultant microstructure and mechanical properties.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Ramani K, Ramanujan D, Bernstein WZ, Zhao F, Sutherland J, Handwerker C, Choi JK, Kim H, Thurston D (2010) Integrated sustainable life cycle design: a review. J Mech Des 132(9):091004

    Article  Google Scholar 

  2. Smith J, Xiong W, Yan W, Lin S, Cheng P, Kafka OL, Wagner GJ, Cao J, Liu WK (2016) Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. Comput Mech 57(4):583–610

    Article  MATH  Google Scholar 

  3. Schoeffel K, Shin YC (2007) Laser cladding of two hardfacing alloys onto cylindrical low alloy steel substrates with a high power direct diode laser. In: ASME international conference on manufacturing science and engineering, 2007MREC-31112, Oct 15–18, Atlanta, GA

  4. Wilson JM, Shin YC (2012) Microstructure and wear properties of laser-deposited functionally graded Inconel 690 reinforced with TiC. Surf Coat Technol 207(25):517–522

    Article  Google Scholar 

  5. Hamed A, Tabakoff W, Wenglarz R (2006) Erosion and deposition in turbomachinery. J Propuls Power 22:350–360

    Article  Google Scholar 

  6. Piya C, Wilson JM, Murugappana S, Shin Y, Ramani K (2011) Virtual repair: geometric reconstruction for remanufacturing gas turbine blades. In: Proceedings of the ASME 2011 international design engineering technical conferences and design for manufacturing and the life cycle conference, IDETC/DFMLC 2011, Aug 29–31, Washington, DC, USA

  7. Wilson JM, Piya C, Shin YC, Zhao F, Ramani R (2014) Remanufacturing of turbine blades by laser direct deposition with its energy and environmental impact analysis. J Clean Prod 80(1):170–178

    Article  Google Scholar 

  8. Rozzi JC, Pfefferkorn FE, Incropera FP, Shin YC (1998) Transient thermal response of a rotating cylindrical silicon nitride workpiece subjected to translating laser heat source: part I—comparison of surface temperature measurements with theoretical results. Trans ASME J Heat Transf 120(4):899–906

    Article  Google Scholar 

  9. Rozzi JC, Incropera FP, Shin YC (1998) Transient thermal response of a rotating cylindrical silicon nitride workpiece subjected to translating laser heat source: part II—parametric effects and assessment of a simplified model. Trans ASME J Heat Transf 120(4):907–915

    Article  Google Scholar 

  10. Rozzi JC, Pfefferkorn FE, Incropera FP, Shin YC (2000) Transient, three-dimensional heat transfer model for the laser assisted machining of a silicon nitride ceramic: part I—comparison with measured surface temperature histories. Int J Heat Mass Transf 43:1409–1424

    Article  MATH  Google Scholar 

  11. Rozzi JC, Incropera FP, Shin YC (2000) Transient, three-dimensional heat transfer model for the laser assisted machining of a silicon nitride ceramic: part II—assessment of parametric effects. Int J Heat Mass Transf 43:1425–1437

    Article  MATH  Google Scholar 

  12. Pfefferkorn FE, Incropera FP, Shin YC (2005) Heat transfer model of semi-transparent ceramics undergoing laser-assisted machining. Int J Heat Mass Transf 48(10):1999–2012

    Article  Google Scholar 

  13. Tian Y, Shin YC (2006) Thermal modeling for laser-assisted machining of silicon nitride ceramics with complex features. Trans ASME J Manuf Sci Eng 128:425–434

    Article  Google Scholar 

  14. Tian Y, Wu BX, Shin YC (2008) Laser-assisted milling of silicon nitride and Inconel 718. Trans ASME J Manuf Sci Eng 130:031013

    Article  Google Scholar 

  15. Skvarenina S, Shin YC (2006) Predictive modeling of laser hardening of complex surfaces. Surf Coat Technol 201(6):2256–2269

    Article  Google Scholar 

  16. Patwa R, Shin YC (2007) Laser hardening of AISI5150H steels. Int J Mach Tools Manuf 47(2):307–320

    Article  Google Scholar 

  17. Lakhkar R, Shin YC, Krane M (2008) Predictive modeling of multi-track laser hardening of AISI 4140 steel. Mater Sci Eng A 480:209–217

    Article  Google Scholar 

  18. Wen S, Shin YC, Murthy JY, Sojka P (2009) Modeling of coaxial powder flow for the laser direct deposition process. Int J Heat Mass Transf 52(23–24):5867–5877

    Article  MATH  Google Scholar 

  19. Wen S, Shin YC (2010) Modeling of transport phenomena during the coaxial laser direct deposition process. J Appl Phys 108:044908

    Article  Google Scholar 

  20. Wen S, Shin YC (2011) Modeling of the laser direct deposition process by a high power direct diode laser. Trans ASME J Heat Transf 133(3):031007

    Article  Google Scholar 

  21. Bailey N, Tan W, Shin YC (2009) Predictive modeling and experimental results for residual stresses in laser hardening of AISI 4140 steel by a high power diode laser. Surf Coat Technol 203(14, 15):2003–2012

    Article  Google Scholar 

  22. Fu YC, Loredo A, Martin B, Vannes AB (2002) A theoretical model for laser and powder particles interaction during laser cladding. J Mater Process Technol 128:106–112,

    Article  Google Scholar 

  23. Han L, Liou FW, Phatak KM (2004) Modeling of laser cladding with powder injection. Metall Mater Trans B 35:1139–1150

    Article  Google Scholar 

  24. Pinkerton J, Li L (2004) An analytical model of energy distribution in laser metal deposition. Proc Inst Mech Eng B 218:363–374

    Article  Google Scholar 

  25. Han LJ, Phatak KM, Liou FW (2005) Modeling of laser deposition and repair process. J Laser Appl 17(2):89–99

    Article  Google Scholar 

  26. Katinas C, Shang W, Shin YC, Chen J (2017) Modeling particle spray for direct laser deposition using a four nozzle powder injection system. In: ASME international conference on manufacturing science and engineering, MSEC2017-2974, June 4–9, 2017, Los Angeles, California

  27. Lin J (1999) Concentration mode of the powder stream in coaxial laser cladding. Opt Laser Technol 31(3):251–257

    Article  MathSciNet  Google Scholar 

  28. Lin J (2000) Numerical simulation of the focused powder streams in coaxial laser cladding. J Mater Process Technol 105(1):17–23

    Article  Google Scholar 

  29. Pinkerton AJ, Li L (2002) A verified model of the axial powder stream concentration from a coaxial laser cladding nozzle. In: Proceedings of international congress on applications of lasers and electro-optics (ICALEO’02), Scottsdale, Arizona, U19SA CD

  30. Pinkerton AJ, Li L (2004) Modelling powder concentration distribution from a coaxial deposition from a coaxial deposition nozzle for laser-based rapid tooling. Trans ASME J Manuf Sci Eng 126(1):33–41

    Article  Google Scholar 

  31. Launder BE, Spalding DB (1972) Lectures in mathematical models of turbulence. Academic Press, London

    MATH  Google Scholar 

  32. Serag-Eldin MA, Spalding DB (1979) Computations of three-dimensional gas turbine combustion chamber. J Eng Power 101:327–336

    Article  Google Scholar 

  33. He X, Mazumder J (2007) Transport phenomena during direct metal deposition. J Appl Phys 101:053113

    Article  Google Scholar 

  34. Han L, Liou FW, Phatak KM (2004) Modeling of laser cladding with powder injection. Metall Mater Trans B 35:1139–1150

    Article  Google Scholar 

  35. Liu CY, Lin J (2003) Thermal processes of a powder particle in coaxial laser cladding. Opt Laser Technol 35(2):81–86

    Article  Google Scholar 

  36. Han LJ, Phatak KM, Liou FW (2005) Modeling of laser deposition and repair process. J Laser Appl 17(2):89–99

    Article  Google Scholar 

  37. Qi H, Mazumder J, Ki H (2006) Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition. J Appl Phys 100:024903

    Article  Google Scholar 

  38. Pinkerton AJ, Li L (2004) The development of temperature fields and powder flow during laser direct metal deposition wall growth. J Mech Eng Sci 218:531–541

    Article  Google Scholar 

  39. Pan H, Liou F (2005) Numerical simulation of metallic powder flow in a coaxial nozzle for the laser aided deposition process. J Mater Process Technol 168(2):230–244

    Article  Google Scholar 

  40. Pan H, Sparks T, Thakar YD, Liou F (2006) The investigation of gravity driven metal powder flow in coaxial nozzle for laser-aided direct metal deposition process. ASME J Manuf Sci Eng 128(2):541–553

    Article  Google Scholar 

  41. Choi J, Han L, Hua Y (2005) Modeling and experiments of laser cladding with droplet injection. Trans ASME J Manuf Sci Eng 127:978–986

    Google Scholar 

  42. Wen S, Shin YC (2009) Modeling of the off-axis high power diode laser (HPDL) cladding process. In: Proceedings of the ASME 2009 international manufacturing science and engineering conference, MSEC2009-84049, October 4–7, 2009, West Lafayette, IN, USA

  43. Tan W, Bailey N, Shin YC (2011) A novel integrated model combining cellular automata and phase field methods for microstructure evolution during solidification of multi-component and multi-phase alloys. Comput Mater Sci 50(9):2573–2585

    Article  Google Scholar 

  44. Wang W, Lee PD, Mclean M (2003) A model of solidification microstructures in nickel-based superalloys: predicting primary dendrite spacing selection. Acta Mater 51:2971–2987

    Article  Google Scholar 

  45. Kim SG, Kim WT, Suzuki T (1999) Phase-field model for binary alloys. Phys Rev E Stat Phys Plasmas Fluids 60:7186–7197

    Article  Google Scholar 

  46. Cha PR, Yeon DH, Yoon JK (2005) Phase-field model for multicomponent alloy solidification. J Cryst Growth 274:281–293

    Article  Google Scholar 

  47. Zhang R, Jing T, Jie W, Liu B (2006) Phase-field simulation of solidification in multicomponent alloys coupled with thermodynamic and diffusion mobility databases. Acta Mater 54:2235–2239

    Article  Google Scholar 

  48. Tan W, Wen S, Bailey N, Shin YC (2011) Multi-scale modeling of transport phenomena and dendritic growth in diode laser cladding process. Metall Mater Trans B 42(6):1306–1318

    Article  Google Scholar 

  49. Bailey NS, Tan W, Shin YC (2009) Predictive modeling and experimental results for residual stresses in laser hardening of AISI 4140 steel by a high power diode laser. Surf Coat Technol 203:2003–2012

    Article  Google Scholar 

  50. Zhao JZ, Mesplont C, De Cooman BC (2001) Kinetics of phase transformations in steels: a new method for analysing dilatometric results. ISIJ Int 41:492–497

    Article  Google Scholar 

  51. Zhao JZ, Mesplont C, De Cooman BC (2002) Quantitative analysis of the dilatation during an isothermal decomposition of austenites. Mater Sci Eng A 332:110–116

    Article  Google Scholar 

  52. Jung M, Lee S-J, Lee Y-K (2009) Microstructural and dilatational changes during tempering and tempering kinetics in martensitic medium-carbon steel. Metall Mater Trans A 40:551–559

    Article  Google Scholar 

  53. Jin L (2001) Simulation of quenching and temperaing of steels. Purdue University, West Lafayette

    Google Scholar 

  54. Bailey NS, Katinas C, Shin YC (2017) Laser direct deposition of AISI H13 tool steel powder with numerical modeling of solid phase transformation, hardness, and residual stresses. J Mater Process Technol 247:223–233

    Article  Google Scholar 

Download references

Acknowledgements

The research presented in this paper has been funded by National Science Foundation (Grant Nos: IIP-0538756, IIP-0917936, CMMI-1233783), State of Indiana through the 21st Century R&T Fund, and Industrial Consortium members of the Center for Laser-based Manufacturing.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yung C. Shin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shin, Y.C., Bailey, N., Katinas, C. et al. Predictive modeling capabilities from incident powder and laser to mechanical properties for laser directed energy deposition. Comput Mech 61, 617–636 (2018). https://doi.org/10.1007/s00466-018-1545-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00466-018-1545-1

Keywords

Navigation