Skip to main content
Log in

A seamless coupling between molecular dynamics and material point method

  • Original Paper
  • Area 3
  • Published:
Japan Journal of Industrial and Applied Mathematics Aims and scope Submit manuscript

Abstract

Nano-processes are gradually becoming more important than ever to realize the nano-metric cutting or nano-material formation. Although FEM and molecular dynamics (MD) are popular two analytical methods, they have their own limitations as used for nanoprocess simulation such as immense calculation time cost of MD, inappropriate governing equations of FE. To compensate the drawbacks of both methods and meet the demands on nanotechnology, multi-scale modeling approach is anticipated to provide a powerful analytical tool assuring materials simulation across length/time scale. In this paper one novel multi-scale simulation method combining the material point method (MPM) and MD by handshaking approach is proposed for nano-processes, i.e. nano-metric cutting and thin film formation. Quantitative assessment items: adhesion/cutting force, flatness and densification coefficient, etc. are provided to avoid drawbacks of current qualitative manner. Finally, various simulations are conducted to validate the efficiency of proposed multi-scale simulation approach and clarify the mechanism of nano-processes.

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.

Similar content being viewed by others

References

  1. Müller G., Deimal P.P., Hellmich W., Wagner C.: Sensor fabrication using thin film-on-silicon approaches. Thin Solid Films 296, 157 (1997)

    Article  Google Scholar 

  2. Hwang N., Hahan J., Yoon D.: Charged cluster model in the low pressure synthesis of diamond. J. Crystal Growth 162, 55–68 (1996)

    Article  Google Scholar 

  3. Chen H.W., Hagiwara I., Huang T., Zhang D.W.: Theoretical study on thin-film formation by parallel molecular dynamics simulation. Synth. Metals 155, 652–656 (2005)

    Article  Google Scholar 

  4. Chen H., Hagiwara I., Zhang D., Huang T.: Parallel molecular dynamics simulation on thin film formation. J. Crystal Growth 276, 281–288 (2005)

    Article  Google Scholar 

  5. Dornfeld D., Min S., Takeuchi Y.: Recent advances in mechanical micromachining. Ann CIRP 55(2), 745–768 (2006)

    Article  Google Scholar 

  6. Yan J., Strenkowski J.: A finite element analysis of orthogonal rubber cutting. J. Mater. Process. Technol. 174(1–3), 102–108 (2006)

    Article  Google Scholar 

  7. Mamalis A.G., Horvath M., Branis A.S., Manolakos D.E.: Finite element simulation of chip formation in orthogonal metal cutting. J. Mater. Process. Technol. 110, 19–27 (2001)

    Article  Google Scholar 

  8. Simoneau A., Ng E., Elbestawi M.A.: Chip formation during microscale cutting of a medium carbon steel. Int. J. Mach. Tools Manuf. 46, 467–481 (2006)

    Article  Google Scholar 

  9. Shiari B., Miller R.E., Klug D.D.: Multiscale simulation of material removal processes at the nanoscale. J. Mech. Phys. Solids 55, 2384–2405 (2007)

    Article  MATH  Google Scholar 

  10. Cheng K., Luo X., Ward R., Holt R.: Modelling and simulation of the tool wear in nanometric cutting. Wear 255(7–12), 1427–1432 (2003)

    Article  Google Scholar 

  11. Komanduri R., Chandrasekaran N., Raff L.M.: MD simulation of nanometric cutting of single crystal aluminium-effect of crystal orientation and direction of cutting. Wear 242, 60–88 (2000)

    Article  Google Scholar 

  12. Komanduri R., Chandrasekaran N., Raff L.M.: Orientation effects in nanometric cutting of single crystal materials: an MD simulation approach. Ann. CIRP 48, 67–72 (1999)

    Article  Google Scholar 

  13. Rafii-Tabar H., Hua L., Cross M.: A multi-scale atomistic continuum modelling of crack propagation in a two-dimensional macroscopic plate. J. Phys. Condens. Matter 10, 2357–2387 (1998)

    Article  Google Scholar 

  14. Liu X., Devor R.E., Kapoor S.G. et al.: The mechanics of machining at the microscale: assessment of the current state of the science. Trans. ASME J. Manuf. Sci. Eng. 126, 666–678 (2004)

    Article  Google Scholar 

  15. Bardenhagen S.G.: Energy conservation error in the material point method for solid mechanics. J. Comput. Phys. 180, 383–403 (2002)

    Article  MATH  Google Scholar 

  16. Daw M.S., Baskes M.I.: Embedded-atom method: derivation and application to impurities, surfaces, and other defects in metals. Phys. Rev. Lett. 29, 6443–6453 (1984)

    Google Scholar 

  17. Jackson M.J.: Micro and Nanomanufacturing. Springer, Berlin (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ichiro Hagiwara.

About this article

Cite this article

Chen, H., Hagiwara, I. & Tieu, A.K. A seamless coupling between molecular dynamics and material point method. Japan J. Indust. Appl. Math. 28, 55–67 (2011). https://doi.org/10.1007/s13160-011-0026-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13160-011-0026-0

Keywords

Navigation