Advertisement

The Development of the Material Point Method for Simulating Nonlocal Failure Evolution Involved in Multi-phase Interactions

  • Zhen ChenEmail author
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

The evolution of interfacial failure between different materials such as concrete and soil has the nonlocal feature. As a result, local constitutive models cannot predict the real physics associated with the interfacial failure evolution. Since its first journal paper was published in 1994, the Material Point Method (MPM, http://en.wikipedia.org/wiki/Material_Point_Method), which is a spatial discretization extension from computational fluid dynamics to solid dynamics, has evolved with applications to different areas in Simulation-Based Engineering Science (SBES). We are developing a particle-based computer test-bed for multiscale and multiphysics modeling and simulation to advance SBES, with a focus on the multiphase interactions involving failure evolution. In this conference, the very recent results in improving the MPM will be presented with applications to nonlocal failure events, and future research and development directions will be discussed to promote international collaboration.

Keywords

Nonlocal failure Interface Material point method 

References

  1. 1.
    Bazant, Z.P., Chen, E.P.: Scaling of structural failure. Appl. Mech. Rev. 50, 593–627 (1997)CrossRefGoogle Scholar
  2. 2.
    Chen, Z.: Continuous and discontinuous failure modes. J. Eng. Mech. 122, 80–82 (1996)CrossRefGoogle Scholar
  3. 3.
    Chen, Z., Jiang, S., Gan, Y., Liu, H., Sewell, T.D.: A particle-based multiscale simulation procedure within the material point method framework. Comput. Part. Mech. 1, 147–158 (2014)CrossRefGoogle Scholar
  4. 4.
    Chen, Z., Schreyer, H.L.: Simulation of soil-concrete interfaces with nonlocal constitutive models. J. Eng. Mech. 113(11), 1665–1677 (1987)CrossRefGoogle Scholar
  5. 5.
    Chen, Z., Schreyer, H.L.: On nonlocal damage models for interface problems. Int. J. Solids Struct. 31(9), 1241–1261 (1994)CrossRefGoogle Scholar
  6. 6.
    Chen, Z., Shen, L., Mai, Y.-W., Shen, Y.-G.: A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM. J. Appl. Math. Phys. (ZAMP) 56, 908–930 (2005)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Gan, Y., Sun, Z., Chen, Z., Zhang, X., Liu, Y.: Enhancement of the material point method using B-spline basis functions. Int. J. Numer. Meth. Eng. 113, 411–431 (2018)MathSciNetCrossRefGoogle Scholar
  8. 8.
    He, L., Gan, Y., Chen, Z.: Preliminary effort in developing the smoothed material point method for impact. Comp. Part. Mech. (2018, submitted)Google Scholar
  9. 9.
    Jiang, S., Chen, Z., Sewell, T.D., Gan, Y.: Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method. Comput. Meth. Appl. Mech. Eng. 297, 219–238 (2015)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Lu, M., Zhang, J., Zhang, H., Zheng, Y., Chen, Z.: Time-discontinuous material point method for transient problems. Comput. Meth. Appl. Mech. Eng. 328, 663–685 (2018)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Sulsky, D., Chen, Z., Schreyer, H.L.: A particle method for history-dependent materials. Comput. Meth. Appl. Mech. Eng. 118, 179–196 (1994)MathSciNetCrossRefGoogle Scholar
  12. 12.
    Tao, J., Zhang, H., Zheng, Y., Chen, Z.: Development of generalized interpolation material point method for simulating fully coupled thermomechanical failure evolution. Comput. Meth. Appl. Mech. Eng. 332, 325–342 (2018)MathSciNetCrossRefGoogle Scholar
  13. 13.
    Yang, P., Gan, Y., Zhang, X., Chen, Z., Qi, W., Liu, P.: Improved decohesion modeling with the material point method for simulating crack evolution. Int. J. Fract. 186, 177–184 (2014)CrossRefGoogle Scholar
  14. 14.
    Zhang, X., Chen, Z., Liu, Y.: The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases. Academic Press, Elsevier (2016)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringUniversity of MissouriColumbiaUSA
  2. 2.Department of Engineering Mechanics, Faculty of Vehicle Engineering and MechanicsDalian University of TechnologyDalianChina

Personalised recommendations