Computational Mechanics Research Group

Big Bend


Robert Gracie, Ph.D.
Assistant Professor
Department of Civil and Environment engineering
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519-888-4567 x 38827
rgracie@cee.uwaterloo.ca

 



Page Map

Current Research

Education

Experience

Research Engineer: 2002-2004

Natural Resources Canada, Government of Canada
Ottawa, ON.

Awards

Professional Service

Journal Publications

  1. T. Rabczuk, R. Gracie, J-H. Song, and T. Belytschko, Immersed Particle Method for Fluid-Structure Interaction. International Journal for Numerical Methods in Engineering, (accepted 2009) .

  2. M. Xu, R. Gracie and T. Belytschko, A Continuum-to-Atomistic Bridging Domain Method for Composite Lattices. International Journal for Numerical Methods in Engineering, (accepted 2009) .

  3. T. Belytschko, R. Gracie, and G. Ventura, A Review of the Extended/Generalized Finite Element Methods for Material Modelling. Modelling and Simulation in Materials Science and Engineering,17:043001, 2009 . (Submitted Version) (doi: 10.1088/0965-0393/17/4/043001)

  4. R. Gracie, and T. Belytschko, Concurrently Coupled Atomistic and XFEM Models for Dislocations and Cracks. International Journal for Numerical Methods in Engineering, 78(3): 354 - 378, 2009. (PDF) (doi: 10.1002/nme.2488)

  5. J. Oswald, R. Khare, R. Gracie, and T. Belytschko, An Extended Finite Element Method for Dislocations in Complex Geometries: Thin Films and Nanotubes. Computer Methods in Applied Mechanics and Engineering, 198(21):1872-1886, 2009. (preprint PDF) (doi: 10.1016/j.cma.2008.12.025)

  6. G. Ventura, R. Gracie, and T. Belytschko, Fast integration and weight function blending in the extended finite element method. International Journal for Numerical Methods in Engineering, 77(1):1-29, 2009. (PDF) (doi: 10.1002/nme.2387)

  7. R. Gracie, H.W. Wang, and T. Belytschko, Blending in the eXtended Finite Element Method by Discontinuous Galerkin and Assumed Strain Methods. International Journal for Numerical Methods in Engineering, 74(11): 1645-1669, 2008. (PDF) (doi: 10.1002/nme.2217)

  8. R. Gracie, J. Oswald, and T. Belytschko, On a new extended finite element method for dislocations: core enrichments. Journal of Mechanics and Physics of Solids, 56:200-214, 2008. (PDF) (doi: 10.1016/j.jmps.2007.07.010)

  9. T. Belytschko and R. Gracie, On XFEM applications to dislocations and interfaces. International Journal of Plasticity. 23(10-11):1721-1738, 2007. (PDF) (doi: 10.1016/j.ijplas.2007.03.003)

  10. R. Gracie, G. Ventura, and T. Belytschko. A new fast method for dislocations based on interior discontinuities. International Journal for Numerical Methods in Engineering, 69:423-441, 2007. (PDF) (doi: 10.1002/nme.1896)

  11. Konuk, I. and R. Gracie A three-dimensional Eulerian finite-element model for ice scour. Journal of Pipeline Integrity. 3(4):207-220, 2004. (link)

  12. R. Gracie, I. Konuk and F. Abdelfettah, An FEM analysis of the impact of external objects on pipelines. Journal Pipeline Integrity 2(4):241-250, 2003. (link)

Book Chapters

  1. M. Xu, R. Gracie, and T. Belytschko. Concurrent Coupling of Atomistic and Continuum Models, Multiscale Methods: Bridging the Scales in Science and Engineering. Ed. J. Fish. Oxford Press, (in press) ISBN: 978-0-19-923385-4 (PDF) (link)

  2. T. Belytschko, J.H. Song, H.W. Wang and R. Gracie. On applications of XFEM to dynamic fracture and dislocations, IUTAM Symposium on Discretization Methods for Evolving Discontinuities. Proceedings of the IUTAM Symposium: Lyon, France, 2006. Ed. A. Combescure, R. de Borst, T. Belytschko, Vol. 5, 2007, ISBN: 978-1-4020-6529-3 (link)

Conference Publications

  1. R. Gracie and T. Belytschko, An Extended Bridging Domain Method for Continuum-Atomistic Simulations of Discontinuities. 8th World Congress on Computational Mechanics, Venice July 2008. (PDF version of my presentation (23MB))

  2. R. Gracie and T. Belytschko, 2D dislocations modelled by interior discontinuities in a Discontinuous Galerkin method. 9th US National Congress on Computational Mechanics (USNCCM), San Francisco, July 2007. (PDF)

  3. R. Gracie and T. Belytschko, On a new method for modelling dislocations. 21st Canadian Congress of Applied Mechanics, Toronto June 2007. (PDF)

  4. R. Gracie and T. Belytschko, An assumed strain blending element formulation for linear elastic fracture mechanics. 7th World Congress on Computational Mechanics, Los Angeles July 2006. (PDF)

  5. I. Konuk, S. Yu, and R. Gracie, A 3-dimensional continuum ALE model for ice scour - study of trench effects. Proceedings of the 24th International Conference on Offshore Mechanics and Arctic Engineering, Halkidiki, Greece, June 2005. (PDF) Awarded Best Paper

  6. I. Konuk, S. Yu, and R. Gracie, An ALE FEM Model of Ice Scour. Proceeding of the 11th International Conference of the International Association of Computer Methods and Advances in Geomechanics, Turin, Italy, June 19-21, 2005. (PDF)

  7. I. Konuk, and R. Gracie, A 3-Dimensional Eulerian FE Model for Ice Scour. International Pipeline Conference, Calgary, Alberta, October 2004, paper IPC04-0075. (link)

Collaborators