PUBLICATIONS

Journal Articles

Updated May 9th, 2011

  1. J. Craig and R. Gracie, Using the extended finite element method for simulation of transient well leakage in multilayer aquifers. Advances in Water Resources, accepted 2011.(doi:10.1016/j.advwatres.2011.04.004)
  2. R. Gracie and T. Belytschko, Adaptive Continuum-Atomistic Simulations of Dislocation Dynamics. International Journal for Numerical Methods in Engineering, 2011.(doi:10.1002/nme.3112) .
  3. A. Zamani, R. Gracie and R. Eslami, Higher order tip enrichment of extended finite element method in thermoelasticity. Computational Mechanics, 46:6, 851-866, 2010 (doi:10.1007/s00466-010-0520-2) .
  4. R. Gracie and J.R. Craig, Modelling well leakage in multilayer aquifer systems using the extended finite element method. Finite Elements in Analysis and Design, 46(6):504-513, 2010 (doi:10.1016/j.finel.2010.01.006) .
  5. T. Rabczuk, R. Gracie, J-H. Song, and T. Belytschko, Immersed Particle Method for Fluid-Structure Interaction. International Journal for Numerical Methods in Engineering, 81(1):48-71, 2010 (doi:10.1002/nme.2670).
  6. M. Xu, R. Gracie and T. Belytschko, A Continuum-to-Atomistic Bridging Domain Method for Composite Lattices. International Journal for Numerical Methods in Engineering, 81(13):1635-1658, 2010. (doi:10.1002/nme.2745) .
  7. 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) Part of the Modelling and Simulation in Materials Science and Engineering's Highlights of 2009 collection
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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

Updated Feb. 9th, 2010

  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

Updated Feb. 9th, 2010

  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. A. Zamani, R. Gracie and M.Reza Eslami, A study of crack tip enrichment in steady state thermoelasticity. The Extended Finite Element Method - Recent Developments and Applications, Oct. 2009, Aachen, Germany.
  3. 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))
  4. 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)
  5. R. Gracie and T. Belytschko, On a new method for modelling dislocations. 21st Canadian Congress of Applied Mechanics, Toronto June 2007. (PDF)
  6. 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)
  7. 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
  8. 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)
  9. 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)