Updated Oct, 2018
- Rivas, E., Parchei Esfahani, M.,& Gracie, R. A two-dimensional eXtended Finite Element Method model of Discrete Fracture Networks
International Journal for Numerical Methods in Engineering.
(link)
- Sarvaramini, E., Dusseault, MB, Komijani, M.,& Gracie, R. A Non-local Plasticity Model of Stimulated Volume
Evolution During Hydraulic Fracturing International Journal of Solids and Structures. (2018)
(link)
- Komijani, M., Sarvaramini, E., & Gracie, R.. Simulation of Induced Acoustic Emission in Fractured Porous Media.
Engineering Fracture Mechanics. (2018) (link)
- Komijani, M., & Gracie, R. Enriched Mixed Finite Element Models for Dynamic Analysis of Continuous and Fractured Porous Media.
Computer Methods in Applied Mechanics and Engineering. (2018)
(link)
- Sarvaramini, E., Dusseault, M., & Gracie, R. Characterizing the Stimulated Reservoir Volume during
Hydraulic Fracturing-Connecting the Pressure Fall-off Phase to the Geomechanics of Fracturing.
Journal of Applied Mechanics (2018)
(link)
- Larking, Gracie, Dusseault, & Krewski. Ensuring health and environmental protection
in hydraulic fracturing: a focus on British Columbia and Alberta, Canada The Extractive Industries and Society. (2018).
- Yetisir, M., Dusseault, MB, & Gracie, R.. On the homogenization and up-scaling of a discrete element model. Canadian Geotechnical Journal. (2018)
- Komijani, M., & Gracie, R.. An enriched finite element model for wave
propagation in fractured media Finite Elements in Analysis and Design 125 (2017): 14-23.
(link)
- Sarkarfarshi, A & Gracie, R. An adaptive response surface method for
continuous Bayesian model calibration. Stochastic Environmental Research and
Risk Assessment 31.3 (2017): 725-741.
(link)
- Komijani, M., and R. Gracie. Nonlinear thermo-electro-mechanical
dynamic behaviour of FGPM beams. Composite Structures 150 (2016): 208-218.
(link)
- Ghavam, K & Gracie, R. Simulation
of reactions between irradiation induced
a-loops and mixed dislocation lines in Zirconium
Reaction in Irradiated Zirconium. Journal
for Nuclear Materials. 462:126-134, 2015.
(link)
- Sarkarfarshi, A & Gracie, R. Unscented
Importance Sampling for Parameter Calibration
of Carbon Sequestration Systems. Stochastic
Environmental Research and Risk Assessment.
29(3):975-993, 2015.
(Accepted Version)
(link)
- Ladubec, C., Gracie, R., & Craig, J.
An XFEM Model for Carbon Sequestration.
International Journal for Numerical Methods
in Engineering. 102(3-4):316–331,2015.
(Accepted Version)
(link)
- Kapiturova, M., Gracie, R., & Potapenko,
S. Simulations of Cracks in a Cosserat
Medium Using the eXtended Finite Element
Method. Mathematics and Mechanics of
Solids, 21(5):621–635, 2016
(Uncorrected Copy)
(link)
- Sarkarfarshi, M., Malekzadeh, F., Gracie,
R., & Dusseault, M. Parametric Sensitivity
Analysis for CO2 Geosequestration.
International Journal of Greenhouse Gas
Control. 23:61-71, 2014.(link)
- Skiba, O., Gracie, R., & Potapenko S.
Electromechanical simulations of dislocations.
Modelling and Simulation in Materials Science
and Engineering. 035003, 2013.
(link)
- Budarapu, P.R.,Gracie, R., Yang,
S.W., Zhuang, X. & Rabczuk, T.
Efficient coarse graining in multiscale
modeling of fracture. Theoretical and
Applied Fracture Mechanics. 69:126-146,
2013.(link)
- Budarapu, P.R., Gracie, R., Bordas,
S.P.A. & Rabczuk, T. An Adaptive
Multiscale Method for Quasi-static Crack
Growth. Computational Mechanics. 1-20,
2013.
(link)
- A. Zamani, R. Gracie, and M. R. Eslami.
Cohesive and non‐cohesive fracture by
higher‐order enrichment of XFEM. International
Journal for Numerical Methods in Engineering
90.4 (2012): 452-483.
(link)
- J. Craig and R. Gracie, Using the
extended finite element method for simulation
of transient well leakage in multilayer
aquifers. Advances in Water Resources,
34:1207-1214, 2011.(doi:10.1016/j.advwatres.2011.04.004)
- 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)
.
- 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) .
- 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) .
- 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).
- 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) .
- 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
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
Updated Jan 19th, 2015
- Gracie, R. Multiscale Analysis with
XFEM, in XFEM
- The eXtended Finite Element Methods,
Eds. Bordas & A. Menk. Wiley. April 2015,
ISBN:978-0470667088
(link)
- Xu, M., Gracie, R. & Belytschko, T.
Concurrent Coupling of Atomistic and
Continuum Models in Multiscale Methods:
Bridging the Scales in Science and Engineering.
Ed. J. Fish. Oxford Press, 2010, ISBN: 978-0-19-923385-4
(PDF)
(link)
- Belytschko, T., Song,J.H., Wang, H.W.
& Gracie, R. On applications of XFEM
to dynamic fracture and dislocations in
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)
Updated Feb. 9th, 2010
- 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))
- 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.
- 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))
- 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)
- R. Gracie and T. Belytschko,
On a new method for modelling dislocations.
21st Canadian Congress of Applied Mechanics,
Toronto June 2007.
(PDF)
- 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)
- 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
- 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)
- 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)