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Journal Publications

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(* denotes corresponding author)

  • In Preparation or Submitted

    • Journal Article: Y.C. Yoon and J.H. Song*, Extrinsic interface extended finite element method for moving weak discontinuity.

  • 2023

    • A. Almasi, Y.C. Yoon, T.Y. Kim, T. A. Laursen, J.H. Song*, A strong-form meshfree collocation method for modeling stationary cracks with frictional contact​​, International Journal of Non-Linear Mechanics 148: 10429 (2023). [DOI] [PDF]

  • 2022

    • A. Almasi, T.Y. Kim,and J.H. Song*, Strong form meshfree collocation method for frictional contact between a rigid pile and an elastic foundation. Engineering with Computers, (2022). (Special issue on Computational Modeling based on Nonlocal Theory) [DOI] [PDF]

  • 2021

    • A. Beel and J.H. Song*, Strong-form meshfree collocation method for multi-body thermomechanical contact, Engineering with Computers, (2021). (Special issue on Computational Modeling based on Nonlocal Theory) [DOI] [PDF]
    • P. Schaefferkoetter, J. G. Michopoulos and J.H. Song*, Strong-form meshfree collocation method for non-equilibrium solidification of multi-component alloy, Engineering with Computers, (2021). (Special issue on Computational Modeling based on Nonlocal Theory) [DOI] [PDF]
    • Y.C. Yoon* and J.H. Song*, Interface immersed particle difference method for weak discontinuity in elliptic boundary value problems, Computer Methods in Applied Mechanics and Engineering, 375: 113650 (2021). [DOI] [PDF]

  • 2020

    • S.H. Lee*, S.I. Park, A. Almasi, J.H. Song*, Extended IFC-based strong form meshfree collocation analysis of a bridge structure, Automation in Construction. 119: 103364 (2020). [DOI] [PDF]
    • I. Asareh, J.H. Song, R. L. Mullen and Y. Qian*, A general mass lumping scheme for the variants of the extended finite element method, International Journal for Numerical Methods in Engineering, 121: 2262-2284 (2020). [DOI] [PDF]
    • T.Y. Kim*, W. Jiang, S. Lee, J.H. Song and E.J. Park, A Nitsche-type variational formulation for the shape deformation of a single component vesicle, Computer Methods in Applied Mechanics and Engineering, 359: 112661 (2020). [DOI] [PDF]

  • 2019

    • A. Almasi, T.Y. Kim, T. A. Laursen, J.H. Song*, A strong form meshfree collocation method for frictional contact on a rigid obstacle, Computer Methods in Applied Mechanics and Engineering, 357: 112597 (2019). [DOI] [PDF]
    • A. Almasi, A. Beel, T.Y. Kim, J. G. Michopoulos and J.H. Song*, Strong form collocation method for solidification and mechanical analysis of polycrystalline materials, ASCE Journal of Engineering Mechanics, 145: 04019082 (2019). (Special issue on Recent Advances in Computational Methods in Engineering Mechanics) [DOI] [PDF]
    • I. Asareh and  J.H. Song*, Non-nodal extended finite element method (NXFEM) for modeling crack with four-node quadrilateral elements, ASCE Journal of Engineering Mechanics, 145: 04019081 (2019). (Special issue on Recent Advances in Computational Methods in Engineering Mechanics) [DOI] [PDF]
    • A. Beel, T.Y. Kim, W. Jiang and J.H. Song*, Strong form-based meshfree collocation method for wind-driven ocean circulation, Computer Methods in Applied Mechanics and Engineering, 351: 404-421 (2019). [DOI] [PDF]
    • Y.C. Yoon*, P. Schaefferkoetter, T. Rabczuk and J.H. Song*, New strong formulation for material nonlinear problems based on the particle difference method, Engineering Analysis with Boundary Elements, 98: 310–327 (2019). [DOI] [PDF]

  • 2018

    • I. Asareh, T.Y. Kim* and J.H. Song*, A linear complete extended finite element method for dynamic fracture simulation with non-nodal enrichments, Finite Elements in Analysis and Design, 152: 27-45 (2018). [DOI] [PDF]

    • I. Asareh, Y.C. Yoon and J.H. Song*, A numerical method for dynamic fracture using the extended finite element method with non-nodal enrichment parameters, International Journal of Impact Engineering, 121: 63-76 (2018). [DOI] [PDF]

    • K.C. Hoang, T.Y. Kim and J.H. Song*, Fast and accurate two-field reduced basis approximation for parametrized thermoelasticity problems, Finite Element Analysis and Design, 141: 96-118 (2018). [DOI] [PDF]

    • J.H. Song*, Y. Fu, T.Y. Kim, Y.C. Yoon, J.G. Michopoulos and T. Rabczuk, Phase field simulations of coupled microstructure solidification problems via the strong form particle difference method, International Journal of Mechanics and Materials in Design, 14: 491-509 (2018). [DOI] [PDF]

  • 2017

    • Y. Fu*, J.G. Michopoulos and J.H. Song*, On investigating the thermomechanical properties of cross-linked epoxy via molecular dynamics analysis, Nanoscale and Microscale Thermophysical Engineering, 21:8-25 (2017). [DOI] [PDF]

    • Y. Fu, J.G. Michopoulos and J.H. Song*, Bridging the multi-phase field model with the molecular dynamics for the solidification of nano-crystals, Journal of Computational Science, 20:187-197 (2017). [DOI] [PDF]

  • 2016

    • K.C. Hoang, Y. Fu, and J.H. Song*, An hp-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation, Computer Methods in Applied Mechanics and Engineering, 298: 548-575 (2016). [DOI] [PDF]

    • J. Lua*, T. Zhang, E. Fang and J.H. Song*, Explicit phantom paired shell element approach for crack branching and impact damage prediction of aluminum structures, International Journal of Impact Engineering, 87:28–43 (2016). [DOI] [PDF]

  • 2015

    • Y. Fu*, J.G. Michopoulos and J.H. Song*, Dynamic response of  polyethylene polymer nanocomposites to shock wave loading, Journal of Polymer Science, Part B: Polymer Physics, 53: 1292-1302 (2015). [DOI] [PDF]

    • Y. Fu*, J.G. Michopolous and J.H. Song*, Coarse-grained molecular dynamics simulations of epoxy resin during the curing process, Computational Materials Science, 107: 24-32 (2015). [DOI] [PDF]

    • Y. Fu* and J.H. Song*, Heat flux expressions that satisfy the conservation laws in atomistic system involving multibody potentials, Journal of Computational Physics, 294: 191–207 (2015). [DOI] [PDF]

    • Y. Fu and J.H. Song*, Large deformation mechanism of glassy polyethyelene polymer nanocomposites: coarse grain molecular dynamics study, Computational Materials Science, 96: 485-494 (2015). [DOI] [PDF]

    • A. Tabarraeia*, S. Shadaloua and J.H. Song, Mechanical properties of Graphene nanoribbons with disordered edges, Computational Materials Science, 96: 10-19 (2015). [DOI] [PDF]

  • 2014

    • A. Tabarraie*, X. Wang, A. Sadeghirad and J.H. Song, An enhanced bridging domain method for linking atomistic and continuum domains, Finite Elements in Analysis and Design, 92:36-49 (2014). [DOI] [PDF]

    • Y. Fu* and J.H. Song*, On computing stress in polymer systems involving multi-body potentials from molecular dynamics simulation, Journal of Chemical Physics, 141: 054108 (2014). [DOI] [PDF]

    • J.H. Song* and Y.C. Yoon, Multiscale failure analysis with coarse-grained micro cracks and damage, Theoretical and Applied Fracture Mechanics, 72: 100-109 (2014). [DOI] [PDF]

    • Y.C. Yoon* and J.H. Song*, Extended particle difference method for moving boundary problems, Computational Mechanics, 54:723–743 (2014).  [DOI] [PDF]

    • Y.C. Yoon* and J.H. Song, Extended particle difference method for weak and strong discontinuity problems: Part II. Formulations and applications for various interfacial singularity problems, Computational Mechanics, 53:1105-1128 (2014). [DOI] [PDF]

    • Y.C. Yoon and J.H. Song*, Extended particle difference method for weak and strong discontinuity problems: Part I. Derivation of the extended particle derivative approximation for the representation of weak and strong discontinuities, Computational Mechanics, 53:1087-1103 (2014). [DOI] [PDF]

  • 2013

    • A. Tabarraei, J.H. Song* and H. Waisman, Two-scale approach for modeling adiabatic shear band propagation under impact loads, International Journal for Multiscale Computational Engineering, 11: 543-563 (2013). [DOI] [PDF]

    • J.H. Song*, P. Lea and J. Oswald, Explicit dynamic finite element method for predicting implosion/explosion induced failure of shell structures, Mathematical Problems in Engineering, 2013: 957286 (2013). (Special issue on Computational Methods for Fracture) (Open access) [DOI] [PDF]

    • J.H. Song*, T. Menouillard and A. Tabarraei, Explicit dynamic finite element method for failure with smooth fracture energy dissipations, Mathematical Problems in Engineering, 2013: 293861 (2013). (Special issue on Computational Methods for Fracture) (Open access) [DOI] [PDF]

  • 2012

    • H. Nguyen-Vinh, I. Bakar, M.A. Msekh, J.H. Song, J. Muthu, G. Zi, P. Le, S. Bordas, R. Simpson, S. Natararajan, T. Lahmer and T. Rabczuk*, Extended finite element method for dynamic fracture of piezo-electric materials, Engineering Fracture Mechanics, 92:19-31 (2012). [DOI] [PDF]

    • O. Barkai, T. Menouillard, J.H. Song, T. Belytschko and D. Sherman*, Crack initiation and path selection in brittle specimens: a novel experimental method and computations, Engineering Fracture Mechanics, 89:65-74 (2012). [DOI] [PDF]

    • T. Chau-Dinh, G. Zi*, P.S. Lee, T. Rabczuk, and J.H. Song, Phantom-node method for shell models with arbitrary cracks, Computer & Structure, 92-93: 242-256 (2012). [DOI] [PDF]

  • 2010

    • T. Belytschko* and J.H. Song, Coarse-graining of multiscale crack propagation, International Journal for Numerical Methods in Engineering, 81:537–563 (2010). [DOI] [PDF]

    • T. Rabczuk, R. Gracie, J.H. Song and T. Belytschko*, Immersed particle method for fluid-structure interaction, International Journal for Numerical Methods in Engineering, 81:48–71 (2010). (Selected for the most cited article of the journal in 2012) [DOI] [PDF]

    • T. Menouillard, J.H. Song, Q. Duan and T. Belytschko*, Time dependent crack tip enrichment for dynamic crack propagation, International Journal of Fracture, 162: 33-49 (2010). [DOI] [PDF]

  • 2009

    • Q. Duan, J.H. Song, T. Menouillard and T. Belytschko*, Element-local level set method for three-dimensional dynamic crack growth, International Journal for Numerical Methods in Engineering, 80:1520–1543 (2009). [DOI] [PDF]

    • J.H. Song* and T. Belytschko, Multiscale aggregating discontinuities method for micro-macro failure of composites, Composite Part B: Engineering, 40:417-426 (2009). [DOI] [PDF]

    • J.H. Song* and T. Belytschko, Dynamic fracture of shells subjected to impulsive loads, Journal of Applied Mechanics –Transactions of the ASME, 76:051301 (2009). [DOI] [PDF]

    • T. Rabczuk, J.H. Song* and T. Belytschko, Simulations of instability in dynamic fracture by the cracking particles method, Engineering Fracture Mechanics, 76:730-741 (2009). [DOI] [PDF]

    • J.H. Song and T. Belytschko*, Cracking node method for dynamic fracture with finite elements, International Journal for Numerical Methods in Engineering, 77:360-385 (2009). [DOI] [PDF]

  • 2008

    • J.H. Song, H.W. Wang and T. Belytschko*, A comparative study on finite element methods for dynamic fracture, Computational Mechanics, 42:239-250 (2008). [DOI] [PDF]

    • T. Belytschko*, S. Loehnert and J.H. Song, Multiscale aggregating discontinuities: A method for circumventing loss of material stability, International Journal for Numerical Methods in Engineering, 73: 869-894 (2008). (Selected for the virtual issue honoring the work of Ted Belytschko, IJNME Editor Emeritus, in 2014) [DOI] [PDF]

  • 2006

    • J.H. Song, P.M.A. Areias and T. Belytschko*, A method for dynamic crack and shear band propagation with phantom nodes, International Journal for Numerical Methods in Engineering, 67: 868-893 (2006). [DOI] [PDF]

    • P.M.A. Areias, J.H. Song and T. Belytschko*, Analysis of fracture in thin shells by overlapping paired elements, Computer Methods in Applied Mechanics and Engineering, 195: 5343-5360 (2006). [DOI] [PDF]

  • 2005

    • P.M.A. Areias, J.H. Song and T. Belytschko*, A finite-strain quadrilateral shell element based on discrete Kirchhoff-Love constraints, International Journal for Numerical Methods in Engineering, 64: 1166-1206 (2005). [DOI] [PDF]

    • G. Zi*, J.H. Song and S.H. Lee, A new method for growing multiple cracks without remeshing and its application to fatigue crack growth, KSCE, Journal of the Korean Society of Civil Engineers, 25:183-190 (2005). (In Korean) [PDF]

  • 2004

    • G. Zi*, J.H. Song, E. Budyn, S.H. Lee and T. Belytschko, A new method for multiple cracks and its application to fatigue crack growth, Modeling and Simulations in Materials Science and Engineering, 12: 901-915 (2004). (Selected for the most downloaded article of the year in 2004 and included in the selected publications of Institute of Physics, IOP Journal) [DOI] [PDF]

    • S.H. Lee*, J.H. Song, Y.C. Yoon, G. Zi and T. Belytschko, Combined extended and superimposed finite element method for crack, International Journal for Numerical Methods in Engineering, 59: 1119-1136 (2004). [DOI] [PDF]

  • 2003

    • S.H. Lee*, J.H. Song and M.Y. Kim, Crack propagation analysis without mesh-dependency by using extended finite element method, KSCE, Journal of the Korean Society of Civil Engineers, 23: 1077-1086 (2003). (In Korean) [PDF]

Book

  • T. Rabczuk, J.H. Song, X. Zhuang and C. Anitescu, Extended Finite Element and Meshfree Methods, Academic Press, Elsevier, (2019). [Link]

Chapters in Book

  • T.Y. Kim, J.H. Song and T. A. Laursen, A strong form meshfree collocation method: engineering applications including frictional contact. Current Trends and Open Problems in Computational Mechanics, F. Aldakheel, B. Hudobivnik, M. Soleimani, H. Wessels, C. Weißenfels, M. Marino (Eds.), Springer (2022). [Link] [PDF]

  • J.G. Michopoulos, A. Iliopoulos, J. Steuben, A. Birnbaum, N. Apetre, J.H. Song, Y. Fu, A. Achuthan, R. Saunders, A. Bagchi, R. Fonda, D. Rowenhorst, S. Olig, F. Martin, J. Moran and A. Ntiros, Multiphysics Integrated Computational Materials Engineering Linking Additive Manufacturing Process Parameters with Part Performance. Advances in Computers and Information in Engineering Research, Volume 2. J.G. Michopoulos, C.J. Paredis, D.W. Rosen and J.M. Vance, JM. (Eds), ASME (2021). [Link] [PDF]

  • J.H. Song and T. Menouillard, Explicit dynamic finite element method for fracture of Shells, Computational Mechanics Research Trends: Computer Science, Technology and Applications, H. P. Berger (Eds.), Nova Science Publisher, pp. 291-317 (2010).

  • 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 held in Lyon, France 4-7 September 2006, A. Combescure, R. de Borst and T. Belytschko (Eds.), Springer, pp. 155-170 (2007). [Link] [PDF]

Conference Proceedings

  • T.Y. Kim, W. Jiang, S.M. Lee, J.H. Song and E.J. Park, Vesicle shape deformation using a discontinuous Galerkin method, Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics, 1886-1895 (2018). [PDF]

  • J. G. Michopoulos, A. Iliopoulos, J. Steuben, A. J. Birnbaum, Y. Fu and J.H. Song, Towards computational synthesis of microstructural crystalline morphologies for additive manufacturing applications, ASME. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 1: 37th Computers and Information in Engineering Conference: V001T02A030 (2017). [PDF]

  • S.H. Lee, J.H. Song and H.M. Seok, Combined extended and superimposed finite element method for crack analysis, Proceedings of Computational Structural Engineering Institute of Korea, 17(1): 341-348 (2004).  (In Korean)

  • S.H. Lee and J.H. Song, Development of crack analysis technique by using extended finite element method free from mesh-dependency, Proceedings of Computational Structural Engineering Institute of Korea, 15(2): 112- 119 (2002).  (In Korean)

  • S.H. Lee, J.H. Song and K.H. Leem, Modified stiffness matrix of reflecting the effect of local cracks, Proceedings of Computational Structural Engineering Institute of Korea, 15(1): 353-360 (2002).  (In Korean)

  • S.H. Lee, J.H. Song and Y.S. Jeong, Development of a finite element analysis data model for steel box girder bridges based on STEP part 104, Proceedings of Computational Structural Engineering Institute of Korea, 14(2): 193-200 (2001).  (In Korean)