Parents

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Philip Gibson Hodge grad student 1968 Illinois Institute of Technology
 (Numerical methods for the limit analysis of plates)

Children

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Jacob Fish grad student Northwestern
Robert L. Mullen grad student 1976-1981 Northwestern
John Leicester Williams grad student 1979-1981 Northwestern
Shuji Usui grad student 2001 Northwestern
Marino Arroyo grad student 2003 Northwestern
John F. Chessa grad student 2003 Northwestern
Elisa R. Budyn grad student 2004 Northwestern
Jingxiao Xu grad student 2005 Northwestern
Chandu Parimi grad student 2006 Northwestern
Roopam Khare grad student 2008 Northwestern
Jeong-Hoon Song grad student 2008 Northwestern
Robert Gracie grad student 2009 Northwestern
Jay Oswald grad student 2011 Northwestern
Mei Xu grad student 2011 Northwestern
Philip Moseley grad student 2012 Northwestern
Patrick D. Lea grad student 2013 Northwestern
BETA: Related publications

Publications

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Zhao J, Bessa MA, Oswald J, et al. (2015) A method for modeling the transition of weak discontinuities to strong discontinuities: from interfaces to cracks International Journal For Numerical Methods in Engineering. 105: 834-854
Bessa MA, Foster JT, Belytschko T, et al. (2014) A meshfree unification: Reproducing kernel peridynamics Computational Mechanics. 53: 1251-1264
Liu Y, Filonova V, Hu N, et al. (2014) A regularized phenomenological multiscale damage model International Journal For Numerical Methods in Engineering. 99: 867-887
Duan Q, Gao X, Wang B, et al. (2014) Consistent element-free Galerkin method International Journal For Numerical Methods in Engineering. 99: 79-101
Moseley P, Oswald J, Belytschko T. (2013) Adaptive atomistic-continuum modeling of defect interaction with the debdm International Journal For Multiscale Computational Engineering. 11: 505-525
Liu Z, Oswald J, Belytschko T. (2013) XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites Wave Motion. 50: 389-401
Farhat C, Wang KG, Main A, et al. (2013) Dynamic implosion of underwater cylindrical shells: Experiments and Computations International Journal of Solids and Structures. 50: 2943-2961
Elkhodary KI, Steven Greene M, Tang S, et al. (2013) Archetype-blending continuum theory Computer Methods in Applied Mechanics and Engineering. 254: 309-333
Malhotra R, Xue L, Belytschko T, et al. (2012) Mechanics of fracture in single point incremental forming Journal of Materials Processing Technology. 212: 1573-1590
Xu M, Paci JT, Oswald J, et al. (2012) A constitutive equation for graphene based on density functional theory International Journal of Solids and Structures. 49: 2582-2589
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