**Book, Chapters**

- Michael Tonks, KW Chase and CC Smith, 2007,
*Predicting deformation of compliant assemblies using covariant statistical tolerance analysis*, Springer Netherlands, pp. 321–330

**Journal Articles**

- L. Zhao, P. Chakraborty, Michael Tonks and I. Szlufarska, 2017, "On the plastic driving force of grain boundary migration: A fully coupled phase field and crystal plasticity model", Computational Materials Science,
**128**, pp. 320 - 330

- GA Vetterick, O El-Atwani, J Kevin Baldwin, Michael Tonks and ML Taheri, 2016, "Quantification of void pinning effects during grain growth of nanocrystalline iron", Journal of Nuclear Materials,
**481**, pp. 62–65

- Jacob Bair, Mohsen Asle Zaeem and Michael Tonks, 2016, "A phase-field model to study the effects of temperature change on shape evolution of ?-hydrides in zirconium", Journal of Physics D: Applied Physics,
**49**, (40)

- Yongfeng Zhang, Xian-Ming Bai, Jianguo Yu, Michael Tonks, Mark J Noordhoek and Simon R Phillpot, 2016, "Homogeneous hydride formation path in a-Zr: Molecular dynamics simulations with the charge-optimized many-body potential", Acta Materialia,
**111**, pp. 357–365

- Xian-Ming Bai, Michael Tonks, Yongfeng Zhang and Jason D Hales, 2016, "Multiscale modeling of thermal conductivity of high burnup structures in UO2 fuels", Journal of Nuclear Materials,
**470**, pp. 208–215

- Cody J Permann, Michael Tonks, Bradley Fromm and Derek R Gaston, 2016, "Order parameter re-mapping algorithm for 3D phase field model of grain growth using FEM", Computational Materials Science,
**115**, pp. 18–25

- Michael Tonks, Xiang-Yang Liu, David Andersson, Danielle Perez, Aleksandr Chernatynskiy, Giovanni Pastore, Christopher R Stanek and Richard Williamson, 2016, "Development of a multiscale thermal conductivity model for fission gas in UO2", Journal of Nuclear Materials

- Pritam Chakraborty, Yongfeng Zhang and Michael Tonks, 2016, "Multi-scale modeling of microstructure dependent intergranular brittle fracture using a quantitative phase-field based method", Computational Materials Science,
**113**, pp. 38–52

- Jacob Bair, Mohsen Asle Zaeem and Michael Tonks, 2015, "A review on hydride precipitation in zirconium alloys", Journal of Nuclear Materials,
**466**, pp. 12–20

- J. D. Hales, Michael Tonks, F. N. Gleicher, B. W. Spencer, S. R. Novascone, R. L. Williamson, G. Pastore and D. M. Perez, 2015, "Advanced multiphysics coupling for LWR fuel performance analysis", Annals of Nuclear Energy,
**84**, pp. 98-110

- Derek R. Gaston, Cody J. Permann, John W. Peterson, Andrew E. Slaughter, David Andrs, Yaqi Wang, Michael P. Short, Danielle M. Perez, Michael Tonks, Javier Ortensi, L. Zou and R. C. Martineau, 2015, "Physics-based multiscale coupling for full core nuclear reactor simulation", Annals of Nuclear Energy,
**84**, pp. 45-54

- David A Andersson, Michael Tonks, Luis Casillas, Shyam Vyas, Pankaj Nerikar, Blas P Uberuaga and Christopher R Stanek, 2015, "Multiscale simulation of xenon diffusion and grain boundary segregation in UO2", Journal of Nuclear Materials,
**462**, pp. 15–25

- Michael Tonks, Yongfeng Zhang, Aaron Butterfield and Xian-Ming Bai, 2015, "Development of a grain boundary pinning model that considers particle size distribution using the phase field method", Modelling and Simulation in Materials Science and Engineering,
**23**, (4), pp. 045009

- Yongfeng Zhang, Paul C Millett, Michael Tonks, Xian-Ming Bai and S Bulent Biner, 2015, "Preferential Cu precipitation at extended defects in BCC Fe: An atomistic study", Computational Materials Science,
**101**, pp. 181–188

- JD Hales, Michael Tonks, K Chockalingam, DM Perez, Novascone, SR, BW Spencer and RL Williamson, 2015, "Asymptotic expansion homogenization for multiscale nuclear fuel analysis", Computational Materials Science,
**99**, pp. 290–297

- Yongfeng Zhang, Xian-Ming Bai, Michael Tonks and S. Bulent Biner, 2015, "Formation of prismatic loops from C15 Laves phase interstitial clusters in body-centered cubic iron", Scripta Materialia,
**98**, pp. 5–8

- Xian-Ming Bai, Yongfeng Zhang and Michael Tonks, 2015, "Testing thermal gradient driving force for grain boundary migration using molecular dynamics simulations", Acta Materialia,
**85**, pp. 95–106

- Melissa C. Teague, Bradley S. Fromm, Michael Tonks and David P. Field, 2014, "Using coupled mesoscale experiments and simulations to investigate high burn-up oxide fuel thermal conductivity", JOM,
**66**, (12), pp. 2569–2577

- Pritam Chakraborty, Michael Tonks and Giovanni Pastore, 2014, "Modeling the influence of bubble pressure on grain boundary separation and fission gas release", Journal of Nuclear Materials,
**452**, (1), pp. 95–101

- Yongfeng Zhang, Paul C. Millett, Michael Tonks, Xian-Ming Bai and S. Bulent Biner, 2014, "Molecular dynamics simulations of intergranular fracture in UO2 with nine empirical interatomic potentials", Journal of Nuclear Materials,
**452**, (1), pp. 296–303

- D. A. Andersson, P. Garcia, X.-Y. Liu, G. Pastore, Michael Tonks, P. Millett, B. Dorado, D. R. Gaston, D. Andrs, R. L. Williamson, R. C. Martineau, B. P. Uberuaga and C. R. Stanek, 2014, "Atomistic modeling of intrinsic and radiation-enhanced fission gas (Xe) diffusion in UO2+-x: Implications for nuclear fuel performance modeling", Journal of Nuclear Materials,
**451**, (1), pp. 225–242

- Melissa Teague, Michael Tonks, Stephen Novascone and Steven Hayes, 2014, "Microstructural modeling of thermal conductivity of high burn-up mixed oxide fuel", Journal of Nuclear Materials,
**444**, (1), pp. 161–169

- Michael Tonks, Yongfeng Zhang, Xianming Bai and Paul C. Millett, 2014, "Demonstrating the temperature gradient impact on grain growth in UO2 using the phase field method", Materials Research Letters,
**2**, (1), pp. 23–28

- Xian-Ming Bai, Yongfeng Zhang and Michael Tonks, 2013, "Strain effects on oxygen transport in tetragonal zirconium dioxide", Physical Chemistry Chemical Physics,
**15**, (44), pp. 19438–19449

- Paul C. Millett, Yongfeng Zhang, Michael Tonks and S. B. Biner, 2013, "Consideration of grain size distribution in the diffusion of fission gas to grain boundaries", Journal of Nuclear Materials,
**440**, (1), pp. 435–439

- Michael Tonks, Paul C. Millett, Pankaj Nerikar, Shiyu Du, David Andersson, Christopher R. Stanek, Derek Gaston, David Andrs and Richard Williamson, 2013, "Multiscale development of a fission gas thermal conductivity model: Coupling atomic, meso and continuum level simulations", Journal of Nuclear Materials,
**440**, (1), pp. 193–200

- Paul C. Millett, Michael Tonks, K. Chockalingam, Yongfeng Zhang and S. B. Biner, 2013, "Three dimensional calculations of the effective Kapitza resistance of UO2 grain boundaries containing intergranular bubbles", Journal of Nuclear Materials,
**439**, (1), pp. 117–122

- K. Chockalingam, Michael Tonks, J. D. Hales, D. R. Gaston, P. C. Millett and Liangzhe Zhang, 2013, "Crystal plasticity with Jacobian-Free Newton–Krylov", Computational Mechanics,
**51**, (5), pp. 617–627

- Liangzhe Zhang, Michael Tonks, Derek Gaston, John W. Peterson, David Andrs, Paul C. Millett and Bulent S. Biner, 2013, "A quantitative comparison between C0 and C1 elements for solving the Cahn–Hilliard equation", Journal of Computational Physics,
**236**, pp. 74–80

- Michael Tonks, Yongfeng Zhang, S. B. Biner, Paul C. Millett and Xianming Bai, 2013, "Guidance to design grain boundary mobility experiments with molecular dynamics and phase-field modeling", Acta Materialia,
**61**, (4), pp. 1373–1382

- Paul C. Millett, Yongfeng Zhang, DA Andersson, Michael Tonks and SB Biner, 2012, "Random-walk Monte Carlo simulation of intergranular gas bubble nucleation in UO2 fuel", Journal of Nuclear Materials,
**430**, (1), pp. 44–49

- Yongfeng Zhang, Xiang-Yang Liu, Paul C. Millett, Michael Tonks, David A. Andersson and Bulent Biner, 2012, "Crack tip plasticity in single crystal UO 2: Atomistic simulations", Journal of Nuclear Materials,
**430**, (1), pp. 96–105

- K. Chockalingam, Paul C. Millett and Michael Tonks, 2012, "Effects of intergranular gas bubbles on thermal conductivity", Journal of Nuclear Materials,
**430**, (1), pp. 166–170

- Y. Zhang, P. C. Millett, Michael Tonks and S. B. Biner, 2012, "Deformation twins in nanocrystalline body-centered cubic Mo as predicted by molecular dynamics simulations", Acta Materialia,
**60**, (18), pp. 6421-6428

- Derek Gaston, Luanjing Guo, Glen Hansen, Hai Huang, Richard Johnson, HyeongKae Park, Robert Podgorney, Michael Tonks and R. Williamson, 2012, "Parallel algorithms and software for nuclear, energy, and environmental applications. Part II: Multiphysics algorithms", Communications in Computational Physics,
**12**, (3), pp. 807-833

- Derek Gaston, Luanjing Guo, Glen Hansen, Hai Huang, Richard Johnson, Dana Knoll, Chris Newman, HyeongKae Park, Robert Podgorney, Michael Tonks and R. Williamson, 2012, "Parallel algorithms and software for nuclear, energy, and environmental applications. Part II: Multiphysics software", Communications in Computational Physics,
**12**, (3), pp. 834-865

- Yongfeng Zhang, Paul C. Millett, Michael Tonks, Liangzhe Zhang and Bulent Biner, 2012, "Molecular dynamics simulations of He bubble nucleation at grain boundaries", Journal of Physics: Condensed Matter,
**24**, (30), pp. 305005

- Paul C Millett, Michael Tonks, SB Biner, Liangzhe Zhang, K Chockalingam and Yongfeng Zhang, 2012, "Phase-field simulation of intergranular bubble growth and percolation in bicrystals", Journal of Nuclear Materials,
**425**, (1), pp. 130–135

- Paul C. Millett, Michael Tonks and S. B. Biner, 2012, "Grain boundary percolation modeling of fission gas release in oxide fuels", Journal of Nuclear Materials,
**424**, (1), pp. 176–182

- R. L. Williamson, J. D. Hales, S. R. Novascone, Michael Tonks, D. R. Gaston, C. J. Permann, D. Andrs and R. C. Martineau, 2012, "Multidimensional multiphysics simulation of nuclear fuel behavior", Journal of Nuclear Materials,
**423**, (1), pp. 149–163

- Liangzhe Zhang, Michael Tonks, Paul C. Millett, Yongfeng Zhang, Karthikeyan Chockalingam and Bulent Biner, 2012, "Phase-field modeling of temperature gradient driven pore migration coupling with thermal conduction", Computational Materials Science,
**56**, pp. 161–165

- Paul C. Millett, Michael Tonks and S. B. Biner, 2012, "Mesoscale modeling of intergranular bubble percolation in nuclear fuels", Journal of Applied Physics,
**111**, (8), pp. 083511

- Yongfeng Zhang, Hanchen Huang, Paul C. Millett, Michael Tonks, Dieter Wolf and Simon R. Phillpot, 2012, "Atomistic study of grain boundary sink strength under prolonged electron irradiation", Journal of Nuclear Materials,
**422**, (1), pp. 69–76

- J. D. Hales, Novascone, SR, R. L. Williamson, D. R. Gaston and Michael Tonks, 2012, "Solving nonlinear solid mechanics problems with the Jacobian-free Newton Krylov method", Computer Modeling in Engineering & Sciences(CMES),
**84**, (2), pp. 123–153

- Michael Tonks, Derek Gaston, Paul C. Millett, David Andrs and Paul Talbot, 2012, "An object-oriented finite element framework for multiphysics phase field simulations", Computational Materials Science,
**51**, (1), pp. 20–29

- Yongfeng Zhang, Paul C. Millett, Michael Tonks and Bulent Biner, 2012, "Deformation-twin-induced grain boundary failure", Scripta Materialia,
**66**, (2), pp. 117–120

- Yongfeng Zhang, Paul C. Millett and Michael Tonks, 2011, "Energetics and diffusional properties of He in BCC Mo: An empirical potential for molecular dynamics simulations", Computational Materials Science,
**50**, (11), pp. 3224–3229

- Paul C. Millett and Michael Tonks, 2011, "Application of phase-field modeling to irradiation effects in materials", Current Opinion in Solid State and Materials Science,
**15**, (3), pp. 125–133

- Paul C. Millett and Michael Tonks, 2011, "Phase-field simulations of gas density within bubbles in metals under irradiation", Computational Materials Science,
**50**, (7), pp. 2044 - 2050

- Michael Tonks and Paul Millett, 2011, "Phase field simulations of elastic deformation-driven grain growth in 2D copper polycrystals", Materials Science and Engineering: A,
**528**, (12), pp. 4086–4091

- Paul C. Millett and Michael Tonks, 2011, "Meso-scale modeling of the influence of intergranular gas bubbles on effective thermal conductivity", Journal of Nuclear Materials,
**412**, (3), pp. 281–286

- Paul C Millett, Anter El-Azab, Srujan Rokkam, Michael Tonks and Dieter Wolf, 2011, "Phase-field simulation of irradiated metals: Part I: Void kinetics", Computational materials science,
**50**, (3), pp. 949–959

- Michael Tonks, Paul Millett, Wei Cai and Dieter Wolf, 2010, "Analysis of the elastic strain energy driving force for grain boundary migration using phase field simulation", Scripta Materialia,
**63**, (11), pp. 1049–1052

- Michael Tonks, Derek Gaston, Cody Permann, Paul Millett, Glen Hansen and Dieter Wolf, 2010, "A coupling methodology for mesoscale-informed nuclear fuel performance codes", Nuclear Engineering and Design,
**240**, (10), pp. 2877–2883

- Tapan G. Desai, Paul Millett, Michael Tonks and Dieter Wolf, 2010, "Atomistic simulations of void migration under thermal gradient in UO2", Acta Materialia,
**58**, (1), pp. 330–339

- Paul C. Millett, Srujan Rokkam, Anter El-Azab, Michael Tonks and Dieter Wolf, 2009, "Void nucleation and growth in irradiated polycrystalline metals: A phase-field model", Modelling and Simulation in Materials Science and Engineering,
**17**, (6), pp. 064003

- Michael Tonks, John F. Bingert, Curt A. Bronkhorst, Eric N. Harstad and Daniel A. Tortorelli, 2009, "Two stochastic mean-field polycrystal plasticity methods", Journal of the Mechanics and Physics of Solids,
**57**, (8), pp. 1230–1253

- Michael Tonks, G Hansen, D Gaston, C Permann, P Millett and D Wolf, 2009, "Fully-coupled engineering and mesoscale simulations of thermal conductivity in UO2 fuel using an implicit multiscale approach", Journal of Physics: Conference Series,
**180**, (1), pp. 012078

- Michael Tonks, A. J. Beaudoin, Frank Schilder and D. A. Tortorelli, 2008, "Investigation of preferred orientations in planar polycrystals", Journal of Applied Mechanics,
**75**, (5), pp. 051001

- Michael Tonks, E. N. Harstad, P. F. Maudlin and C. P. Trujillo, 2008, "A design of inverse Taylor projectiles using material simulation", Modelling and Simulation in Materials Science and Engineering,
**16**, pp. 015005

**Conference Proceedings**

- Michael Tonks and Ken W Chase, 2004, "Covariance modeling method for use in compliant assembly tolerance analysis", ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. 49–55