2020

Hudson, Thomas E. (Edward), Peletier, Mark and van Meurs, Patrick (2020) Atomistic origins of continuum dislocation dynamics. Mathematical Models and Methods in Applied Sciences . doi:10.1142/S0218202520500505 (In Press)

Hudson, Thomas E. (Edward) and Li, Xingjie Helen (2020) Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism. Multiscale Modeling & Simulation: a SIAM Interdisciplinary Journal .

Buze, Maciej, Hudson, Thomas E. (Edward) and Ortner, Christoph (2020) Analysis of cell size effects in atomistic crack propagation. ESAIM: Mathematical Modelling and Numerical Analysis .

2019

Buze, Maciej, Hudson, Thomas E. (Edward) and Ortner, Christoph (2019) Analysis of an atomistic model for anti-plane fracture. Mathematical Models & Methods in Applied Sciences, 29 (13). pp. 2469-2521. doi:10.1142/S0218202519500520

Hudson, Thomas E. (Edward), Legoll, Frédéric and Lelièvre, Tony (2019) Stochastic homogenization for a scalar viscoelastic model exhibiting stress–strain hysteresis. ESAIM : M2AN .

Di Pasquale, Nicodemo, Hudson, Thomas E. (Edward) and Icardi, Matteo (2019) Systematic derivation of hybrid coarse-grained models. Physical Review E, 99 . 013303. doi:10.1103/PhysRevE.99.013303

2018

Hall, Cameron L., Hudson, Thomas E. (Edward) and van Meurs, Patrick (2018) Asymptotic analysis of boundary layers in a repulsive particle system. Acta Applicandae Mathematicae, 153 (1). pp. 1-54. doi:doi 10.1007/s10440-017-0119-0

2017

Hudson, Thomas E. (Edward) and Morandotti, Marco (2017) Properties of screw dislocation dynamics : time estimates on boundary and interior collisions. SIAM Journal on Applied Mathematics, 77 (5). pp. 1678-1705. doi:doi 10.1137/17M1119974

Hudson, Thomas (2017) Upscaling a model for the thermally-driven motion of screw dislocations. Archive for Rational Mechanics and Analysis, 224 (1). pp. 291-352. doi:10.1007/s00205-017-1076-5

2015

Hudson, Thomas and Ortner, Christoph (2015) Analysis of stable screw dislocation configurations in an antiplane lattice model. SIAM Journal on Mathematical Analysis, 47 (1). pp. 291-320. doi:10.1137/140964436

2014

Hudson, Thomas and Ortner, Christoph (2014) Existence and stability of a screw dislocation under anti-plane deformation. Archive for Rational Mechanics and Analysis, 213 (3). pp. 887-929. doi:10.1007/s00205-014-0746-9

2012

Hudson, Thomas and Ortner, Christoph (2012) On the stability of Bravais lattices and their Cauchy–Born approximations. ESAIM: Mathematical Modelling and Numerical Analysis, Volume 46 (Number 1). pp. 81-110. doi:10.1051/m2an/2011014