Selected publications featuring results obtained using MoFEM

Selected journal publications

1. David Lockington, Gordon Brown, Chris J. Pearce, and Łukasz Kaczmarczyk, 2024. Evaluating the forces involved in bubble management in DMEK surgery: mathematical and computational model with clinical implications. Journal of Cataract & Refractive Surgery50(1), p 78-83. doi: https://doi.org/10.1097/j.jcrs.0000000000001309

2. Karol Lewandowski, Daniele Barbera, Paul Blackwell, Amir H. Roohi, Ignatios Athanasiadis, Andrew McBride, Paul Steinmann, Chris J. Pearce, Łukasz Kaczmarczyk, 2023. Multifield finite strain plasticity: Theory and numerics. Computer Methods in Applied Mechanics and Engineering,414, p.116101. doi: https://doi.org/10.1016/j.cma.2023.116101

3. Ignatios Athanasiadis, Andrei G. Shvarts, Zahur Ullah, Karol Lewandowski, Chris J. Pearce, Łukasz Kaczmarczyk, 2023. A computational framework for crack propagation along contact interfaces and surfaces under load. Computer Methods in Applied Mechanics and Engineering,414, p.116129. doi: https://doi.org/10.1016/j.cma.2023.116129

4. Mebratu F. Wakeni, Ankush Aggarwal, Łukasz Kaczmarczyk, Andrew T. McBride, Ignatios Athanasiadis, Chris J. Pearce, Paul Steinmann, 2022. A p-adaptive, implicit-explicit mixed finite element method for diffusion-reaction problems. International Journal for Numerical Methods in Engineering,123(14), pp.3237-3263. doi: https://doi.org/10.1002/nme.6967

5. Karol Lewandowski, Łukasz Kaczmarczyk, Ignatios Athanasiadis, John F. Marshall, and Chris J. Pearce, 2021. A computational framework for crack propagation in spatially heterogeneous materials. Philosophical Transactions of the Royal Society A,379(14), p.20200291.. doi: https://doi.org/10.1098/rsta.2020.0291

6. Łukasz Kaczmarczyk, Hoang Nguyen, Zahur Ullah, Mebratu Wakeni, and Chris J. Pearce, 2020. Solid shell prism elements based on hierarchical, heterogeneous, and anisotropic shape functions. arXiv preprint arXiv:2010.08799 doi: https://doi.org/10.48550/arXiv.2010.08799

7. Łukasz Kaczmarczyk, Zahur Ullah, Karol Lewandowski, Xua Meng, Xiao-Yi Zhou, Ignatios Athanasiadis, Hoang Nguyen, Christophe-Alexandre Chalons-Mouriesse, Euan J. Richardson, Euan Miur, Andrei G. Shvarts, Mebratu Wakeni, and Chris J. Pearce, 2020. MoFEM: An open-source, parallel finite element library. Journal of Open Source Software, 5(45), p.1441. doi: https://doi.org/10.21105/joss.01441

8. Zahur Ullah, Xiao-Yi Zhou, Łukasz Kaczmarczyk, Edward Archer, Alistair McIlhagger, and Eileen Harkin-Jones, 2019. A unified framework for the multi-scale computational homogenisation of 3D-textile composites. Composites Part B: Engineering, 167, pp.582-598. doi: https://doi.org/10.1016/j.compositesb.2019.03.027

9. Łukasz Kaczmarczyk, Zahur Ullah, and Chris J. Pearce. Energy-consistent framework for continuously evolving 3D crack propagation. Computer Methods in Applied Mechanics and Engineering, 2017 Sep 1;324:54-73. doi: https://doi.org/10.1016/j.cma.2017.06.001

10. Xiao-Yi Zhou, Peter D. Gosling, Zahur Ullah, Łukasz Kaczmarczyk, and Chris J. Pearce, 2017. Stochastic multi-scale finite element-based reliability analysis for laminated composite structures. Applied Mathematical Modelling, 45, pp.457-473. doi: https://doi.org/10.1016/j.apm.2016.12.005

11. Zahur Ullah, Łukasz Kaczmarczyk, and Chris J. Pearce, 2017. Three-dimensional nonlinear micro/meso-mechanical response of fiber-reinforced polymer composites. Composite Structures, 161, pp.204-214.doi: https://doi.org/10.1016/j.compstruct.2016.11.059

12. Zahur Ullah, Sotirios A. Grammatikos, Mark C. Evernden, and Chris J. Pearce, 2017. Multi-scale computational homogenisation to predict the long-term durability of composite structures. Computers & Structures, 181, pp.21-31. doi: https://doi.org/10.1016/j.compstruc.2016.11.002

13. Xiao-Yi Zhou, Peter D. Gosling, Chris J. Pearce, and Zahur Ullah, 2016. Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties. Computer Methods in Applied Mechanics and Engineering, 300, pp.84-105. doi: https://doi.org/10.1016/j.cma.2015.10.020

14. Xiao-Yi Zhou, Peter D. Gosling, Chris J. Pearce, Zahur Ullah, and Łukasz Kaczmarczyk, 2016. Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites. International Journal of Solids and Structures, 80, pp.368-380. doi: https://doi.org/10.1016/j.ijsolstr.2015.09.008

15. Łukasz Kaczmarczyk, Mohaddeseh Mousavi Nezhad, and Chris J. Pearce, 2014. Three‐dimensional brittle fracture: configurational‐force‐driven crack propagation. International Journal for Numerical Methods in Engineering, 97(7), pp.531-550. doi: https://doi.org/10.1002/nme.4603

Selected conference proceedings

1. Jack Radford, Samuel Nerenberg, Andrei G. Shvarts, Łukasz Kaczmarcyk, and Daniele Faccio, 2022, July. Imaging Beyond 100 Transport Mean Free Paths using Variational Autoencoding. In Computational Optical Sensing and Imaging (pp. CM3A-5). Optica Publishing Group. doi: https://doi.org/10.1364/COSI.2022.CM3A.5

2. Andrei G. Shvarts, Yang Xu, Guanbo Min, Ignatios Athanasiadis, Łukasz Kaczmarczyk, Daniel M. Mulvihill, and Chris J. Pearce., 2021. Finite-element modelling of triboelectric nanogenerators accounting for surface roughness. In Proceedings of UK Association for Computational Mechanics Conference 2021. doi: https://doi.org/10.17028/rd.lboro.14596023.v1

3. Adriana Kuliková, Andrei G. Shvarts, Łukasz Kaczmarczyk, and Chris J. Pearce. In Proceedings of UK Association for Computational Mechanics Conference 2021. https://doi.org/10.17028/rd.lboro.14588577.v1

4. Ignatios Athanasiadis, Łukasz Kaczmarczyk, Zahur Ullah, and Chris J. Pearce., 2019, April. Mortar contact formulation for hierarchical basis functions using a smooth active set strategy. In Proceedings of UK Association for Computational Mechanics Conference 2019. https://doi.org/10.5281/zenodo.3885015

5. Łukasz Kaczmarczyk, Zahur Ullah, and Chris J. Pearce., 2016. Prism solid-shell with heterogeneous and hierarchical approximation basis. UKACM Cardiff, UK. doi: https://doi.org/10.5281/zenodo.583683

6. Łukasz Kaczmarczyk, Zahur Ullah, and Chris J. Pearce., 2016. Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion. doi: https://doi.org/10.13140/RG.2.1.1696.4245

7. Hassan Al-Budairi, Łukasz Kaczmarczyk, and Chris J. Pearce, 2015. Modelling of Dynamic Crack Propagation in 3D Elastic Continuum Using Configurational Mechanics. ePrint: https://eprints.gla.ac.uk/118527/