Theory and Applications of PCCs

  1. Oleg Bushuev, Elijah Borodin, Anna Bodyakova, Siying Zhu, Andrey P. Jivkov (2025) Disorientation-based classification of mesostructures in severely deformed copper alloys. Acta Materialia, 286, 120714. 10.1016/j.actamat.2025.120714
  2. Elijah Borodin and Afonso D. M. Barroso, Andrey P. Jivkov (2024) Kinetic view on dynamic plasticity of crystalline solids. arXiv. 10.48550/arXiv.2412.14105
  3. Elijah Borodin, Oleg Bushuev, Vladimir Bratov, Andrey P. Jivkov (2024) Discrete model for discontinuous dynamic recrystallisation applied to grain structure evolution inside adiabatic shear bands. Journal of Materials Research and Technology, 30, 2125-2139. 10.1016/j.jmrt.2024.03.206
  4. E.N. Borodin, A.G. Sheinerman, O.Yu. Bushuev, M.Yu. Gutkin, A.P. Jivkov (2024) Defect-induced fracture topologies in Al2O3 ceramic-graphene nanocomposites. Materials & Design, 239, 112783. 10.1016/j.matdes.2024.112783
  5. Siying Zhu, Elijah Borodin, Andrey P. Jivkov (2024) Discrete modelling of continuous dynamic recrystallisation by modified Metropolis algorithm. Computational Materials Science, 234, 112804. 10.1016/j.commatsci.2024.112804
  6. Siying Zhu, Andrey P. Jivkov, Elijah Borodin, Anna Bodyakova (2024) Triple junction disclinations in severely deformed Cu–0.4%Mg alloys. Acta Materialia, 264, 119600. 10.1016/j.actamat.2023.119600
  7. Siying Zhu, Elijah Borodin, Andrey P. Jivkov (2023) Topological characteristics of grain boundary networks during severe plastic deformations of copper alloys. Acta Materialia, 259, 119290. 10.1016/j.actamat.2023.119290
  8. K. Berbatov, P.D. Boom, A.L. Hazel, A.P. Jivkov (2022) Diffusion in multi-dimensional solids using Forman’s combinatorial differential forms. Applied Mathematical Modelling, 110, 172-192. 10.1016/j.apm.2022.05.043
  9. P.D. Boom, O. Kosmas, L. Margetts, A.P. Jivkov (2022) A geometric formulation of linear elasticity based on discrete exterior calculus. International Journal of Solids and Structures, 236–237, 111345. 10.1016/j.ijsolstr.2021.111345
  10. E.N. Borodin, A.P. Jivkov, A.G. Sheinerman, M.Yu. Gutkin (2021) Optimisation of rGO-enriched nanoceramics by combinatorial analysis. Materials & Design, 212, 110191. 10.1016/j.matdes.2021.110191
  11. S. Zhu, E.N. Borodin, A.P. Jivkov (2021) Triple junctions network as the key structure for characterisation of SPD processed copper alloys. Materials & Design, 198(24), 109352. 10.1016/j.matdes.2020.109352
  12. D. Šeruga, O. Kosmas, A.P. Jivkov (2020) Geometric modelling of elastic and elastic-plastic solids by separation of deformation energy and Prandtl operators. International Journal of Solids and Structures, 198, 136–148. 10.1016/j.ijsolstr.2020.04.019
  13. E. N. Borodin, A. P. Jivkov (2019) Evolution of triple junctions’ network during severe plastic deformation of copper alloys – a discrete stochastic modelling. Philosophical Magazine, 100(4), 467-485. 10.1080/14786435.2019.1695071
  14. E.N. Borodin, A. Morozova, V. Bratov, A. Belyakov, A.P. Jivkov (2019) Experimental and numerical analyses of microstructure evolution of Cu-Cr-Zr alloys during severe plastic deformation. Materials Characterization, 156, 109849. 10.1016/j.matchar.2019.109849
  15. I. Dassios, G. O’Keeffe, A.P. Jivkov (2018) A mathematical model for elasticity using calculus on discrete manifolds. Mathematical Methods in the Applied Sciences, 41(18), 9057– 9070. 10.1002/mma.4892