Crystal plasticity finite element simulations of cast α-uranium

Nicolò Grilli, Alan C.F. Cocks, Edmund Tarleton

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

8 Citations (Scopus)

Abstract

α-uranium, the stable phase of uranium up to 670C, has a base-centred orthorombic crystal structure. This crystal structure gives rise to elastic and thermal anisotropy, meaning α-uranium exhibits complex deformation and fracture behaviour. Understanding the relationship between the microstructure and mechanical properties is important to prevent fracture during manufacture and usage of components. The lattice of α-uranium corresponds to a distorted close-packed-hexagonal crystal structure and it exhibits twins of both the 1st and 2nd kind. Therefore, detailed examination of the behaviour of α-uranium can also contribute to the general understanding of the interaction between plasticity, twinning and fracture in hcp crystals. Plastic deformation in α-uranium can be accommodated by 4 slip systems and 3 twin systems, previously identified by McCabe et al. These deformation modes are implemented into a crystal plasticity finite element (CPFE) material model. A temperature dependent, dislocation density based law is implemented to describe the critical resolved shear stress on the different slip/twin systems. The strong anisotropic thermal expansion behaviour is taken into account to simulate the development of internal residual stresses following casting of the material. During cooling, the internal stresses in α-uranium are sufficient to induce plasticity. This effect is quantified using polycrystal simulations, in which first the temperature is decreased, then plastic relaxation takes place, followed by application of a mechanical load. The asymmetry between mechanical properties in tension and compression, due to the presence of twins, is investigated. The model is calibrated using stress strain curves and the lattice strain found from published neutron diffraction experiments carried out on textured samples at ISIS. The strength of the slip systems is found to be lower than in fine grained material, while the strength of the twin system is similar to single crystals. The CPFE method allows the heterogeneity of the strain between neighbouring grains and its influence on the evolution of the internal stress state to be investigated.

Original languageEnglish
Title of host publication15th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2019
EditorsEugenio Onate, D. Roger J. Owen, Djordje Peric, Michele Chiumenti, Eduardo de Souza Neto
PublisherInternational Center for Numerical Methods in Engineering
Pages261-272
Number of pages12
ISBN (Electronic)9788494919473
Publication statusPublished - 2019
Event15th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2019 - Barcelona, Spain
Duration: 3 Sept 20195 Sept 2019

Publication series

Name15th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2019

Conference

Conference15th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2019
Country/TerritorySpain
CityBarcelona
Period3/09/195/09/19

Bibliographical note

Publisher Copyright:
Copyright © COMPLAS 2019.

Keywords

  • Crystal Plasticity
  • Finite Element method
  • Thermal residual strains
  • Twinning
  • Uranium

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