Basque Center for Applied Mathematics (BCAM) in Spain.
The objective of the PhD project is to develop and implement computational methods for the future of manufacturing of metals in the open source automated massively parallel FEniCS framework, in collaboration with leading researchers and companies in the ENABLE project. The research will focus on highly efficient general continuum modelling with adaptive error control in the Unified Continuum methodology*, and to develop the FEniCS framework in general to support this type of advanced modelling.
A key step will be to integrate the strain gradient model developed by ESR4 and 5. For this reason, the ESR6 will have to carry out a precise state of the art on finite element methods based on strain gradient models, and complex continuum modelling of severe deformation of metals in e.g. cutting or FSW processes. Then, she/he will have to adapt the new type of finite element developed by the ESR5, to the formalism required by the FEniCS framework. The development of a new type of finite element strain gradient modelling in FEniCS will then involve the development of FEniCS Unified Continuum formulation including mesh methods for ENABLE models (e.g. strain gradient model) in an HPC setting. The next step will then be the implementation of duality-based adaptive error control methods for the Unified Continuum formulation with strain gradient models.
Finally, ESR6 will have to carry out the validation of the method and solver developed by ESR5 against the experimental data provided by the ESR1,2 and 3.To this end, the ESR6 will have to :
- Perform process simulations (FSW AM and machining) based on the outcome of the ENABLE project.
- Test and validate parallel performance of the solver on supercomputers.
- Model processes in a polycrystalline material, effect of microstructure parameters on machinability and processing.
- Carry out the computed data comparison with the experimental measurements (link with ESR1, ESR2, ESR7, ESR8 and ESR9).
In the PhD project one of the expectations is to develop a new MOOC focusing on general and adaptive methods for complex continuum mechanics.