Objective
Defects are omnipresent in crystalline materials and the understanding of their emergence and interaction is essential for the prediction of the macroscopic material behaviour. Thus, there is a huge interest to pass in a rigorous mathematical way from atomistic models for crystal defects to macroscopic models, e.g. for crystal plasticity. From a variational viewpoint this can be addressed by deriving effective limiting energies from lattice energies when the lattice spacing vanishes. A powerful method to carry out such a variational coarse-graining procedure is Gamma-convergence. In this framework we address here the variational coarse graining of lattice energies which capture the formation and interaction of defects of different dimension, namely partial dislocations and stacking faults. The splitting of dislocations into partial dislocations resulting in a stacking fault is a typical phenomenon of closed-packed crystalline structures. Thus, on the one hand we aim at proposing and analysing a suitable discrete model for partial dislocations and stacking faults in HCP, on the other hand we will embed this result into a broader context by investigating in a general framework the emergence of fractional vortices and string defects in XY-model type energies. Eventually, we will characterise geometric properties of minimisers for the coarse-grained energies.
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Keywords
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Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2021-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
00185 Roma
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.