Objective
MATT wants to investigate new multiscale mathematical problems where the evolution of fluctuating internal surfaces with respect to time and space has to be considered. Such evolutions happen at small, unobservable spatial scales, as the evolving surfaces are typically contact interfaces between microscopic material phases. A prime example is the modeling of mechanical microstructural changes in steel (e.g. Bainite formation from Austenite) under fast temperature changes (pointwise sensor measurements are here unavailable). Besides thermoelasticity, other real-world examples leading to the same class of mathematical problems include swelling of porous media, growth of tumors, and thawing of glaciers/permafrost (now, a global problem).
As the scale heterogeneity renders numerical simulations impossible, one must identify simplified models that are able to accurately describe and predict the material behavior while still being simple enough to allow for fast numerical simulations within the expected physical range.
The objectives of MATT are:
(a) develop a general mathematical framework for rigorously connecting different scales crossed by free boundaries,
(b) design multiscale numerical schemes to simulate and validate the produced models,
(c) facilitate the Researcher a quick development towards scientific independence,
(d) boost the Researcher's awareness of the role the applied mathematician must play in science, technology, and society.
Mathematical homogenization (two-scale convergence/periodic unfolding) is the main working tool. Due to the inherent non-linearity of moving boundary problems, several new results regarding uniform estimates and compactness arguments will be established and used to ensure convergence. Multiscale numerical schemes will be designed and implemented in Python/FEniCS. Experimental data for the Bainite transformation from Austenite will be used to validate our findings.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- engineering and technology electrical engineering, electronic engineering, information engineering electronic engineering sensors
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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)
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.
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
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
651 88 Karlstad
Sweden
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.