Objective
One direction of research will focus on the possibility of defining spaces of discontinuous functions with suitable compactness properties, where variational problems can be handled which take into account elastic deformation, cavitation, fracture initiation and crack deformation. On these spaces functionals will be investigated, which describe the energies of fractured bodies, and the solution of some problems in the mechanics of brittle hyperelastic materials will be seeked. We will confront the De Giorgi-Ambrosio SBV-functions approach to problems in fracture mechanics, and the M\"uller-Spector penalized perimeters approach to cavitation, under the common viewpoint of Federer's currents. An other direction of research will be the description of problems in fracture mechanics through an approximation scheme by smooth functionals of non-local character, using the methods of r-convergence and recent results on quasiconvex functions. A mechanical interpretation of this approximation will be studied, investigating the possibility of understanding the non-local interactions as small-scale effects of interatomic forces, looking for possible links with singular perturbations approaches.
Fields of science (EuroSciVoc)
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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.
Call for proposal
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Funding Scheme
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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.
Coordinator
04103 LEIPZIG
Germany
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.