MATHMOD · Mathematical modelling of fracture in adhesive joints
FP6 — Marie Curie Actions (Human Resources and Mobility)
- Duration
- 2004-09-01 → 2008-08-31
- EU contribution
- €531,446
- Participants
- 2
- Scheme
- TOK
Lines connect the coordinator with its partners. CORDIS does not always give exact coordinates for projects before 2014. These points are placed at city or country level.
Results in brief
Final Activity Report Summary - MATHMOD (Mathematical modelling of fracture in adhesive joints)
The focus of the project has been on the transfer of knowledge between Liverpool University (United Kingdom) and Rzeszow university (Poland) and original research in the new and challenging area of modelling of imperfect interfaces, which included analysis of waves in structured media, models of interfacial three-dimensional cracks, problems of plasticity and models of imperfect interfaces where displacements and/or tractions are discontinuous. The four year project has been completed in full, which includes the entire list of thoroughly completed research tasks outlined in the original proposal. The highlights of the project were very productive visits of academic staff from the department of mathematical sciences of Liverpool University to the Rzeszow University of Technology. These resulted in series of high quality lectures, research seminars and workshops. Reciprocally, academic members of staff of Rzeszow University of Technology visited United Kingdom, delivered lectures of outstanding international standard and carried out intensive research collaboration with colleagues from Liverpool. This has also stimulated research student exchange between Liverpool and Rzeszow in the framework of the Erasmus Socrates European programme. The scientific results obtained during the course of the project have attracted a lot of attention of the research community and have stimulated intensive research collaboration between Liverpool University and Polish Academy of Sciences, Trento University (Italy), Tel-Aviv University (Israel) and the University of Texas at Austin (United States). The results of the research have been published in the high quality of international research journals including journal of the mechanics and physics of solids, proceeding of the royal society A London, waves in random and complex media and the keynote research presentations have been delivered at the international research conferences and workshops. The work proceeded on schedule and according to the approved financial plan of expenditure.
Data: CORDIS, © European Union
Project objective
Composite elastic materials are widely used in modem technology, especially in aircraft industry and civil engineering. Such materials exhibit variety of physical/chemical features and have special mechanical properties. Defects appearing during manufactur ing processes and exploitation reduce the strength of the composites and can even lead to a catastrophic failure. There are many investigations concerning the interaction between defects with bi-material interfaces in composites working under different loa ding conditions. However, most of them have been based on the classical transmission conditions (or ideal contact), which are not able to take into account fields of high gradients within the bonding region at the interface. In the proposed project we are planning to develop mathematical models for the so-called imperfect transmission conditions between the different materials. Recently, new results in this direction have been independently obtained by the Partner leader, Prof. G. Mishuris, and the proposer , Prof. A.B. Movchan. The results showed that, in some specific cases, behaviour of composite with defects depends strongly on properties of the interface. The plan of our work includes analysis of Wiener-Hopf problems associated with 3-D cracks on the int erfaces appearing in modellin of the crack propagation. And finally we will analyse various spectral problems for periodic composites with perfect and imperfect material bonding where each cell contains a crack. Such problems are important for the non-dest ructive control and for the analysis of stop bands for waves of acoustic frequencies within composite structures. All corresponding boundary value problems in combined domains with non-classical transmission conditions will be solved by reduction to bounda ry integral equations, together with the factorisation technique and asymptotic methods. The analytical and numerical solutions will provide new and very important tools
Original text from CORDIS.
Participants
- THE UNIVERSITY OF LIVERPOOL · LIVERPOOLCoordinatorUnited Kingdom
- RZESZOW UNIVERSITY OF TECHNOLOGY · RZESZGWCountry levelPoland
Links
Data: CORDIS, © European Union