title: Numerical simulation of wave propagation in materials with internal interfaces
reg no: ETF5765
project type: Estonian Science Foundation research grant
subject: 2.3. Mechanics
status: accepted
institution: Institute of Cybernetics at Tallinn Technical University
head of project: Arkadi Berezovski
duration: 01.01.2004 - 31.12.2006
description: Theoretical modeling of materials is an important and fundamental aspect of materials science that will become even more important in the future. Few materials are used solely in their ideal equilibrium state. Far from equilibrium, complex materials are used nowadays in real applications. Better understanding is needed of the complex phenomena involved in deformation and fracture of metals, alloys, and metallic composites. In most polycrystalline materials and especially composites, interfaces play an important, often crucial, role in determining a material's properties and performance. A major goal of research will therefore be the simulation and eventual design of interfaces, including grain boundaries and surfaces. New methods for modeling interfaces in heterogeneous and/or multi-material systems (e.g. ceramic-polymer and metal-ceramic interfaces) need to be developed, since the fundamental differences in bonding, structure and symmetry between different phases make them difficult to simulate with current methods. Resistance of composite and sandwich structures to dynamic and low impact loads and under high loading could be improved by better understanding of their behaviour, that means by experimentally supported modeling. Residual stresses that promote coherence of interfaces should be generated where possible. Various global-local approaches to modeling of deformation and damage evolution in complex laminates should be expanded in support of these efforts.
Our main hypothesis of the research is to model the kinetics of the internal interface as completely as possible in order to guarantee the needed accuracy. In the framework of the present project, a thermomechanical model for the moving interfaces is expected to be developed on the basis of the canonical formalism of continuum mechanics and the thermodynamics of discrete systems. The numerical implementation of this model will be made by means of the modernization of the recently proposed computational technique developed in the framework of previous ETF grants No.3203, 4504.
The scientific importance of the project involves the research on the kinetics of internal interfaces and the usage of that in developing high accuracy numerical metofs for wave propagation in complex materials.
Expected results in 2004: Numerical simulation of stress waves in periodic and random composites.

project group
no name institution position  
1.Arkadi BerezovskiInstitute of Cybernetics at Tallinn Technical UniversitySenior Res. Fellow 
2.Jüri EngelbrechtTTÜ KI