Keywords: inelastic materials, multi-scale analysis, design, identification.

The current increase in computational power allows us to completely rethink the modelling of engineering materials and the corresponding testing and design procedures. In particular, the traditional phenomenological models are giving way more and more to multi-scale modelling procedure, where one goes to a much smaller scale to properly interpret the particular mechanisms of inelastic behaviour. One such model, which centres upon the ideas inherited from structural mechanics, is presented in this lecture. We illustrate it via a number of case studies [1,2,3,4] that models of this kind are capable of providing the predictive capabilities that extend way beyond traditional phenomenological models.

1

Ibrahimbegovic A., J.B. Colliat, L. Davenne, "Thermomechanical coupling in folded plates and non-smooth shells", Computer Methods in Applied Mechanics and Engineering, 194, 2686-2707, 2005. doi:10.1016/j.cma.2004.07.052

2

Ibrahimbegovic A., I. Gresovnik, D. Markovic, S. Melnyk, T. Rodic, "Shape optimizatoin of two-phase material with microstructure", International Journal of Engineering Computations, 22, 605-645 2005. doi:10.1108/02644400510603032

3

Ibrahimbegovic A., B. Brank, "Multi-physicss and multi-scale computer models in nonlinear analysis and optimal design of engineering structures under extreme conditions", IOS Press, Amsterdam, 2004.

4

Ibrahimbegovic A., C. Knopf-Lenoir, A. Kucerova, P. Villon, "Optimal design and optimal control of elastic structures undergoing finite rotations and deformations", International Journal for Numerical Methods in Engineering, 61, 2428-2460, 2004. doi:10.1002/nme.1150

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