This contribution discusses modern concepts in multi-scale analysis. Emphasis is placed in the discussion on so-called concurrent approaches, in which computations are carried out simultaneously at two or more scales. Since analyses at a lower level typically involve more discontinuities to be considered, attention is also paid to the proper modelling of evolving discontinuities. Another related problem is the treatment of discontinuities for problems that involve the modelling of diffusion phenomena in addition to a stress analysis, since this also requires the application of multi-scale concepts. As a further step the coupling of dissimilar media is considered like continuum to discrete models.
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de Borst, R. (2009). Computational Multi-Scale Methods and Evolving Discontinuities. In: Yuan, Y., Cui, J., Mang, H.A. (eds) Computational Structural Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2822-8_1
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DOI: https://doi.org/10.1007/978-90-481-2822-8_1
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