Summary
Loss of uniqueness of the solutions of initial boundary value problems obtained by the use of constitutive equations incorporating strength degradations can be observed numerically even with enhanced models. As engineers, we must address this issue. In this paper the problem is studied both at the macro level and the micro level, in conjunction with some experimental data and theoretical results. It is concluded that the situation has to be studied differently at the element and structural levels. In both cases, however, this has to prompt us to change some of our routine ideas, which could mean abandoning the classical paradigm of continuum mechanics.
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Chambon, R. (2011). BIFURCATIONS FROM THE MICROSCALE TO THE MACROSCALE: A NEW PARADIGM FOR MODELING AND EXPERIMENTS. In: Borja, R.I. (eds) Multiscale and Multiphysics Processes in Geomechanics. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19630-0_10
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DOI: https://doi.org/10.1007/978-3-642-19630-0_10
Publisher Name: Springer, Berlin, Heidelberg
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