Abstract
Classic plasticity theory regards the yielding condition as discontinuity between elastic and plastic phases. This discontinuity leads obvious negative consequences in the mathematical features of the algorithm one uses in solving solid and structural mechanics problems.
Smoothed plasticity models are presently available in the framework of endochronic theory. This contribution discusses in particular three-dimensional tensorial smoothed idealizations of the Prager's model. Multivariate smoothed constitutive laws are also provided at a section level. Some aspect of the stochastic equivalent linearization algorithm which makes direct use of this smoothed model are discussed.
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Casciati, F. (1995). Stochastic dynamics of hysteretic media. In: Krée, P., Wedig, W. (eds) Probabilistic Methods in Applied Physics. Lecture Notes in Physics, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60214-3_60
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DOI: https://doi.org/10.1007/3-540-60214-3_60
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