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Abstract In classic plasticity theory the yielding condition is a discontinuity between the elastic and plastic phases. This discontinuity has obvious negative consequences in the mathemetical features of the algorithm to be used for the solution of solid and structural mechanics problems. In the framework of endochronic theory smoothed plasticity models, without discontinuities, are available. In particular a three-dimensional tensorial smoothed idealization of the Prager's model is considered in this paper. Moreover multivariate smoothed constitutive laws for beam sections are provided. Their use in non-linear stochastic dynamics is discussed.
Abstract In classic plasticity theory the yielding condition is a discontinuity between the elastic and plastic phases. This discontinuity has obvious negative consequences in the mathemetical features of the algorithm to be used for the solution of solid and structural mechanics problems. In the framework of endochronic theory smoothed plasticity models, without discontinuities, are available. In particular a three-dimensional tensorial smoothed idealization of the Prager's model is considered in this paper. Moreover multivariate smoothed constitutive laws for beam sections are provided. Their use in non-linear stochastic dynamics is discussed.
Stochastic dynamics of hysteretic media
Casciati, F. (author)
Structural Safety ; 6 ; 259-269
1989-01-01
11 pages
Article (Journal)
Electronic Resource
English
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