Abstract
Stochastic finite elements in conjunction with continuum damage mechanics are used to model the stochastic damage behaviour of quasi-brittle materials. To avoid the change of character of the governing differential equations during progressive damage, higher order terms, in the form of a non-local formulation of damage, are added to the standard continuum description. The randomness in the damage process is introduced by considering the initial damage threshold of the continuum damage model as a random field. The non-local and random field formulations both rely on the introduction of a length parameter: the internal length scale in case of the non-local continuum and the correlation length for the random field. The effect of the relative variation of the correlation length and the internal length scale will be discussed.
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© 1994 Springer Science+Business Media Dordrecht
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Carmeliet, J. (1994). On Stochastic Descriptions for Damage Evolution in Quasi-Brittle Materials. In: Kusters, G.M.A., Hendriks, M.A.N. (eds) DIANA Computational Mechanics ‘94. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1046-4_9
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DOI: https://doi.org/10.1007/978-94-011-1046-4_9
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