Premises to a Multifield Approach to Stochastic Damage Evolution

  • P. M. Mariano
Part of the International Centre for Mechanical Sciences book series (CISM, volume 410)


In the present chapter, some remarks about the mechanics of stochastically microcracked bodies are discussed. After preliminary remarks on measure and stochastic processes, some hints of the standard approach of internal variable models to damage phenomena are discussed and certain new results added. The main part of the paper concerns with the explanation of the principal properties of a multifield approach to damaged (in particular microcracked) bodies in which order parameter describe the microcrack state, they are considered as observable quantities; so interactions are associated to them and need be balanced following additional balance equations. The order parameters are here considered as semisubmartingale stochastic processes.


Dirichlet Form Microcrack Density Material Patch Configurational Force Effective Elasticity Tensor 


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© Springer-Verlag Wien 2000

Authors and Affiliations

  • P. M. Mariano
    • 1
  1. 1.University of Rome “La Sapienza”RomeItaly

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