• Corpus ID: 18163550

Mesoscopic theory of microcracks

  title={Mesoscopic theory of microcracks},
  author={Christina Papenfuss and P{\'e}ter V{\'a}n and Wolfgang Muschik},
  journal={Archives of Mechanics},
The mesoscopic concept is a way to deal with complex materials with an internal structure within continuum mechanics. It consists of extending the domain of the balance equations by mesoscopic variables and of introducing a local distribution function of these variables as a statistical element. In our case microcracks are modelled as penny-shaped and are completely characterized by their diameter and the unit normal to the crack surface. Two examples of crack dynamics are given as well as a… 

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Abstract We are dealing with damage of brittle materials caused by growth of microcracks. In our model the cracks are penny-shaped. They can only enlarge but not heal. For a single crack a

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On the macroscopic–mesoscopic mixture of a magnetorheological fluid

  • Kuo-Ching Chen
  • Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2006
This paper is concerned with the modelling of a magnetorheological (MR) fluid in the presence of an applied magnetic field as a twofolded mixture—a macroscopic fluid continuum and mesoscopic



Mesoscopic dynamics of microcracks

  • VánPapenfussMuschik
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
The mesoscopic concept is applied to the description of microcracks and dynamic equations for the fabric tensors of different order are derived using a multipole moment expansion of the orientational crack distribution function.

Griffith cracks in the mesoscopic microcrack theory

The mesoscopic concept is applied to the description of microcracked brittle materials. The mesoscopic equations are solved in a special case when the microcracks are developing according to the

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We discover a qualitatively new behavior for systems where the load transfer has limiting stress amplification as in real fiber composites. We find that the disorder is a relevant field leading to

Internal Thermodynamic Variables and Failure of Microcracked Materials

Abstract Thermodynamic stability of materials is investigated in the presence of internal variables. The possibility of phase boundaries in nonequilibrium solid materials is considered which suggests

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