### Abstract

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 possible definition of a damage parameter. Orientational order parameters (fabric-alignment tensors) are defined and balance-like dynamic equations for them are derived.

Original language | English |
---|---|

Pages (from-to) | 481-499 |

Number of pages | 19 |

Journal | Archives of Mechanics |

Volume | 55 |

Issue number | 5-6 |

Publication status | Published - 2003 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanical Engineering

### Cite this

*Archives of Mechanics*,

*55*(5-6), 481-499.

**Mesoscopic theory of microcracks.** / Papenfuss, C.; Ván, P.; Muschik, W.

Research output: Contribution to journal › Article

*Archives of Mechanics*, vol. 55, no. 5-6, pp. 481-499.

}

TY - JOUR

T1 - Mesoscopic theory of microcracks

AU - Papenfuss, C.

AU - Ván, P.

AU - Muschik, W.

PY - 2003

Y1 - 2003

N2 - 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 possible definition of a damage parameter. Orientational order parameters (fabric-alignment tensors) are defined and balance-like dynamic equations for them are derived.

AB - 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 possible definition of a damage parameter. Orientational order parameters (fabric-alignment tensors) are defined and balance-like dynamic equations for them are derived.

UR - http://www.scopus.com/inward/record.url?scp=70449920954&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449920954&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70449920954

VL - 55

SP - 481

EP - 499

JO - Archives of Mechanics

JF - Archives of Mechanics

SN - 0373-2029

IS - 5-6

ER -