### Abstract

The question of implementation of the initial state of the material is addressed. The problem is tackled by assuming random initial values for a relevant variable, within a prespecified range. The numerical implementation shows that the lower the initial assigned degradation in the material the higher the rate of dissipated energy. This numerical result agrees with relevant experiments. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation.

Original language | English (US) |
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Title of host publication | Proceedings of Engineering Mechanics |

Publisher | Publ by ASCE |

Pages | 616-619 |

Number of pages | 4 |

ISBN (Print) | 0872628671 |

State | Published - 1992 |

Event | Proceedings of the 9th Conference on Engineering Mechanics - College Station, TX, USA Duration: May 24 1992 → May 27 1992 |

### Other

Other | Proceedings of the 9th Conference on Engineering Mechanics |
---|---|

City | College Station, TX, USA |

Period | 5/24/92 → 5/27/92 |

### Fingerprint

### ASJC Scopus subject areas

- Civil and Structural Engineering
- Architecture

### Cite this

*Proceedings of Engineering Mechanics*(pp. 616-619). Publ by ASCE.

**Random initial heterogeneity and degradation in brittle materials.** / Yuan, X.; Tang, F. F.; Frantziskonis, George N.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of Engineering Mechanics.*Publ by ASCE, pp. 616-619, Proceedings of the 9th Conference on Engineering Mechanics, College Station, TX, USA, 5/24/92.

}

TY - GEN

T1 - Random initial heterogeneity and degradation in brittle materials

AU - Yuan, X.

AU - Tang, F. F.

AU - Frantziskonis, George N

PY - 1992

Y1 - 1992

N2 - The question of implementation of the initial state of the material is addressed. The problem is tackled by assuming random initial values for a relevant variable, within a prespecified range. The numerical implementation shows that the lower the initial assigned degradation in the material the higher the rate of dissipated energy. This numerical result agrees with relevant experiments. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation.

AB - The question of implementation of the initial state of the material is addressed. The problem is tackled by assuming random initial values for a relevant variable, within a prespecified range. The numerical implementation shows that the lower the initial assigned degradation in the material the higher the rate of dissipated energy. This numerical result agrees with relevant experiments. The analysis has revealed the importance of the internal material length, e.g. for assigning the initial random variables according to a material dependent fluctuation scale. Different possibilities for its estimation and/or evolution have been suggested. Symbolic computations by computer that resulted in the analytical solution of an instability problem are presented. Such analytical solution without computer had not been obtained in the past because the analytical work is tedious and error prone making it very difficult to pursue. The analytical solution, made possible through symbolic computations, provides significant insight into the problem of skin effects in brittle materials and internal length estimation.

UR - http://www.scopus.com/inward/record.url?scp=0026627180&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026627180&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026627180

SN - 0872628671

SP - 616

EP - 619

BT - Proceedings of Engineering Mechanics

PB - Publ by ASCE

ER -