### Abstract

A procedure for derivation of stochastic constitutive laws is outlined on the basis of graph-representable linear elastic microstructures. Central to the procedure is the concept of a scale dependent representative volume element, which leads to two response tensors convergent from above and below to the effective moduli of an infinite microstructure. In a given boundary value problem these response tensors are to be used to bound the effective solution at a given scale of resolution.

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

Publisher | Publ by ASCE |

Pages | 184-187 |

Number of pages | 4 |

ISBN (Print) | 0872628671 |

State | Published - Jan 1 1992 |

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

### Publication series

Name | Proceedings of Engineering Mechanics |
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### Other

Other | Proceedings of the 9th Conference on Engineering Mechanics |
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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. 184-187). (Proceedings of Engineering Mechanics). Publ by ASCE.

**On a micromechanical basis of stochastic constitutive laws.** / Starzewski, Martin Ostoja.

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

*Proceedings of Engineering Mechanics.*Proceedings of Engineering Mechanics, Publ by ASCE, pp. 184-187, Proceedings of the 9th Conference on Engineering Mechanics, College Station, TX, USA, 5/24/92.

}

TY - GEN

T1 - On a micromechanical basis of stochastic constitutive laws

AU - Starzewski, Martin Ostoja

PY - 1992/1/1

Y1 - 1992/1/1

N2 - A procedure for derivation of stochastic constitutive laws is outlined on the basis of graph-representable linear elastic microstructures. Central to the procedure is the concept of a scale dependent representative volume element, which leads to two response tensors convergent from above and below to the effective moduli of an infinite microstructure. In a given boundary value problem these response tensors are to be used to bound the effective solution at a given scale of resolution.

AB - A procedure for derivation of stochastic constitutive laws is outlined on the basis of graph-representable linear elastic microstructures. Central to the procedure is the concept of a scale dependent representative volume element, which leads to two response tensors convergent from above and below to the effective moduli of an infinite microstructure. In a given boundary value problem these response tensors are to be used to bound the effective solution at a given scale of resolution.

UR - http://www.scopus.com/inward/record.url?scp=0026685443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026685443&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0026685443

SN - 0872628671

T3 - Proceedings of Engineering Mechanics

SP - 184

EP - 187

BT - Proceedings of Engineering Mechanics

PB - Publ by ASCE

ER -