### Abstract

An incremental three-dimensional constitutive relation for concrete has been developed. The linear anisotropic and path-dependent behavior is modeled by updating the stiffness matrix at each load increment. The material is assumed incrementally elastic and the six elastic moduli E
_{11}, E
_{12} ... E
_{33} are expressed in terms of both the tangential hydrostatic and deviatoric stiffness whereas the three tangential shear moduli are expressed in terms of the deviatoric stiffness only. The hydrostatic and deviatoric stiffness are determined from uniaxial stress-strain relationships by employing the space truss concept. The unaxial stress-strain relationships are in a sense the stress-strain relationships of the members of the truss, and they were based on a rheological stochastic model developed earlier. The predictions of the model compare favorably with experimental data reported by various investigators. Complex loading paths are reproduced with acceptable accuracy as is demonstrated in the second part of this paper.

Original language | English (US) |
---|---|

Title of host publication | American Society of Mechanical Engineers (Paper) |

Publisher | Publ by ASME |

Pages | 1-6 |

Number of pages | 6 |

State | Published - 1992 |

Event | 1992 ASME Summer Mechanics and Materials Meeting - Tempe, AZ, USA Duration: Apr 28 1992 → May 1 1992 |

### Other

Other | 1992 ASME Summer Mechanics and Materials Meeting |
---|---|

City | Tempe, AZ, USA |

Period | 4/28/92 → 5/1/92 |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*American Society of Mechanical Engineers (Paper)*(pp. 1-6). Publ by ASME.

**Multiaxial stochastic constitutive law for concrete. Part I. Theoretical development.** / Fafitis, A.; Won, Y. H.

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

*American Society of Mechanical Engineers (Paper).*Publ by ASME, pp. 1-6, 1992 ASME Summer Mechanics and Materials Meeting, Tempe, AZ, USA, 4/28/92.

}

TY - GEN

T1 - Multiaxial stochastic constitutive law for concrete. Part I. Theoretical development

AU - Fafitis, A.

AU - Won, Y. H.

PY - 1992

Y1 - 1992

N2 - An incremental three-dimensional constitutive relation for concrete has been developed. The linear anisotropic and path-dependent behavior is modeled by updating the stiffness matrix at each load increment. The material is assumed incrementally elastic and the six elastic moduli E 11, E 12 ... E 33 are expressed in terms of both the tangential hydrostatic and deviatoric stiffness whereas the three tangential shear moduli are expressed in terms of the deviatoric stiffness only. The hydrostatic and deviatoric stiffness are determined from uniaxial stress-strain relationships by employing the space truss concept. The unaxial stress-strain relationships are in a sense the stress-strain relationships of the members of the truss, and they were based on a rheological stochastic model developed earlier. The predictions of the model compare favorably with experimental data reported by various investigators. Complex loading paths are reproduced with acceptable accuracy as is demonstrated in the second part of this paper.

AB - An incremental three-dimensional constitutive relation for concrete has been developed. The linear anisotropic and path-dependent behavior is modeled by updating the stiffness matrix at each load increment. The material is assumed incrementally elastic and the six elastic moduli E 11, E 12 ... E 33 are expressed in terms of both the tangential hydrostatic and deviatoric stiffness whereas the three tangential shear moduli are expressed in terms of the deviatoric stiffness only. The hydrostatic and deviatoric stiffness are determined from uniaxial stress-strain relationships by employing the space truss concept. The unaxial stress-strain relationships are in a sense the stress-strain relationships of the members of the truss, and they were based on a rheological stochastic model developed earlier. The predictions of the model compare favorably with experimental data reported by various investigators. Complex loading paths are reproduced with acceptable accuracy as is demonstrated in the second part of this paper.

UR - http://www.scopus.com/inward/record.url?scp=0027068745&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027068745&partnerID=8YFLogxK

M3 - Conference contribution

SP - 1

EP - 6

BT - American Society of Mechanical Engineers (Paper)

PB - Publ by ASME

ER -