### Abstract

The main objective of the present paper is to use specific constitutive equations developed to model the elastic-viscoplastic response of metals and to show how a Leonov-type model can be obtained as a special case. This establishes a direct connection between the tensorial structure of the constitutive equations for elastic-viscoplastic metals and those for polymeric liquids. Recognizing this connection can be important because it follows that many of the analytical tools developed by fluid mechanicians can be used directly to analyze a large class of difficult problems associated with the plastic flow of metals.

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

Pages (from-to) | 79-88 |

Number of pages | 10 |

Journal | Journal of Non-Newtonian Fluid Mechanics |

Volume | 50 |

Issue number | 1 |

Publication status | Published - 1993 Nov 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- constitutive equations
- elastic-viscoplastic metals
- metals
- polymeric liquids

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

*Journal of Non-Newtonian Fluid Mechanics*,

*50*(1), 79-88.

**On the relationship between phenomenological models for elastic-viscoplastic metals and polymeric liquids.** / Rubin, M. B.; Yarin, Alexander.

Research output: Contribution to journal › Article

*Journal of Non-Newtonian Fluid Mechanics*, vol. 50, no. 1, pp. 79-88.

}

TY - JOUR

T1 - On the relationship between phenomenological models for elastic-viscoplastic metals and polymeric liquids

AU - Rubin, M. B.

AU - Yarin, Alexander

PY - 1993/11/1

Y1 - 1993/11/1

N2 - The main objective of the present paper is to use specific constitutive equations developed to model the elastic-viscoplastic response of metals and to show how a Leonov-type model can be obtained as a special case. This establishes a direct connection between the tensorial structure of the constitutive equations for elastic-viscoplastic metals and those for polymeric liquids. Recognizing this connection can be important because it follows that many of the analytical tools developed by fluid mechanicians can be used directly to analyze a large class of difficult problems associated with the plastic flow of metals.

AB - The main objective of the present paper is to use specific constitutive equations developed to model the elastic-viscoplastic response of metals and to show how a Leonov-type model can be obtained as a special case. This establishes a direct connection between the tensorial structure of the constitutive equations for elastic-viscoplastic metals and those for polymeric liquids. Recognizing this connection can be important because it follows that many of the analytical tools developed by fluid mechanicians can be used directly to analyze a large class of difficult problems associated with the plastic flow of metals.

KW - constitutive equations

KW - elastic-viscoplastic metals

KW - metals

KW - polymeric liquids

UR - http://www.scopus.com/inward/record.url?scp=0027701385&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027701385&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0027701385

VL - 50

SP - 79

EP - 88

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 1

ER -