### Abstract

Strain-gauged circular rods are used for Split Hopkinson Pressure Bar (SHPB) testing. Strain measurements along the bar are used to determine the stress and displacement histories at the end of the bar. A new wave equation is derived for long polymeric rods. The material properties are modelled as a Maxwell viscoelastic material acting in parallel with an elastic material. Lateral motions of the rod that result from the Poisson effect are accounted for using a new concept called the "effective density". The effects of both the material properties and the diameter of the bar on dispersion and attenuation coefficients are highlighted. The new wave theory simplifies to Wang et. al.'s formula (1994) for one-dimensional waves in polymer rods if the Poisson ratio is set to zero. The predictions simplify to Love's equation for stress waves in elastic bars when rate dependency is removed from the material model.

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

Pages (from-to) | 707-710 |

Number of pages | 4 |

Journal | Shock Compression of Condensed Matter |

Volume | 1195 |

Issue number | 1 |

Publication status | Published - 2009 |

Event | Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter - Nashville, United States Duration: 28 Jun 2009 → 3 Jul 2009 |

### Keywords

- stress Wave propagation
- viscoelasticity
- Split Hopkinson Pressure Bar (SHPB)
- Hopkinson Bar
- propagation

### Cite this

*Shock Compression of Condensed Matter*,

*1195*(1), 707-710.

**Analytical Description of Stress Waves in Viscoelastic Bars.** / Aleyaasin, Majid; Harrigan, John J; Millett, John.

Research output: Contribution to journal › Article

*Shock Compression of Condensed Matter*, vol. 1195, no. 1, pp. 707-710.

}

TY - JOUR

T1 - Analytical Description of Stress Waves in Viscoelastic Bars

AU - Aleyaasin, Majid

AU - Harrigan, John J

AU - Millett, John

PY - 2009

Y1 - 2009

N2 - Strain-gauged circular rods are used for Split Hopkinson Pressure Bar (SHPB) testing. Strain measurements along the bar are used to determine the stress and displacement histories at the end of the bar. A new wave equation is derived for long polymeric rods. The material properties are modelled as a Maxwell viscoelastic material acting in parallel with an elastic material. Lateral motions of the rod that result from the Poisson effect are accounted for using a new concept called the "effective density". The effects of both the material properties and the diameter of the bar on dispersion and attenuation coefficients are highlighted. The new wave theory simplifies to Wang et. al.'s formula (1994) for one-dimensional waves in polymer rods if the Poisson ratio is set to zero. The predictions simplify to Love's equation for stress waves in elastic bars when rate dependency is removed from the material model.

AB - Strain-gauged circular rods are used for Split Hopkinson Pressure Bar (SHPB) testing. Strain measurements along the bar are used to determine the stress and displacement histories at the end of the bar. A new wave equation is derived for long polymeric rods. The material properties are modelled as a Maxwell viscoelastic material acting in parallel with an elastic material. Lateral motions of the rod that result from the Poisson effect are accounted for using a new concept called the "effective density". The effects of both the material properties and the diameter of the bar on dispersion and attenuation coefficients are highlighted. The new wave theory simplifies to Wang et. al.'s formula (1994) for one-dimensional waves in polymer rods if the Poisson ratio is set to zero. The predictions simplify to Love's equation for stress waves in elastic bars when rate dependency is removed from the material model.

KW - stress Wave propagation

KW - viscoelasticity

KW - Split Hopkinson Pressure Bar (SHPB)

KW - Hopkinson Bar

KW - propagation

M3 - Article

VL - 1195

SP - 707

EP - 710

JO - American Institute of Physics Conference Proceedings

JF - American Institute of Physics Conference Proceedings

SN - 0094-243X

IS - 1

ER -