### Abstract

New developments in a method of modeling frequency-dependent material damping and modulus in structural dynamics analysis are reported. The fundamental feature of the general method is the introduction of augmenting thermodynamic fields (ATF) to interact with the mechanical displacement field of continuum mechanics. These ATF are directly motivated by the ``internal state variables'' of materials science. The coupled partial differential equations that govern the dynamic behavior of a uniaxial rod are numerically solved within the computational framework of the finite element method, resulting in ``ATF-damped'' finite elements. Previous work in the development of this modeling technique is characterized by the use of a single augmenting field, with application to lightly-damped rods, beams, and truss structures. New developments include: (1) demonstration of the ability to model the behavior of high-damping materials; and (2) the use of multiple augmenting fields to model materials whose behavior departs significantly from that of standard anelastic solids.

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

Pages (from-to) | 344-357 |

Number of pages | 14 |

Journal | ASTM Special Technical Publication |

Issue number | 1169 |

State | Published - 1992 |

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### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

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**Finite elements for modeling frequency-dependent material damping using internal state variables.** / Lesieutre, George A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Finite elements for modeling frequency-dependent material damping using internal state variables

AU - Lesieutre, George A.

PY - 1992

Y1 - 1992

N2 - New developments in a method of modeling frequency-dependent material damping and modulus in structural dynamics analysis are reported. The fundamental feature of the general method is the introduction of augmenting thermodynamic fields (ATF) to interact with the mechanical displacement field of continuum mechanics. These ATF are directly motivated by the ``internal state variables'' of materials science. The coupled partial differential equations that govern the dynamic behavior of a uniaxial rod are numerically solved within the computational framework of the finite element method, resulting in ``ATF-damped'' finite elements. Previous work in the development of this modeling technique is characterized by the use of a single augmenting field, with application to lightly-damped rods, beams, and truss structures. New developments include: (1) demonstration of the ability to model the behavior of high-damping materials; and (2) the use of multiple augmenting fields to model materials whose behavior departs significantly from that of standard anelastic solids.

AB - New developments in a method of modeling frequency-dependent material damping and modulus in structural dynamics analysis are reported. The fundamental feature of the general method is the introduction of augmenting thermodynamic fields (ATF) to interact with the mechanical displacement field of continuum mechanics. These ATF are directly motivated by the ``internal state variables'' of materials science. The coupled partial differential equations that govern the dynamic behavior of a uniaxial rod are numerically solved within the computational framework of the finite element method, resulting in ``ATF-damped'' finite elements. Previous work in the development of this modeling technique is characterized by the use of a single augmenting field, with application to lightly-damped rods, beams, and truss structures. New developments include: (1) demonstration of the ability to model the behavior of high-damping materials; and (2) the use of multiple augmenting fields to model materials whose behavior departs significantly from that of standard anelastic solids.

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M3 - Article

SP - 344

EP - 357

JO - ASTM Special Technical Publication

JF - ASTM Special Technical Publication

SN - 0066-0558

IS - 1169

ER -