Finite elements for dynamic modeling of uniaxial rods with frequency-dependent material properties

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

New developments in a method of modeling frcquency-depedent 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 which 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 characterised by the use of a single augmenting field, with application to lightly-damped rods, bourns 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 languageEnglish (US)
Pages (from-to)1567-1579
Number of pages13
JournalInternational Journal of Solids and Structures
Volume29
Issue number12
DOIs
StatePublished - Jan 1 1992

Fingerprint

Dynamic Modeling
Material Properties
Materials properties
rods
Thermodynamics
Finite Element
thermodynamics
Dependent
Damping
damping
continuum mechanics
Continuum mechanics
dynamic structural analysis
Structural dynamics
Materials science
materials science
Damped
partial differential equations
Dynamic analysis
Partial differential equations

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

@article{fa4afa2fab484a62a6ddb1e627e17b18,
title = "Finite elements for dynamic modeling of uniaxial rods with frequency-dependent material properties",
abstract = "New developments in a method of modeling frcquency-depedent 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 which 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 characterised by the use of a single augmenting field, with application to lightly-damped rods, bourns 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.",
author = "Lesieutre, {George A.}",
year = "1992",
month = "1",
day = "1",
doi = "10.1016/0020-7683(92)90134-F",
language = "English (US)",
volume = "29",
pages = "1567--1579",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "12",

}

TY - JOUR

T1 - Finite elements for dynamic modeling of uniaxial rods with frequency-dependent material properties

AU - Lesieutre, George A.

PY - 1992/1/1

Y1 - 1992/1/1

N2 - New developments in a method of modeling frcquency-depedent 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 which 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 characterised by the use of a single augmenting field, with application to lightly-damped rods, bourns 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 frcquency-depedent 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 which 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 characterised by the use of a single augmenting field, with application to lightly-damped rods, bourns 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.

UR - http://www.scopus.com/inward/record.url?scp=0026692593&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026692593&partnerID=8YFLogxK

U2 - 10.1016/0020-7683(92)90134-F

DO - 10.1016/0020-7683(92)90134-F

M3 - Article

AN - SCOPUS:0026692593

VL - 29

SP - 1567

EP - 1579

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 12

ER -