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Finite element models for use in mechanics including geological engineering

Weston, Richard LU and Cedell, Tord LU (1998) In Engineering Geology 49(3-4). p.363-369
Abstract
A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the... (More)
A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the Newmark method. This model was verified by comparing the differential step-response of the system calculated with the time propagation method, to the frequency function of the system, calculated with the harmonic model. Further, non-linear and non-linear transient models were developed and discussed. The non-linear transient model was developed for a situation where a Terfenol rod was assumed to collide periodically with a rigid wall, thus indicating a tool for analysing a Terfenol based resonant system, which could be used, for example, for ultrasonic cutting of hard and brittle materials and also for rock-blasting. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Finite elements, Magnetostriction, Modelling, Non-linearity, Transient modelling
in
Engineering Geology
volume
49
issue
3-4
pages
363 - 369
publisher
Elsevier
external identifiers
  • scopus:0032473736
ISSN
0013-7952
DOI
10.1016/S0013-7952(97)00068-9
language
English
LU publication?
yes
id
7d53d560-4cd1-4168-bfa7-112a87acf938 (old id 1513083)
date added to LUP
2009-12-22 09:39:03
date last changed
2017-01-01 07:05:05
@article{7d53d560-4cd1-4168-bfa7-112a87acf938,
  abstract     = {A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the Newmark method. This model was verified by comparing the differential step-response of the system calculated with the time propagation method, to the frequency function of the system, calculated with the harmonic model. Further, non-linear and non-linear transient models were developed and discussed. The non-linear transient model was developed for a situation where a Terfenol rod was assumed to collide periodically with a rigid wall, thus indicating a tool for analysing a Terfenol based resonant system, which could be used, for example, for ultrasonic cutting of hard and brittle materials and also for rock-blasting.},
  author       = {Weston, Richard and Cedell, Tord},
  issn         = {0013-7952},
  keyword      = {Finite elements,Magnetostriction,Modelling,Non-linearity,Transient modelling},
  language     = {eng},
  number       = {3-4},
  pages        = {363--369},
  publisher    = {Elsevier},
  series       = {Engineering Geology},
  title        = {Finite element models for use in mechanics including geological engineering},
  url          = {http://dx.doi.org/10.1016/S0013-7952(97)00068-9},
  volume       = {49},
  year         = {1998},
}