GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrillic)
    • Serbian (Latin)
  • Login
View Item 
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

3D modeling of material heating with the laser beam for cylindrical geometry

Thumbnail
2006
128.pdf (1.028Mb)
Authors
Gospavić, Radovan
Srećković, Milesa
Popov, Viktor
Todorović, Goran
Article (Published version)
Metadata
Show full item record
Abstract
In this work an analytical approach for analyzing heating of material with a laser beam is presented. A thermal model of interaction for the case of cylindrical geometry of the material and asymmetric distribution of the laser beam intensity is used and an analytical procedure is developed to analyze the temporal and the spatial distribution of the temperature field inside the bulk of material. This kind of consideration is of practical interest in cases where the excitation by the laser beam is not symmetric in respect to its position or shape, e.g., multi-mode working regimes or asymmetrical distribution of the laser beam intensity. The heating effects were considered in the temperature range up to the melting point. The thermal and the optical parameters of the material were assumed to be independent of the temperature and were given constant values in the temperature range of interest. This approach makes use of the Laplace transform, in order to eliminate dependence on time. The F...ourier method of variable separation was used to obtain the temperature field distribution in the Laplace transform domain. By using the pulse response and Duhamel's principle the 3D temperature field distribution in time domain is obtained. By using an appropriate set of orthogonal functions in r directions, the numerical procedure is made more effective, saving this way the CPU time. The general solutions for the temporal as well as spatial temperature field distributions are evaluated in a closed form in terms of the particular solutions of the governing partial differential equation (PDE). Because of linearity of the governing PDE, the superposition principle was used in the case of complex distributions of the laser beam intensity. The influence of different kinds of laser beam parameters to the temperature field distributions was considered.

Keywords:
3D modeling / laser / thermal model / temperature field / multi-mode
Source:
Mathematical and Computer Modelling, 2006, 43, 5-6, 620-631
Publisher:
  • Elsevier Ltd

DOI: 10.1016/j.mcm.2005.11.011

ISSN: 0895-7177

WoS: 000236572200013

Scopus: 2-s2.0-33644686030
[ Google Scholar ]
9
8
URI
https://grafar.grf.bg.ac.rs/handle/123456789/130
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - JOUR
AU  - Gospavić, Radovan
AU  - Srećković, Milesa
AU  - Popov, Viktor
AU  - Todorović, Goran
PY  - 2006
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/130
AB  - In this work an analytical approach for analyzing heating of material with a laser beam is presented. A thermal model of interaction for the case of cylindrical geometry of the material and asymmetric distribution of the laser beam intensity is used and an analytical procedure is developed to analyze the temporal and the spatial distribution of the temperature field inside the bulk of material. This kind of consideration is of practical interest in cases where the excitation by the laser beam is not symmetric in respect to its position or shape, e.g., multi-mode working regimes or asymmetrical distribution of the laser beam intensity. The heating effects were considered in the temperature range up to the melting point. The thermal and the optical parameters of the material were assumed to be independent of the temperature and were given constant values in the temperature range of interest. This approach makes use of the Laplace transform, in order to eliminate dependence on time. The Fourier method of variable separation was used to obtain the temperature field distribution in the Laplace transform domain. By using the pulse response and Duhamel's principle the 3D temperature field distribution in time domain is obtained. By using an appropriate set of orthogonal functions in r directions, the numerical procedure is made more effective, saving this way the CPU time. The general solutions for the temporal as well as spatial temperature field distributions are evaluated in a closed form in terms of the particular solutions of the governing partial differential equation (PDE). Because of linearity of the governing PDE, the superposition principle was used in the case of complex distributions of the laser beam intensity. The influence of different kinds of laser beam parameters to the temperature field distributions was considered.
PB  - Elsevier Ltd
T2  - Mathematical and Computer Modelling
T1  - 3D modeling of material heating with the laser beam for cylindrical geometry
EP  - 631
IS  - 5-6
SP  - 620
VL  - 43
DO  - 10.1016/j.mcm.2005.11.011
ER  - 
@article{
author = "Gospavić, Radovan and Srećković, Milesa and Popov, Viktor and Todorović, Goran",
year = "2006",
abstract = "In this work an analytical approach for analyzing heating of material with a laser beam is presented. A thermal model of interaction for the case of cylindrical geometry of the material and asymmetric distribution of the laser beam intensity is used and an analytical procedure is developed to analyze the temporal and the spatial distribution of the temperature field inside the bulk of material. This kind of consideration is of practical interest in cases where the excitation by the laser beam is not symmetric in respect to its position or shape, e.g., multi-mode working regimes or asymmetrical distribution of the laser beam intensity. The heating effects were considered in the temperature range up to the melting point. The thermal and the optical parameters of the material were assumed to be independent of the temperature and were given constant values in the temperature range of interest. This approach makes use of the Laplace transform, in order to eliminate dependence on time. The Fourier method of variable separation was used to obtain the temperature field distribution in the Laplace transform domain. By using the pulse response and Duhamel's principle the 3D temperature field distribution in time domain is obtained. By using an appropriate set of orthogonal functions in r directions, the numerical procedure is made more effective, saving this way the CPU time. The general solutions for the temporal as well as spatial temperature field distributions are evaluated in a closed form in terms of the particular solutions of the governing partial differential equation (PDE). Because of linearity of the governing PDE, the superposition principle was used in the case of complex distributions of the laser beam intensity. The influence of different kinds of laser beam parameters to the temperature field distributions was considered.",
publisher = "Elsevier Ltd",
journal = "Mathematical and Computer Modelling",
title = "3D modeling of material heating with the laser beam for cylindrical geometry",
pages = "631-620",
number = "5-6",
volume = "43",
doi = "10.1016/j.mcm.2005.11.011"
}
Gospavić, R., Srećković, M., Popov, V.,& Todorović, G.. (2006). 3D modeling of material heating with the laser beam for cylindrical geometry. in Mathematical and Computer Modelling
Elsevier Ltd., 43(5-6), 620-631.
https://doi.org/10.1016/j.mcm.2005.11.011
Gospavić R, Srećković M, Popov V, Todorović G. 3D modeling of material heating with the laser beam for cylindrical geometry. in Mathematical and Computer Modelling. 2006;43(5-6):620-631.
doi:10.1016/j.mcm.2005.11.011 .
Gospavić, Radovan, Srećković, Milesa, Popov, Viktor, Todorović, Goran, "3D modeling of material heating with the laser beam for cylindrical geometry" in Mathematical and Computer Modelling, 43, no. 5-6 (2006):620-631,
https://doi.org/10.1016/j.mcm.2005.11.011 . .

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceCommunitiesAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB