Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method

H.J.M. Geijselaers; J. Huetink

doi:10.1063/1.1766743

Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method

H.J.M. Geijselaers, J. Huetink

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.

Original language	English
Title of host publication	Materials processing and design : modeling, simulation and applications
Subtitle of host publication	NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes
Editors	Somnath Ghosh, Jose M. Castro, June K. Lee
Place of Publication	Melville, NY
Publisher	American Institute of Physics
Pages	1514-1519
ISBN (Electronic)	0-7354-0189-6
ISBN (Print)	0-7354-0188-8
DOIs	https://doi.org/10.1063/1.1766743
Publication status	Published - 13 Jun 2004
Event	8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004 - Columbus, United States Duration: 13 Jun 2004 → 17 Jun 2004 Conference number: 8

Publication series

Name	AIP Conference Proceedings
Publisher	AIP
Volume	712
ISSN (Print)	0094-243X

Conference

Conference	8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004
Abbreviated title	NUMIFORM
Country/Territory	United States
City	Columbus
Period	13/06/04 → 17/06/04

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10.1063/1.1766743

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Geijselaers, H. J. M., & Huetink, J. (2004). Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. In S. Ghosh, J. M. Castro, & J. K. Lee (Eds.), Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes (pp. 1514-1519). (AIP Conference Proceedings; Vol. 712). American Institute of Physics. https://doi.org/10.1063/1.1766743

Geijselaers, H.J.M. ; Huetink, J. / Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. editor / Somnath Ghosh ; Jose M. Castro ; June K. Lee. Melville, NY : American Institute of Physics, 2004. pp. 1514-1519 (AIP Conference Proceedings).

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abstract = "One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.",

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Geijselaers, HJM & Huetink, J 2004, Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. in S Ghosh, JM Castro & JK Lee (eds), Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. AIP Conference Proceedings, vol. 712, American Institute of Physics, Melville, NY, pp. 1514-1519, 8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004, Columbus, Ohio, United States, 13/06/04. https://doi.org/10.1063/1.1766743

Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. / Geijselaers, H.J.M.; Huetink, J.
Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. ed. / Somnath Ghosh; Jose M. Castro; June K. Lee. Melville, NY: American Institute of Physics, 2004. p. 1514-1519 (AIP Conference Proceedings; Vol. 712).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - One of the most practical methods for simulation of steady state thermal processing is the Arbitrary Lagrangian‐Eulerian method. Each calculation step is split into two phases. In the first phase, the Lagrangian phase, the element mesh remains attached to the material. The evolution of the state variables is monitored and the state at the end of the phase is calculated. In the second phase, the Eulerian phase, the mesh is, broadly speaking, restored to its original position with respect to a window attached to the moving heat source. The mesh is not restored to its exact original position, but some allowance is made perpendicular to the flow direction in order to capture movement of the free surfaces. In this paper a finite element model for Lagrangian simulation of thermo‐mechanical processes with phase transformations is combined with a second order discontinuous Galerkin method for modeling of Eulerian advection.

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Geijselaers HJM, Huetink J. Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method. In Ghosh S, Castro JM, Lee JK, editors, Materials processing and design : modeling, simulation and applications: NUMIFORM 2004 : proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. Melville, NY: American Institute of Physics. 2004. p. 1514-1519. (AIP Conference Proceedings). doi: 10.1063/1.1766743

Simulation of Steady Laser Hardening by an Arbitrary Lagrangian Eulerian Method

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