Thermo‐Mechanical Analysis with Phase Transformations

H.J.M. Geijselaers; J. Huetink

doi:10.1063/1.1766742

Thermo‐Mechanical Analysis with Phase Transformations

H.J.M. Geijselaers, J. Huetink

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

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Abstract

Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.

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	1508-1513
ISBN (Electronic)	0-7354-0189-6
ISBN (Print)	0-7354-0188-8
DOIs	https://doi.org/10.1063/1.1766742
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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10.1063/1.1766742

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Geijselaers, H. J. M., & Huetink, J. (2004). Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513). (AIP Conference Proceedings; Vol. 712). American Institute of Physics. https://doi.org/10.1063/1.1766742

Geijselaers, H.J.M. ; Huetink, J. / Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513 (AIP Conference Proceedings).

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title = "Thermo‐Mechanical Analysis with Phase Transformations",

abstract = "Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.",

author = "H.J.M. Geijselaers and J. Huetink",

year = "2004",

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day = "13",

doi = "10.1063/1.1766742",

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series = "AIP Conference Proceedings",

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editor = "Somnath Ghosh and Castro, \{Jose M.\} and Lee, \{June K.\}",

booktitle = "Materials processing and design : modeling, simulation and applications",

address = "United States",

note = "8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004, NUMIFORM ; Conference date: 13-06-2004 Through 17-06-2004",

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Geijselaers, HJM & Huetink, J 2004, Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513, 8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004, Columbus, Ohio, United States, 13/06/04. https://doi.org/10.1063/1.1766742

Thermo‐Mechanical Analysis with Phase Transformations. / 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. 1508-1513 (AIP Conference Proceedings; Vol. 712).

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

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N1 - Conference code: 8

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N2 - Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.

AB - Constitutive equations for simulations of thermo‐mechanical processes, involving solid‐solid phase transformations are derived. The rate of phase transformation is assumed to depend on temperature as well as stress state. The constitutive equations comprise latent heat of transformation, transformation dilatation and transformation induced plasticity. Consistent moduli are derived for finite time steps. The constitutive equations are implemented in a finite element model, which has displacements and heat flows as primary variables. The temperatures, phase fractions, stresses and equivalent strains are treated as state variables and are evaluated in element integration points. The model is demonstrated on simulations of laser hardening.

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DO - 10.1063/1.1766742

M3 - Conference contribution

SN - 0-7354-0188-8

T3 - AIP Conference Proceedings

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BT - Materials processing and design : modeling, simulation and applications

A2 - Ghosh, Somnath

A2 - Castro, Jose M.

A2 - Lee, June K.

PB - American Institute of Physics

CY - Melville, NY

T2 - 8th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2004

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Geijselaers HJM, Huetink J. Thermo‐Mechanical Analysis with Phase Transformations. 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. 1508-1513. (AIP Conference Proceedings). doi: 10.1063/1.1766742

Thermo‐Mechanical Analysis with Phase Transformations

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