Unified Finite Element Formulation to Improve Understanding of Materials Science

Videos of Plenary Lectures presented at the VI International Conference on Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015)

Unified formulation to solve fluid-structure interaction and multi-fluids problems are gaining popularity in many engineering applications, in particular for material forming processes. Indeed, it simplifies different issues related to mesh generation and boundary conditions and increases the flexibility to deal with multiscale problems. We propose in this work a monolithic formulation where the complete problem is written in a fully Eulerian framework and the phases (fluid, solid,…) are separated by a level set function. The obtained system is solved using stabilized finite element methods. We combine this approximation with time-dependent anisotropic mesh adaptation to ensure accurate capturing of the discontinuities at the interfaces. Different use of the levelset function ranging from, grain growth models for the evolutions of microstructure or void disclosure induced by forming operations, to the heat treatment of immersed metallic-alloys inside three-dimensional industrial furnaces will be presented. The advantages and the encountered numerical issues as well as the ongoing investigations related to these formulations will be discussed. 

P. Bouchard, E. Massoni, M. Bernacki, E. Hachem

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== Abstract ==
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Unified formulation to solve fluid-structure interaction and multi-fluids problems are gaining popularity in many engineering applications, in particular for material forming processes. Indeed, it simplifies different issues related to mesh generation and boundary conditions and increases the flexibility to deal with multiscale problems.
 +
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We propose in this work a monolithic formulation where the complete problem is written in a fully Eulerian framework and the phases (fluid, solid,…) are separated by a level set function. The obtained system is solved using stabilized finite element methods. We combine this approximation with time-dependent anisotropic mesh adaptation to ensure accurate capturing of the discontinuities at the interfaces [<span id='cite-1'></span>[[#1|1]]].
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Different use of the levelset function ranging from, grain growth models for the evolutions of microstructure [<span id='cite-2'></span>[[#2|2]]] or void disclosure [<span id='cite-3'></span>[[#3|3]]] induced by forming operations, to the heat treatment of immersed metallic-alloys inside three-dimensional industrial furnaces will be presented [<span id='cite-1'></span>[[#1|1]]]. The advantages and the encountered numerical issues as well as the ongoing investigations related to these formulations will be discussed.
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== Recording of the presentation ==
 
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| Location: San Servolo Complex.  
 
| Location: San Servolo Complex.  
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| Date: 18 - 20 May 2015, San Servo Island, Venice, Italy.
 
| Date: 18 - 20 May 2015, San Servo Island, Venice, Italy.
 
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== General Information ==
 
== General Information ==
 
* Location: San Servolo Complex, Venice, Italy.
 
* Location: San Servolo Complex, Venice, Italy.
 
* Date: 18 - 20 May 2015, San Servo Island, Venice, Italy.
 
* Date: 18 - 20 May 2015, San Servo Island, Venice, Italy.
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* Secretariat: [//www.cimne.com/ CIMNE] Centre Internacional de Metodes Numerics.
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* Secretariat: [//www.cimne.com/ International Center for Numerical Methods in Engineering (CIMNE)].
  
 
== External Links ==
 
== External Links ==
 
* [//congress.cimne.com/coupled2015/frontal/default.asp IV Coupled] Official Website of the Conference.
 
* [//congress.cimne.com/coupled2015/frontal/default.asp IV Coupled] Official Website of the Conference.
 
* [//www.cimnemultimediachannel.com/ CIMNE Multimedia Channel]
 
* [//www.cimnemultimediachannel.com/ CIMNE Multimedia Channel]
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==References==
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<div id="1"></div>
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[[#cite-1|[1]]] E. Hachem, H. Digonnet, E. Massoni, T. Coupez, Immersed volume method for solving natural
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convection, conduction and radiation of a hat-shaped disk inside a 3D enclosure, International Journal of
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Numerical Methods for Heat & Fluid Flow, Vol. 22 (6), pp.718 - 741, 2012
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<div id="2"></div>
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[[#cite-2|[2]]] A. Agnoli, N. Bozzolo, R. Logé, J.-M. Franchet, J. Laigo, M. Bernacki, Development of a level set
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methodology to simulate grain growth in the presence of real secondary phase particles and stored
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energy-Application to a nickel-base superalloy, Computational Materials Science,89(2014)233-24
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<div id="3"></div>
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[[#cite-3|[3]]] E. Roux, M. Bernacki, P.O. Bouchard, A level-set and anisotropic adaptive remeshing strategy for the
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modelling of void growth under large plastic strain, Computational Materials Science 68 (2013) 32-46

Latest revision as of 17:01, 20 July 2016

Abstract

Unified formulation to solve fluid-structure interaction and multi-fluids problems are gaining popularity in many engineering applications, in particular for material forming processes. Indeed, it simplifies different issues related to mesh generation and boundary conditions and increases the flexibility to deal with multiscale problems.

We propose in this work a monolithic formulation where the complete problem is written in a fully Eulerian framework and the phases (fluid, solid,…) are separated by a level set function. The obtained system is solved using stabilized finite element methods. We combine this approximation with time-dependent anisotropic mesh adaptation to ensure accurate capturing of the discontinuities at the interfaces [1].

Different use of the levelset function ranging from, grain growth models for the evolutions of microstructure [2] or void disclosure [3] induced by forming operations, to the heat treatment of immersed metallic-alloys inside three-dimensional industrial furnaces will be presented [1]. The advantages and the encountered numerical issues as well as the ongoing investigations related to these formulations will be discussed.

Recording of the presentation

id=https://youtu.be/G3s4E-vI2u0 | alignment=center}}
Location: San Servolo Complex.
Date: 18 - 20 May 2015, San Servo Island, Venice, Italy.

General Information

External Links

References

[1] E. Hachem, H. Digonnet, E. Massoni, T. Coupez, Immersed volume method for solving natural convection, conduction and radiation of a hat-shaped disk inside a 3D enclosure, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 (6), pp.718 - 741, 2012

[2] A. Agnoli, N. Bozzolo, R. Logé, J.-M. Franchet, J. Laigo, M. Bernacki, Development of a level set methodology to simulate grain growth in the presence of real secondary phase particles and stored energy-Application to a nickel-base superalloy, Computational Materials Science,89(2014)233-24

[3] E. Roux, M. Bernacki, P.O. Bouchard, A level-set and anisotropic adaptive remeshing strategy for the modelling of void growth under large plastic strain, Computational Materials Science 68 (2013) 32-46

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Published on 30/06/16

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Engineering, Civil

Engineering, Mechanical

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