[INVITED] An overview of the state of art in laser welding simulation

Abstract The work presented in this paper deals with the laser welding simulation. Due to the rise of laser processing in industry, its simulation takes also more and more place. Nevertheless, the physical phenomena occurring are quite complex and, above all, very coupled. Thus, a state of art is necessary to summarize phenomena that have to be considered. Indeed, the electro-magnetic wave interacts with the material surface, heating the piece until the fusion and the vaporization. The vaporization induces a recoil pressure and deforms the liquid/vapor interface creating a vapor capillary. The heat diffused in the material produces thermal dilatation leading to mechanical stress and strain. As a complete simulation is too large to be computed with one model, the literature is composed by two kinds of models, the thermo-mechanical simulations and the multi-physical simulations. The first aims to find the mechanical stress and strain due to the welding. The model is usually simplified in order to reduce the simulation size. The second, compute the more accurately the thermal and the velocity fields. In that case authors usually search also the size of the weld bead and want to be totally self consistent. In this review, the major part of equations and assumptions needed to simulate laser welding are shown. Their effects on simulation results are illustrated for each simulation type. The paper aims to give sufficient knowledge and tools to allow a simulation of laser welding.

[1]  P. Masson,et al.  Modelisation thermo-hydraulique tridimensionnelle du soudage laser et validation experimentale , 2014 .

[2]  C. Knight Theoretical Modeling of Rapid Surface Vaporization with Back Pressure , 1979 .

[3]  Kang Li,et al.  Modeling of temperature field and pool formation during linear laser welding of DP1000 steel , 2014 .

[4]  M. Medale,et al.  A Thermo-Hydraulic Numerical Model for High Energy Welding Processes , 2004 .

[5]  E. Ragneau,et al.  Nd:YAG Laser Welding of Sheet Metal Assembly: Transformation Induced Volume Strain Affect on Elastoplastic Model , 2013 .

[6]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[7]  Jean-Baptiste Leblond,et al.  A new kinetic model for anisothermal metallurgical transformations in steels including effect of austenite grain size , 1984 .

[8]  Zhuguo Li,et al.  Formation and influence mechanism of keyhole-induced porosity in deep-penetration laser welding based on 3D transient modeling , 2015 .

[9]  Andreas Otto,et al.  Multiphysical Simulation of Laser Material Processing , 2012 .

[10]  Nilanjan Chakraborty,et al.  The effects of turbulence on molten pool transport during melting and solidification processes in continuous conduction mode laser welding of copper–nickel dissimilar couple , 2009 .

[11]  S. Ko,et al.  Mechanism of keyhole formation and stability in stationary laser welding , 2002 .

[12]  Alberto Cardona,et al.  Finite element modeling of welding processes , 2011 .

[13]  P. Masson,et al.  A new approach to compute multi-reflections of laser beam in a keyhole for heat transfer and fluid flow modelling in laser welding , 2013 .

[14]  R. Fabbro,et al.  Experimental determination of temperature threshold for melt surface deformation during laser interaction on iron at atmospheric pressure , 2011 .

[15]  J. Hecht,et al.  Introduction to Laser Technology , 2001 .

[16]  X. Shao,et al.  3D transient multiphase model for keyhole, vapor plume, and weld pool dynamics in laser welding including the ambient pressure effect , 2015 .

[17]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[18]  Akira Matsunawa,et al.  The simulation of front keyhole wall dynamics during laser welding , 1997 .

[19]  Antonio Fasano,et al.  Numerical solution of phase-change problems , 1973 .

[20]  J. Goldak,et al.  A new finite element model for welding heat sources , 1984 .

[21]  M. Karszewski,et al.  Theoretical modelling and experimental investigations of the diode-pumped thin-disk Yb : YAG laser , 1999 .

[22]  Ronald Fedkiw,et al.  A Boundary Condition Capturing Method for Multiphase Incompressible Flow , 2000, J. Sci. Comput..

[23]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[24]  Michael Schmidt,et al.  Application of Bessel beams for ultrafast laser volume structuring of non transparent media , 2010 .

[25]  Xi Chen,et al.  A calculation model for the evaporation recoil pressure in laser material processing , 2001 .

[26]  R. Fabbro,et al.  Modelling of gas jet effect on the melt pool movements during deep penetration laser welding , 2008 .

[27]  Matthew W. Williams,et al.  A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework , 2006, J. Comput. Phys..

[28]  M. Zain-ul-Abdein,et al.  Prediction of laser beam welding-induced distortions and residual stresses by numerical simulation for aeronautic application , 2009 .

[29]  G. Labeas,et al.  Laser beam welding residual stresses of cracked T-joints , 2013 .

[30]  F. Vollertsen,et al.  Numerical simulation of molten pool dynamics in high power disk laser welding , 2012 .

[31]  Weiqi Wang,et al.  A Quantitative Model of Keyhole Instability Induced Porosity in Laser Welding of Titanium Alloy , 2014, Metallurgical and Materials Transactions A.

[32]  J. Bergheau,et al.  Modelling of Heat Transfers, Phase Changes and Mechanical Behaviour during Welding , 2004 .

[33]  Remy Fabbro,et al.  Explanation of penetration depth variation during laser welding under variable ambient pressure , 2015 .

[34]  Michael Schmidt,et al.  Towards a universal numerical simulation model for laser material processing , 2010 .

[35]  S. Muthukumaran,et al.  Simulation of laser butt welding of AISI 316L stainless steel sheet using various heat sources and experimental validation , 2015 .

[36]  M. Zain-ul-Abdein,et al.  Experimental investigation and finite element simulation of laser beam welding induced residual stresses and distortions in thin sheets of AA 6056-T4 , 2010 .

[37]  Marc Medale,et al.  An axi-symmetric thermo-hydraulic model to better understand spot laser welding , 2008 .

[38]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[39]  Andreas Otto,et al.  Numerical Simulations - A Versatile Approach for Better Understanding Dynamics in Laser Material Processing , 2011 .

[40]  C. Arvieu,et al.  Control of aluminium laser welding conditions with the help of numerical modelling , 2013 .

[41]  Santosh Kumar,et al.  Thermo-metallurgical and thermo-mechanical computations for laser welded joint in 9Cr–1Mo(V, Nb) ferritic/martensitic steel , 2014 .

[42]  P. Carman Fluid flow through granular beds , 1997 .

[43]  Manfred Geiger,et al.  A 3D transient model of keyhole and melt pool dynamics in laser beam welding applied to the joining of zinc coated sheets , 2009, Prod. Eng..

[44]  Vaughan R Voller,et al.  ENTHALPY-POROSITY TECHNIQUE FOR MODELING CONVECTION-DIFFUSION PHASE CHANGE: APPLICATION TO THE MELTING OF A PURE METAL , 1988 .

[45]  Y. Shin,et al.  Investigation of keyhole plume and molten pool based on a three-dimensional dynamic model with sharp interface formulation , 2013 .

[46]  R. Fabbro,et al.  Experimental investigation of hydrodynamics of melt layer during laser cutting of steel , 2011 .

[47]  T. DebRoy,et al.  Surface tension of binary metal—surface active solute systems under conditions relevant to welding metallurgy , 1988 .

[48]  Y. Shin,et al.  Analysis of multi-phase interaction and its effects on keyhole dynamics with a multi-physics numerical model , 2014 .

[49]  P. Masson,et al.  Analysis of hybrid Nd:Yag laser-MAG arc welding processes. , 2011 .

[50]  D. P. Koistinen,et al.  A general equation prescribing the extent of the austenite-martensite transformation in pure iron-carbon alloys and plain carbon steels , 1959 .

[51]  Franco Bonollo,et al.  The influence of phase transformations on residual stresses induced by the welding process—3D and 2D numerical models , 2006 .

[52]  A. Evans,et al.  Residual stresses in laser welded ASTM A387 Grade 91 steel plates , 2013 .

[53]  Stefan Riekehr,et al.  Residual stress analysis of laser spot welding of steel sheets , 2009 .

[54]  Marc Medale,et al.  A thermo-hydraulic numerical model to study spot laser welding , 2007 .

[55]  J. Mazumder,et al.  Modeling of laser keyhole welding: Part I. mathematical modeling, numerical methodology, role of recoil pressure, multiple reflections, and free surface evolution , 2002 .

[56]  Sergei I. Anisimov,et al.  Vaporization of Metal Absorbing Laser Radiation , 1968 .

[57]  F. Träger Springer Handbook of Lasers and Optics , 2007 .

[58]  Tao Chen,et al.  A three-dimensional sharp interface model for self-consistent keyhole and weld pool dynamics in deep penetration laser welding , 2011 .

[59]  Jean-Baptiste Leblond,et al.  New Methods for Numerical Simulation of Welding of Large Thin Structures , 2004 .

[60]  J. Mazumder,et al.  Physics of zinc vaporization and plasma absorption during CO2 laser welding , 2007 .

[61]  Suck-Joo Na,et al.  Implementation of real-time multiple reflection and Fresnel absorption of laser beam in keyhole , 2006 .

[62]  Nilanjan Chakraborty,et al.  Modelling of turbulent molten pool convection in laser welding of a copper–nickel dissimilar couple , 2007 .