TY - CONF A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - Multiphysics process simulation of the electromagnetic-supported laser beam welding N2 - A three-dimensional laminar steady state numerical model was used to investigate the influence of an alternating current (ac) magnetic field during high power laser beam keyhole welding of 20 mm thick nonferromagnetic aluminum. COMSOL Multiphysics was used to calculate the threedimensional heat transfer, fluid dynamics and electromagnetic field equations. Most important physical effects of the process were taken into account: Thermo-capillary (Marangoni) convection at the upper and lower weld pool boundaries, natural convection due to gravity and latent heat of solid-liquid phase transition. It is shown that the gravity drop-out associated with welding of thick plates due to the hydrostatic pressure can be prevented by the application of an ac magnetic field. The application of an oscillating magnetic field of 70 mT was investigated to allow for singlepass laser beam welding of thick aluminum plates. The flow pattern in the molten zone and the temperature distributions are significantly changed. T2 - COMSOL Conference 2011 CY - Ludwigsburg, Germany DA - 2011-10-26 KW - Electromagnetic weld pool support KW - Laser beam welding KW - Lorentz force KW - Marangoni stresses KW - Natural convection PY - 2011 SN - 978-0-9839688-0-1 IS - 11122 / 8567_bachmann_paper SP - 1 EP - 7 CY - Stuttgart AN - OPUS4-24845 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - Magnets improve quality of high-power laser beam welding N2 - High-power laser beam welding uses a localized heat source to achieve narrow deep welds and high welding rates. Engineers run into some difficulties because the use of a localized heat source often results in the distortion of metal components; spattering and the ejection of droplets from the weld pool results in underfills, undercuts, craters, blowholes, or blowouts. A stationary magnetic field is applied to the laser welding process to improve its quality and counteract effects such as spattering. BAM Federal Institute For Materials Research and Testing in Germany are working to improve the quality of high-power laser beam welding using COMSOL Multiphysics. To model and simulate the laser beam welding, heat transfer, fluid dynamics, and electromagnetics were coupled and solved. This allowed BAM to accurately model the process by including Marangoni effects, gravity, latent heats of fusion, and Lorentz forces. KW - Laser beam welding KW - Electromagnetic weld pool control KW - Marangoni effect PY - 2013 SP - 30 EP - 32 AN - OPUS4-28655 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - Numerical simulation of electromagnetic melt control systems in high power laser beam welding N2 - The availability of laser sources with a power of 20 kW upwards prepared the ground for laser beam welding of up to 20 mm thick metal parts. Challenges are the prevention of gravity-driven melt drop-out and the control of the dynamics mainly due to the Marangoni flow. Coupled numerical turbulent fluid flow, thermal and electromagnetic simulations and experimental validation with aluminum AlMg3 and stainless steel AISI 304 were done for alternating and steady magnetic fields perpendicular to the process direction. The first can prevent melt sagging in full-penetration welding by Lorentz forces in the melt induced by an AC magnet located below the weld specimen counteracting gravitational forces. The latter controls the Marangoni flow by Lorentz braking forces in the melt by the so-called Hartmann effect. The simulations show that the drop-out of aluminum and stainless steel can be avoided for 20 mm thick fullpenetration welds with moderate magnetic flux densities of 70 mT and 95 mT at oscillation frequencies of 450 Hz and 3 kHz, respectively. The experiments are in good agreement but show somewhat larger values for steel, whose weakly ferromagnetic properties are a possible reason. The investigations with steady magnetic fields reveal the possibility to mitigate the dynamics significantly beginning with around 500 mT at laser penetration depths of approximately 20 mm. T2 - ICALEO 2013 - 32nd International congress on applications of lasers & electro-optics CY - Miami, FL, USA DA - 06.10.2013 KW - Laser beam welding KW - Electromagnetic weld pool support KW - Hartmann effect PY - 2013 SN - 978-0-912035-98-7 IS - Paper 401 SP - 50 EP - 59 AN - OPUS4-29466 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel T1 - A parametric study of the laser energy absorption in high power laser beam welding N2 - Laser energy absorption on the keyhole wall is decisive for the thermodynamic behavior and the resultant weld properties in the high-power laser beam welding process. However, its highly transient nature on a microsecond scale makes the quantitative analysis challenging. In this paper, the influence of the relevant welding parameters on laser energy absorption is studied statistically by utilizing multiphysical modeling, in which the three-dimensional transient keyhole dynamics and thermo-fluid flow are calculated. A dynamic mesh adaption technique and a localized level-set-based ray-tracing method are employed to improve the model accuracy further. The results show that the focus position has a remarkable effect on the time-averaged laser absorption, and in contrast, the laser energy distribution regime is only slightly influenced by the welding speed in the studied parameter range (1.5–3.0 m/min). The absorption ratio of the laser energy on the keyhole front wall decreases with increasing welding speed and increases with upward-moving focus positions. The comparison between the calculated results and the experimental measurements ensures the validity of the proposed model. T2 - International Congress of Applications of Lasers & Electro-Optics 2024 CY - Los Angeles, CA, USA DA - 03.11.2024 KW - Laser beam welding KW - Laser energy absorption KW - Weld pool KW - Parametric study KW - Multiphysics modeling PY - 2024 AN - OPUS4-61619 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Yang, Chunliang A1 - Yang, Fan A1 - Meng, Xiangmeng A1 - Bachmann, Marcel A1 - Putra, Stephen Nugraha A1 - Rethmeier, Michael T1 - Experimental and numerical study on grain refinement in electromagnetic assisted laser beam welding of 5754 al alloy N2 - Through experimental observation and auxiliary numerical simulation, this investigation studies the different types of grain refinement of 5754 aluminum alloy laser beam welding by applying a transverse oscillating magnetic field. Scanning electron microscope results have proved that the application of a magnetic field can reduce the average crystal branch width and increase its number. The interaction between the induced eddy current generated by the Seebeck effect and the applied external magnetic field produces a Lorentz force, which is important for the increase in the number of crystal branches. Based on the theory of dendrite fragmentation and the magnetic field-induced branches increment, the grain size reduction caused by the magnetic field is studied. Furthermore, the effects of the magnetic field are ana lyzed by combining a phase field method model and simulations of nucleation and grain growth. The grain distribution and average grain size after welding verify the reliability of the model. In addition, the introduction of a magnetic field can increase the number of periodic three-dimensional solidification patterns. In the intersection of two periods of solidification patterns, the metal can be re-melted and then re-solidified, which prevents the grains, that have been solidified and formed previously, from further growth and generates some small cel lular grains in the new fusion line. The magnetic field increases the building frequency of these solidification structures and thus promotes this kind of grain refinement. T2 - ICALEO 2023 CY - Chicago, IL, USA DA - 16.10.2023 KW - Laser beam welding KW - Magnetic field KW - Crystal branch development KW - Grain refinement KW - Periodic solidification pattern PY - 2023 AN - OPUS4-58493 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - Numerical simulation of full-penetration laser beam welding of thick aluminium plates with inductive support N2 - A three-dimensional laminar steady-state numerical model was developed to investigate the influence of an alternating current (ac) magnetic field during high-power full-penetration laser welding on the weld pool dynamics and weld cross section of a 20 mm thick aluminium plate in flat position. Three-dimensional heat transfer, fluid dynamics including phase transition and electromagnetic field partial differential equations were solved iteratively with the commercial finite element software COMSOL Multiphysics using temperature-dependent material properties up to evaporation temperature. Thermocapillary convection at the weld pool surfaces, natural convection and latent heat of solid–liquid phase transition were taken into account in this model. Solidification was modelled by the Carman–Kozeny equation for porous media morphology. The ac magnet was mounted on the root side of the weld specimen. The magnetic field was aligned perpendicular to the welding direction. The flow pattern in the melt and thus also the temperature distribution were significantly changed by the application of oscillating magnetic fields. It was shown that the application of an ac magnetic field to laser beam welding allows for a prevention of the gravity drop-out. The simulation results are in good qualitative agreement with the experimental observations. KW - Electromagnetic weld pool support KW - Laser beam welding KW - Lorentz force KW - Marangoni stresses KW - Natural convection PY - 2012 DO - https://doi.org/10.1088/0022-3727/45/3/035201 SN - 0022-3727 SN - 1361-6463 VL - 45 IS - 3 SP - 035201-1 - EP - 035201-13 PB - IOP Publ. CY - Bristol AN - OPUS4-25286 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel T1 - Multi-physical finite element simulation of an electromagnetic weld pool support in full-penetration high power laser beam welding of metal plates T2 - 10th International Seminar Numerical Analysis of Weldability CY - Seggauberg, Austria DA - 2012-09-24 PY - 2012 AN - OPUS4-26779 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - About the influence of a steady magnetic field on weld pool dynamics in partial penetration high power laser beam welding of thick aluminium parts N2 - A multi-physics numerical model was developed to investigate the influence of a steady magnetic field aligned perpendicular to the welding direction during partial penetration high power laser beam welding of aluminium in downhand position. Three-dimensional heat transfer, fluid dynamics including phase transition and electromagnetic field partial differential equations were successfully solved with the finite element differential equation solver COMSOL Multiphysics 4.2. The implemented material model used temperature-dependent properties up to evaporation temperature. Marangoni convection in the surface region of the weld pool, natural convection due to the gravitational field and latent heat of solid–liquid phase transition were taken into account. Solidification was modelled by the Carman–Kozeny equation for porous media morphology. The flow pattern in the melt as well as the weld bead geometry were significantly changed by the induced Lorentz force distribution in the liquid metal. It reveals that the application of a steady magnetic field to laser beam welding with corresponding Hartmann numbers Ha2 ≈ 104 allows for a suppression of the characteristic wineglass-shape of the weld cross section caused by thermocapillary flow. The numerical results are in good agreement with experimental results obtained with welding of AlMg3 with a 16 kW disc laser. The steady magnetic field was delivered by permanent magnets mounted on both lateral sides of the weld specimen. The maximum magnetic flux density was around 500 mT. It shows, that the applied magnetic field has a predominant dissipating effect on the weld pool dynamics independently of its polarity. KW - Electromagnetic weld pool control KW - Hartmann effect KW - Laser beam welding KW - Lorentz force KW - Marangoni flow KW - Natural convection PY - 2013 DO - https://doi.org/10.1016/j.ijheatmasstransfer.2013.01.015 SN - 0017-9310 VL - 60 SP - 309 EP - 321 PB - Elsevier CY - Amsterdam AN - OPUS4-27655 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - Experimental and numerical investigation of an electromagnetic weld pool support system for high power laser beam wleidng of austenitic stainless steel N2 - A three-dimensional turbulent steady state numerical model was used to investigate the influence of an alternating current (AC) magnetic field during high power laser beam keyhole welding of 20 mm thick stainless steel AISI 304 being modeled as an ideal non-ferromagnetic material. Three-dimensional heat transfer and fluid dynamics as well as the electromagnetic field equations were solved with the finite element package COMSOL Multiphysics 4.2 taking into account the most important physical effects of the process. Namely, the thermo-capillary (Marangoni) convection at the weld pool boundaries, natural convection due to gravity and density differences in the melt volume as well as latent heat of solid–liquid phase transitions at the phase boundaries were included in the model. It is shown that the gravity drop-out associated with the welding of thick plates due to the hydrostatic pressure can be prevented by the application of AC magnetic field between 80 mT and 135 mT for corresponding oscillation frequencies between 1 kHz and 10 kHz below the weld specimen. Experimentally, a value of the magnetic flux density of around 230 mT was found to be necessary to allow for single-pass laser beam welding without sagging or drop-out of melt for a 20 mm thick combination of austenitic stainless steel AISI 304 and ferritic construction steel S235JRC at an oscillation frequency of around 2.6 kHz. KW - Electromagnetic weld pool control KW - Laser beam welding KW - Lorentz force KW - Marangoni flow KW - Natural convection PY - 2014 DO - https://doi.org/10.1016/j.jmatprotec.2013.11.013 SN - 0924-0136 SN - 1873-4774 VL - 214 IS - 3 SP - 578 EP - 591 PB - Elsevier CY - Amsterdam AN - OPUS4-29709 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael ED - Sommitsch, C. ED - Enzinger, N. T1 - Multi-physical finite element simulation of an electromagnetic weld pool support in full-penetration high power laser beam welding of metal plates N2 - The influence of an alternating current (ac) magnetic field during full-penetration laser beam welding of thick metal plates was investigated numerically using a three-dimensional steady state model calculating for the fluid flow, temperature and electromagnetic field variables. The finite element software (FEM) COMSOL Multiphysics was used. Most important physical effects were taken into account here: Thermocapillary (Marangoni) convection, natural convection as well as the latent heat of melting/solidification phase transition. The Carman-Kozeny equation was used to account for porous media morphology in the solid-liquid transition zone. The ac magnet is located below the welded plate. The externally applied magnetic field is aligned parallel to the plate surface and perpendicular to the welding direction. The investigations were conducted for 20 mm aluminium plates. It is shown that a 70 mT(rms) ac magnetic field is enough to prevent the gravity-driven drop-out of the melt. The results of the calculations are in a good agreement with experimental data for 15 kW fibre laser beam welding of up to 30 mm thick Al-alloy plates. T2 - 10th International seminar numerical analysis of weldability CY - Leibnitz, Austria DA - 24.09.2012 KW - Laser beam welding KW - Electromagnetic weld pool support KW - Marangoni convection PY - 2013 SN - 978-3-85125-293-4 VL - 10 SP - 5 EP - 20 PB - Verlag der Technischen Universität Graz AN - OPUS4-29982 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - High power laser beam welding of austenitic stainless steel with electromagnetic weld pool support N2 - Laser deep penetration welding became a widely applied tool in industrial applications due to the available laser power of 20 kW and more for the single-pass welding of steel plates of up to 20 mm. Above a critical limit, liquid metal tends to drop out of the weld bead due to the hydrostatic pressure. Laser beam welding in contrast to electron beam welding technique allows for an electromagnetic manipulation of the fluid flow in the weld pool. An alternating current electromagnetic system for the compensation of the hydrostatic pressure by induced Lorentz forces in the melt was experimentally and numerically investigated for single-pass full-penetration welding of up to 20 mm austenitic stainless steel plates grade AISI 304. It was shown, that the application of magnetic fields between 200 mT and 234 mT at an oscillation frequency of around 2.6 kHz lead to a full compensation of the hydrostatic forces in the melt for plate thicknesses between 10 mm and 20 mm, respectively. Coupled fluid flow, thermal and electromagnetic finite element simulations were done with different applied magnetic flux densities and oscillation frequencies calculating for the optimal magnetic field strength to avoid melt sagging in the weld pool. The simulation results point to a lower magnetic field density needed for that purpose. The reason for that can lie in the magnetic properties of the material not being totally non-ferromagnetic. T2 - LTWMP '13 - 6th International conference "Laser technologies in welding and materials processing" CY - Katsively, Crimea, Ukraine DA - 27.05.2013 PY - 2013 SN - 978-966-96309-2-6 SP - 11 EP - 14 AN - OPUS4-29986 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Meng, Xiangmeng A1 - Putra, Stephen Nugraha A1 - Bachmann, Marcel A1 - Rethmeier, Michael T1 - A statistical assessment of the laser energy absorption and keyhole stability in high-power laser welding N2 - The behavior of the molten pool and final weld qualities in high-power laser welding are significantly influenced by laser absorption and keyhole stability. However, the dynamic features involved make the in-depth analyses challenging. This study addresses the challenges by conducting a thorough statistical evaluation of the effects of key welding parameters on laser absorption and keyhole fluctuations, using experimental investigations and a robustly validated multi-physics model. From a statistical aspect, the laser energy distribution and the keyhole collapse, commonly considered to be highly time-varying, show certain regularities, for example, three distinct regions of the temporally averaged energy distribution and a universal normal distribution of the keyhole collapse positions. Further discussion is performed to clarify the greater potential of the statistical data in revealing some well-known, industry-related but unclearly explained findings, such as the saturation of the weld penetration with increasing heat input and the physical basis of the contributions of different welding parameters in the porosity reduction. KW - Laser welding KW - Laser absorption KW - Keyhole stability KW - Porosity defect KW - Multi-physics modeling PY - 2025 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-628367 DO - https://doi.org/10.1016/j.jmapro.2025.03.053 SN - 2212-4616 VL - 141 SP - 885 EP - 896 AN - OPUS4-62836 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel T1 - Fluid Flow Simulation of the Influence of a Steady Magnetic Field on the Weld Pool Dynamics in Deep Penetration Laser Beam Welding of Aluminium T2 - Conference Electromagnetic Processing of Materials Beijing 2012 CY - Beijing, China DA - 2012-10-22 PY - 2012 AN - OPUS4-26854 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bachmann, Marcel A1 - Avilov, Vjaceslav A1 - Gumenyuk, Andrey A1 - Rethmeier, Michael T1 - CFD simulation of the liquid metal flow in high power laser welding of aluminium with electromagnetic weld pool support T2 - 2nd International conference on fluid mechanics and heat and mass transfer 2011 CY - Corfu, Greece DA - 2011-07-14 KW - Electromagnetic weld pool support KW - Laser beam welding KW - Lorentz force KW - Marangoni stresses KW - Natural convection PY - 2011 SN - 978-1-61804-020-6 SP - 179 EP - 184 PB - WSEAS Press AN - OPUS4-24171 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Putra, Stephen Nugraha A1 - Meng, Xiangmeng A1 - Yang, Fan A1 - Bachmann, Marcel A1 - Rethmeier, Michael T1 - Einfluss der temperaturabhängigen Modellierung der Laserstrahlabsorption auf die Schmelzbadgeometrie beim Hochleistungslaserstrahlschweißen N2 - Der Absorptionsgrad metallischer Werkstoffe spielt bei Fügeprozessen mit einer Strahlungsquelle wie dem Hochleistungslaserstrahltiefschweißen eine bedeutende Rolle. Dieser beeinflusst die Menge der absorbierten Laserenergie, welche zum Aufschmelzen sowie zur lokalen Verdampfung des zu verbindenden Materials führt. Die Laserstrahlabsorption wird von vielen physikalischen Faktoren, z.B. Laserprofil, Laserwellenlänge, Materialeigenschaft sowie Temperatur, entschieden. Dennoch wird die Temperaturabhängigkeit in vielen Simulationsarbeiten häufig ignoriert und stattdessen ein empirisch angepasster Parameter zur Kalibrierung der Ergebnisse implementiert. Diese Vorgehensweise wirkt sich negativ auf die Zuverlässigkeit des numerischen Modells sowie auf die Vorhersagbarkeit der Simulationsergebnisse aus. In der vorliegenden Arbeit wird die Temperaturabhängigkeit des Laserabsorptionsgrades in ein selbstkonsistentes zweiphasiges Modell unter Berücksichtigung der gekoppelten 3D-Fluidströmung und Wärmeübertragung einbezogen. Die berechnete Laserstrahlabsorption wird durch die temperaturabhängigen Materialeigenschaften, die Lasercharakteristik und den Einfallswinkel des Laserstrahls bestimmt. Die freie Oberfläche jeder Phase wird mithilfe der Volume-of-Fluid Methode (VOF), berechnet und die Laser-Material-Wechselwirkung wird durch ein implementiertes Ray-Tracing-Verfahren modelliert, welches auf einem lokalisierten Level-Set-Algorithmus basiert. Anschließend wird die transiente Wärmeeinbringung und die Geometrie der Schweißnaht analysiert und mit dem temperaturunabhängigen Absorptionsmodell verglichen. Es wurde festgestellt, dass die Temperaturabhängigkeit der Laserabsorption entscheidend für die genaue Bestimmung der Wärmeeinbringung und der Schmelzbadgeometrie ist. Das entwickelte Modell wurde anhand der experimentellen Untersuchungen validiert und die Bedeutung der Temperaturabhängigkeit bei der Laserstrahlabsorption wurde für die Simulation des Laserstrahltiefschweißens quantifiziert. T2 - 44. Assistentenseminar Füge- und Schweißtechnik CY - Päwesin, Germany DA - 20.09.2023 KW - Laser beam welding KW - Numerical modeling KW - Ray tracing method KW - Weld pool dynamics PY - 2024 UR - https://www.dvs-media.eu/de/neuerscheinungen/4671/44.-assistentenseminar-fuegetechnik SN - 978-3-96144-267-6 VL - 394 SP - 57 EP - 68 PB - DVS Media GmbH CY - Düsseldorf AN - OPUS4-60779 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Artinov, Antoni A1 - Karkhin, Victor A1 - Bachmann, Marcel A1 - Khomich, Pavel A1 - Rethmeier, Michael T1 - МОДЕЛИРОВАНИЕ ГИДРОДИНАМИЧЕСКИХ И ТЕПЛОВЫХ ПРОЦЕССОВ ПРИ ЛАЗЕРНОЙ СВАРКЕ СО СКВОЗНЫМ ПРОПЛАВЛЕНИЕМ N2 - Разработана модель физических процессов при сварке плавлением на основе концепции эквивалентных источников теплоты. Модель включает в себя две части: термогидродинамику сварочной ванны и теплопроводность свариваемого тела вне ванны. В задаче термогидродинамики учитываются температурные зависимости свойств материала, форма парогазового канала, термокапиллярная и естественная конвекция, фазовые превращения и другие физические явления.Приведено решение задачи термогидродинамики методом конечных элементов на примере сварки стальной пластины толщиной 15 мм со сквозным проплавлением лазерным лучом (по технологии "замочная скважина"). Показано, что термокапиллярная конвекция жидкого металла является основной причиной сложной выпукло-вогнутой формы границы ванны с увеличенными размерами в приповерхностных областях. Получено удовлетворительное совпадение расчетных и экспериментальных размеров сварочной ванны. KW - ЛАЗЕРНАЯ СВАРКА KW - СВАРОЧНАЯ ВАННА KW - ЧИСЛЕННОЕ МОДЕЛИРОВАНИЕ KW - ГИДРОДИНАМИКА KW - КОНВЕКЦИЯ KW - ТЕПЛОПРОВОДНОСТЬ KW - ТЕМПЕРАТУРНОЕ ПОЛЕ KW - МЕТОД КОНЕЧНЫХ ЭЛЕМЕНТОВ PY - 2020 SN - 0491-6441 SP - 58 EP - 69 AN - OPUS4-50290 LA - rus AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -