Numerical Model for Simulation of the Laser Thermal Forming Process
A numerical model to simulate the laser thermoforming process (LTF) is proposed. It is developed on the basis of the thermodynamically consistent theory of coupled thermo-viscoplasticity and is suitable for modeling the LTF for thin-walled metal structural elements. In the frame of this model, the p...
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MDPI AG
2025-03-01
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| author | Yaroslav Zhuk Mykola Melnichenko Arash Soleiman Fallah Vitalii Husak |
| author_facet | Yaroslav Zhuk Mykola Melnichenko Arash Soleiman Fallah Vitalii Husak |
| author_sort | Yaroslav Zhuk |
| collection | DOAJ |
| description | A numerical model to simulate the laser thermoforming process (LTF) is proposed. It is developed on the basis of the thermodynamically consistent theory of coupled thermo-viscoplasticity and is suitable for modeling the LTF for thin-walled metal structural elements. In the frame of this model, the problem statement consists of the Cauchy relation, equations of motion, and the energy balance equation, which is reduced to the heat conduction equation, along with mechanical and thermal boundary conditions, as well as initial conditions. To describe the behavior of the material, a generalized model of physically nonlinear temperature-dependent thermo-viscoplasticity is used. Spatial discretization of the axisymmetric problem of laser pulse loading of the disk is performed by the FEM. The unsteady LTF process of the deformed disk configuration is simulated. The final profile of the disk is obtained as a result of a thermally induced residual stress–strain state caused by the rapid heating and subsequent gradual cooling of the material under the laser-irradiated area. |
| format | Article |
| id | doaj-art-b6df2f2da6d647e88716ec7ba9ca6a3d |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-b6df2f2da6d647e88716ec7ba9ca6a3d2025-08-20T02:24:39ZengMDPI AGAxioms2075-16802025-03-0114425510.3390/axioms14040255Numerical Model for Simulation of the Laser Thermal Forming ProcessYaroslav Zhuk0Mykola Melnichenko1Arash Soleiman Fallah2Vitalii Husak3Department of Theoretical and Applied Mechanics, Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv, 01033 Kyiv, UkraineDepartment of Theoretical and Applied Mechanics, Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv, 01033 Kyiv, UkraineDepartment of Mechanical, Electrical and Chemical Engineering, Oslo Metropolitan University, 0176 Oslo, NorwayTimoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 03142 Kyiv, UkraineA numerical model to simulate the laser thermoforming process (LTF) is proposed. It is developed on the basis of the thermodynamically consistent theory of coupled thermo-viscoplasticity and is suitable for modeling the LTF for thin-walled metal structural elements. In the frame of this model, the problem statement consists of the Cauchy relation, equations of motion, and the energy balance equation, which is reduced to the heat conduction equation, along with mechanical and thermal boundary conditions, as well as initial conditions. To describe the behavior of the material, a generalized model of physically nonlinear temperature-dependent thermo-viscoplasticity is used. Spatial discretization of the axisymmetric problem of laser pulse loading of the disk is performed by the FEM. The unsteady LTF process of the deformed disk configuration is simulated. The final profile of the disk is obtained as a result of a thermally induced residual stress–strain state caused by the rapid heating and subsequent gradual cooling of the material under the laser-irradiated area.https://www.mdpi.com/2075-1680/14/4/255laser thermal forminglaser pulsecoupled thermomechanical modelthermo-viscoplastic materialresidual stress–strain state |
| spellingShingle | Yaroslav Zhuk Mykola Melnichenko Arash Soleiman Fallah Vitalii Husak Numerical Model for Simulation of the Laser Thermal Forming Process Axioms laser thermal forming laser pulse coupled thermomechanical model thermo-viscoplastic material residual stress–strain state |
| title | Numerical Model for Simulation of the Laser Thermal Forming Process |
| title_full | Numerical Model for Simulation of the Laser Thermal Forming Process |
| title_fullStr | Numerical Model for Simulation of the Laser Thermal Forming Process |
| title_full_unstemmed | Numerical Model for Simulation of the Laser Thermal Forming Process |
| title_short | Numerical Model for Simulation of the Laser Thermal Forming Process |
| title_sort | numerical model for simulation of the laser thermal forming process |
| topic | laser thermal forming laser pulse coupled thermomechanical model thermo-viscoplastic material residual stress–strain state |
| url | https://www.mdpi.com/2075-1680/14/4/255 |
| work_keys_str_mv | AT yaroslavzhuk numericalmodelforsimulationofthelaserthermalformingprocess AT mykolamelnichenko numericalmodelforsimulationofthelaserthermalformingprocess AT arashsoleimanfallah numericalmodelforsimulationofthelaserthermalformingprocess AT vitaliihusak numericalmodelforsimulationofthelaserthermalformingprocess |