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Research at Welding Equipment and Engineering Department

Research at Welding Equipment and Engineering Department. Speaker: Andrey Batranin, PhD. Student Tomsk Polytechnic University Non-destructive Testing Institute. http://svarka.tpu.ru. Contents. Modeling of Processing Our Methods to Solve the Problems Mathematical Definition of the Problems

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Research at Welding Equipment and Engineering Department

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  1. Research at Welding Equipment and Engineering Department Speaker: Andrey Batranin, PhD. Student Tomsk Polytechnic University Non-destructive Testing Institute http://svarka.tpu.ru

  2. Contents • Modeling of Processing • Our Methods to Solve the Problems • Mathematical Definition of the Problems • Applications of the Methods • Conclusions Speaker: Andrey Batranin email: batranin@tpu.ru

  3. Modeling of Processing • We focus on modeling of different kinds of processing: • Welding • Cutting • Surface treatment • Hardening • Dynamic (shock) fracture Speaker: Andrey Batranin email: batranin@tpu.ru

  4. Our Methods to Solve the Problems • Primarily we use • Finite Difference Method. • Sometimes we use Variation-Difference Method and • Smoothed Particle Hydrodynamics (SPH) Method • Also we use state equations for complex materials • such as mixtures and alloys. Speaker: Andrey Batranin email: batranin@tpu.ru

  5. Mathematical Definition of the Problem To solve problems of welding we use Spatial Non-linear Dynamic Heat Transfer Equation С(Т) – heat capacity; (Т) – density; Т – temperature; (Т) – heat conductivity; Q(x,y,z,t)– heat power in a point. Speaker: Andrey Batranin email: batranin@tpu.ru

  6. Mathematical Definition of the Problem Initial and Boundary Conditions Initial condition: Common boundary condition: Melting and crystallization by Stephan’s equation Speaker: Andrey Batranin email: batranin@tpu.ru

  7. Mathematical Definition of the Problem Surface heat sources TIG-welding I – current, A; U – voltage, V; k – heat energy concentration coefficient, 1/m2; r – distance between a point and the center of a heat spot, m. Electron beam treatment Е – accelerating voltage, V; k – beam concentration coefficient, 1/m2 r0 – beam acting radius, m. Speaker: Andrey Batranin email: batranin@tpu.ru

  8. Mathematical Definition of the Problem Thermophysical properties of materials considerably depend on temperature. Speaker: Andrey Batranin email: batranin@tpu.ru

  9. Mathematical Definition of the Problem • We use the Conservation Laws of Mass, Energy and Linear Momentum in partial differential equations. • Additionally are used state equations for wide range of temperature and component concentration. • Thus the models takes into account the following items: • Non-linearity of physical properties (thermal dependences) • Spatial geometry of a piece (3D form) • Inhomogeneity: porosity, inclusions • Phase transformations: melting, crystallization, etc. • Complexity of heating: moving sources, preheating, etc. Speaker: Andrey Batranin email: batranin@tpu.ru

  10. Applications: software The “Model” Program • Problems were solved: • Oxygen cutting • TIG-welding • Impulse TIG-welding Speaker: Andrey Batranin email: batranin@tpu.ru

  11. Applications: software The “Meza” Program Speaker: Andrey Batranin email: batranin@tpu.ru

  12. Applications: software The “Meza-cutting” Program • Problems were solved: • Oxygen cutting • Electron beam treatment of titanium alloys Speaker: Andrey Batranin email: batranin@tpu.ru

  13. Applications: software Computing of stress and deformed states in welds • Problem was solved: • Thermal-deformative process during and after welding in a weld joint t = 0.1 sec t = 0.2 sec Speaker: Andrey Batranin email: batranin@tpu.ru

  14. Applications: software Computing of stress and deformed states in welds • Problem was solved: • Plastic deformation in HAZ after welding Speaker: Andrey Batranin email: batranin@tpu.ru

  15. Applications: software The “Virtual Workspace” Program (MATLAB) • Trying to use: • A modern software • HPC possibilities • Collaboration Speaker: Andrey Batranin email: batranin@tpu.ru

  16. Applications: developments • Furthermore the following researches are carrying out at our department: • Stress computation of gradient materials • Composition optimizing of coats • Impulse control of arc welding • Resistance welding of thin-walled pieces Speaker: Andrey Batranin email: batranin@tpu.ru

  17. Conclusions We model different technological processes: • To determine behaviour of materials during and after a process • To choose the optimal treatment among possible ones • To obtain a material or surface or joint with properties we need • To create a base for automation of processing Speaker: Andrey Batranin email: batranin@tpu.ru

  18. Thank you! http://svarka.tpu.ru

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