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MODELS IN PHYSICS AND TECHNOLOGY
Numerical solution of a two-dimensional quasi-static problem of thermoplasticity:
residual thermal stress calculation for a multipass
welding of heterogeneous steels
R. A. Krektulevaa, O. I. Cherepanovb, R. O. Cherepanovb a National Research Tomsk Polytechnic University, 30, Lenin Avenue, Tomsk, 634050, Russia
b Tomsk State University of Control Systems and Radioelectronics, 40, Lenin Avenue, Tomsk, 634050, Russia
Abstract:
A two-dimensional mathematical model was developed for estimating the stresses in welded joints
formed during multipass welding of multilayer steels. The basis of the model is the system of equations that includes
the Lagrange variational equation of incremental plasticity theory and the variational equation of heat conduction,
which expresses the principle of M. Biot. Variational-difference method was used to solve the problems of heat
conductivity and calculation of the transient temperature field, and then at each time step — for the quasi-static problem
of thermoplasticity. The numerical scheme is based on triangular meshes, which gives a more accuracy in describing
the boundaries of structural elements as compared to rectangular grids.
Keywords:
thermoplastisity, thermal conductivity, multipass welding, coating.
Received: 09.04.2012
Citation:
R. A. Krektuleva, O. I. Cherepanov, R. O. Cherepanov, “Numerical solution of a two-dimensional quasi-static problem of thermoplasticity:
residual thermal stress calculation for a multipass
welding of heterogeneous steels”, Computer Research and Modeling, 4:2 (2012), 345–356
Linking options:
https://www.mathnet.ru/eng/crm493 https://www.mathnet.ru/eng/crm/v4/i2/p345
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Abstract page: | 58 | Full-text PDF : | 21 | References: | 16 |
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