Abstract
In the present paper a mathematical model for the temperature and residual stress fields evolution in growing thermoelastic cylinder is investigated. It is based on the idea of analyzing a sequence of boundary value problems describing the steps of the growth process. The main goal is to give qualitative clarification and modeling for residual stress accumulation and distortion in the final geometric shape, which appears in additive manufacturing, particularly in SLM or SLS technological processes. We proposed such way to control these unwanted phenomena. The main idea is to apply inhomogeneous inductive heating by skin effect phenomena during the additive process. In so doing one can compensate the incompatibility of thermoelastic deformations caused by sequential addition of heated up to melting temperature material by controlled inhomogeneous thermal expansion resulting from such way of heating. The process can be controlled by changing the frequency of an alternating electric current and the amplitude supplied to the growing body. This controling leads to minimize residual stresses and/or shape distortion of the body during and after additive process completion. For the axisymmetric cylindrical problem investigated below, it is possible to obtain optimal control parameters based on analytical solution of sequence of boundary value problems. This solution is the main result of present paper.
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Acknowledgements
The study was partially supported by the Russian Government program (contract \( \# AAAA-A20-120011690132-4\)) and partially supported by RFBR (grant \(No. \ 18-08-01346\) and grant \(No. 18-29-03228\)).
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Lychev, S.A., Fekry, M. (2022). Reducing of Residual Stresses in Metal Parts Produced By SLM Additive Technology with Selective Induction Heating. In: Indeitsev, D.A., Krivtsov, A.M. (eds) Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-92144-6_14
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DOI: https://doi.org/10.1007/978-3-030-92144-6_14
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