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International Summer School-Conference “Advanced Problems in Mechanics”

APM 2021: Advanced Problem in Mechanics III pp 208–230Cite as

Residual Stresses in a Thermo-viscoelastic Additively Manufactured Cylinder Subjected to Induction Heating

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Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The present paper is devoted for modeling the temperature and residual stress fields evolution in a thermoviscoelastic cylinder that grows layer by layer, and to what extent does the degree of viscosity affect the residual stress reduction. The essence of this mathematical model is to analyze a series of initial-boundary value problems that describe the steps of the growth process, to give qualitative clarification for residual stress accumulation and distortion of final geometric shape. At each step, the domain in which the physical quantities are studied, increases due to adding a layer. The inductive heating by skin effect phenomena is applied during the additive process to minimize residual stresses intensity which appears in additive manufacturing, particularly in SLM or SLS technological processes. The temperature field on the growing surface is analyzed numerically for Titanium and Copper materials.

Keywords

  • Additive manufacturing
  • Residual stresses
  • Growing solids
  • Coupling effects
  • Thermal dissipation
  • Internal dissipation

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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). The researcher/Montaser Fekry is funded by a PhD scholarship from the Ministry of Higher Education of the Arab Republic of Egypt and the Russian Government Scholarship with application No: EGY-6154/17.

Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg 1, Moscow, 119526, Russia

    Sergei A. Lychev

  2. Department of Mechanics and Control Processes, Moscow Institute of Physics and Technology (National Research University), Moscow, Russia

    Montaser Fekry

  3. Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

    Montaser Fekry

Authors
  1. Sergei A. Lychev
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  2. Montaser Fekry
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Correspondence to Montaser Fekry .

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Editors and Affiliations

  1. IPME RAS, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    D. A. Indeitsev

  2. IPME RAS, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    A. M. Krivtsov

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Lychev, S.A., Fekry, M. (2023). Residual Stresses in a Thermo-viscoelastic Additively Manufactured Cylinder Subjected to Induction Heating. In: Indeitsev, D.A., Krivtsov, A.M. (eds) Advanced Problem in Mechanics III. APM 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-37246-9_17

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  • DOI: https://doi.org/10.1007/978-3-031-37246-9_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-37245-2

  • Online ISBN: 978-3-031-37246-9

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