Numerical simulation of the thermo-stress-strain state of elements under 3D printing


  • I. K. Senchenkov S.P. Timoshenko Institute of Mechanics NAS Ukraine, 03057, Kyiv, 3 Nesterov Str.
  • M. V. Jurzhenko E.O. Paton Institute of Welding of NAS of Ukraine, 03680 Kyiv, K. Malevicha str., 11
  • O. P. Chervinko Kyiv National University of Building and Architecture, Kyiv, 03037, Povitroflotski ave, 31
  • O. V. Dolia Kyiv National University of Building and Architecture, Kyiv, 03037, Povitroflotski ave, 31



additive technology, FDM 3D printing, mathematical modeling, thermo-stress-strain state


The paper is devoted to the assessment of the thermo-stress-strain state of elements of structures obtained by 3D printing using FDM (Fusing Deposition Modeling) technology. Three stages of solving this problem are considered: (1) - mathematical formulation of the problem, that includes universal balance relations, constitutive equations of mechanical behavior of the material and is based on the model of growing bodies; (2) the technique of finite-element solution with increasing mesh due to the addition of new elements; (3) - study of a specific problem of growing plate-like element by polymer PLA (polylactide) with temperature-dependent physical properties. Options of deposed layers of different thickness are considered. The residual stress-strain state of the body has a two-scale structure, which reflects the change of state characteristics in the scale of body size, as well as the thickness of the layers. As the thickness of the layers increases, the average values of the residual stresses decrease, but the amplitude of the stress fluctuations along the thickness of the layer slightly increase.

Pages of the article in the issue: 70 - 75

Language of the article: Ukrainian


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How to Cite

Senchenkov, I. K., Jurzhenko, M. V., Chervinko, O. P., & Dolia, O. V. (2021). Numerical simulation of the thermo-stress-strain state of elements under 3D printing. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (4), 70–75.



Differential equations, mathematical physics and mechanics