Title: Mechanical analysis of thick material layers manufactured additively on cylindrical substrates

Authors: Dmitry A. Parshin

Addresses: Laboratory of Modelling in Solid Mechanics, Ishlinsky Institute for Problems in Mechanics RAS, Prospekt Vernadskogo 101-1, Moscow, 119526, Russia

Abstract: Additive technological processes of layer-by-layer manufacturing viscoelastic ageing material layers of arbitrary thickness on the inner or outer surface of an axisymmetric cylindrical substrate by means of deposition of material plies are investigated. The added plies can undergo preliminary tension/compression in the circumferential direction. The substrate compliance is not taken into account. In course of manufacturing the substrate is rotating around its axis with the variable angular velocity. A quasistatic mechanical model describing the deformation of the formed material layer under the action of centrifugal forces in assumption of small strains is proposed. The model is based on general approaches of mathematical theory of accreted solids. The closed analytical solution of the corresponding nonclassical boundary problem is obtained. By means of this solution the evolution of the technological stresses in the formed layer during and after the process of its additive manufacturing is reconstructed in quadratures.

Keywords: growing solid; surface growth; layer-by-layer formation; additional material; prestress; centrifugal forces; viscoelasticity; ageing; technological stress; residual stress.

DOI: 10.1504/IJMSI.2023.135898

International Journal of Materials and Structural Integrity, 2023 Vol.15 No.1, pp.42 - 54

Accepted: 08 Sep 2022
Published online: 09 Jan 2024 *

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