2012
DOI: 10.1002/pamm.201210179
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Macroscopic modelling of the selective beam melting process

Abstract: The present contribution is concerned with the macroscopic modelling of the selective beam melting process by using finite elements. In this context the objective is to detail a continuum model to describe the process. Furthermore two different solution approaches are applied to the model and compared in terms of performance. An adaptive mesh refinement strategy is also demonstrated to increase the quality of the solution in the vicinity of the beam.

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Cited by 5 publications
(6 citation statements)
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“…The result of solving the spectral problem can be a set of eigenvalues and eigenvectors of a discrete analogue of the original problem, while the smallest positive value is taken as critical. Similar problems with the study of temperature effects were considered in works (Knyazeva et al, 2007;Riedlbauer et al, 2012;Keller et al, 2013;Lurie et al, 2015;Formalev and Kolesnik, 2018;Rabinsky and Tushavina, 2019a;Rabinskiy and Tushavina, 2019b;Formalev and Kolesnik, 2019).…”
Section: Resultsmentioning
confidence: 76%
“…The result of solving the spectral problem can be a set of eigenvalues and eigenvectors of a discrete analogue of the original problem, while the smallest positive value is taken as critical. Similar problems with the study of temperature effects were considered in works (Knyazeva et al, 2007;Riedlbauer et al, 2012;Keller et al, 2013;Lurie et al, 2015;Formalev and Kolesnik, 2018;Rabinsky and Tushavina, 2019a;Rabinskiy and Tushavina, 2019b;Formalev and Kolesnik, 2019).…”
Section: Resultsmentioning
confidence: 76%
“…The appearance of internal stresses in an object to be produced is connected with the essential spatiotemporal heterogeneous distribution of temperature and conversion fields. The appearance of residual stresses is caused due to the fact that inelastic deformations [33] are not consistent, first of all, temperature shrinkage deformations at cooling, structural shrinkage due to the course of phase transformations (melt crystallization) that is notable for a deformation history of various material points because of heterogeneous temperatures, temperature gradients and temperature velocities.…”
Section: Development Of the Models Intended To Form Fields Of Residuamentioning
confidence: 99%
“…The process of manufacturing of components with the use of the additive manufacturing method is followed by complex thermo-mechanical phenomena resulting in the formation of technological residual stresses and possible contraction of components [26][27][28][29][30][31][32][33]. The appearance of internal stresses in an object to be produced is connected with the essential spatiotemporal heterogeneous distribution of temperature and conversion fields.…”
Section: Introductionmentioning
confidence: 99%
“…When creating products by using methods of AM, large temperature gradients and technological residual stresses arise in the volume of the material, resulting in disruption of the product shape, changes in the mechanical and operational characteristics of the object, and its destruction during manufacturing (King et al 2015;Li et al 2010;Ibiye et al 2011;Parry et al 2015;Wu et al 2014;Baufeld et al 2010;Riedlbauer et al 2012). In order to work out the regimes and optimize the technological process, it is advisable to carry out a preliminary modeling of the process of layer-by-layer formation of the product, which boils down to a multivariate solution of thermoconversion problems.…”
Section: Introductionmentioning
confidence: 99%