Conference Paper

Reducing residual stresses and deformations in selective laser melting through multilevel multiscale optimization of cellular scanning strategy

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Abstract

Residual stresses and deformations continue to remain one of the primary challenges towards expanding the scope of selective laser melting as an industrial scale manufacturing process. While process monitoring and feedback-based process control of the process has shown significant potential, there is still dearth of techniques to tackle the issue. Numerical modelling of selective laser melting process has thus been an active area of research in the last few years. However, large computational resource requirements have slowed the usage of these models for optimizing the process. In this paper, a calibrated, fast, multiscale thermal model coupled with a 3D finite element mechanical model is used to simulate residual stress formation and deformations during selective laser melting. The resulting reduction in thermal model computation time allows evolutionary algorithm-based optimization of the process. A multilevel optimization strategy is adopted using a customized genetic algorithm developed for optimizing cellular scanning strategy for selective laser melting, with an objective of reducing residual stresses and deformations. The resulting thermo-mechanically optimized cellular scanning strategies are compared with standard scanning strategies and have been used to manufacture standard samples.

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... The relative scarcity of research in this field is an outcome of the large computation time/resource requirements for solving the multi-scale multiphysics problem in selective laser melting. However, a few works [11] [12] exist that approach the optimization of scanning strategy as a heuristic problem, thereby achieving practical solutions within acceptable timeframes. ...
... In the current study, a real value genetic algorithm is used to optimize the scanning path with respect to the objective functions. Unlike previous studies [1] [9] [12], where the optimization problem was decomposed into two sub-problems, in the current study optimization of the scanning sequence and the scanning strategy for each cell is performed at the same time. While the previous studies chose to split the optimization problem into sequential optimization of sub problems so as to reduce the computation requirements, the quality of the optimized solutions can no doubt be improved by treating both the sequence and cell strategy together. ...
... One of the promising ways to produce complex parts of titanium aluminides is additive manufacturing (AM) since it reduces machining to a minimum degree and allows obtained parts with a complex shape (5,6). However, high residual stresses typical for most common AM processes promote cracks formation in TiAlalloys (7,8). Usually, high-temperature preheating is required to obtain crack-free intermetallic parts (9). ...
... Raster lines, contours, Medial Axis Transformation, fractals, etc.: in each case, the strategy is fixed independently from the part to build and the path adapted through few parameters optimization. If some works consider splitting into cells the area to melt, then matching them with scanning strategies [1,30,40], the optimization only focuses on these cells and the matching without considering any further scanning path modifications. Recently, three works proposed a different approach in which the path is fully optimized without any a priori restrictions. ...
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... In this respect, these pure conduction models can be further exploited by coupling to other physics such as metallurgical or mechanical models. Even in some cases, one can use these models to perform an optimization to obtain the optimal processing condition to reduce final deformation, similar to the work by Mohanty and Hattel [72], based on a reduced-order pure conductive model. In the thermo-metallurgical models, the two independent solidification parameters, namely the solidification cooling rate and temperature gradient, are first calculated at the end and at the onset of solidification, respectively, see Fig. 8(a). ...
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Numerical simulations have recently shown their potential as a robust, cheap and reliable tool for predicting the quality of components produced by metal additive manufacturing (MAM) processes. Despite the advantages of the MAM processes over conventional manufacturing methods, there is still a lack of thorough understanding on how different defects can form and originate during MAM processing. In that respect, advanced numerical techniques recently developed have the ability to predict the occurrence of such defects. These techniques have paved the way to efficiently obtain the optimal processing window for targeted mechanical properties to satisfy the end-use design requirements. The aim of this review paper is hence to present and classify numerical simulations of MAM, not solely based on their length-scale as often seen, but also based on the involved physics, as well as the modelling strategies at both the meso-scale and part-scale. The paper is arranged in the following way: First, literature describing purely conduction-based heat transfer simulations at meso-scale are presented. This is followed by a review of fluid-based simulations of increasing complexity based on the treatment of free surface of the melt pool at meso-scale. Finally, contributions based on different part-scale modeling approaches with a focus on thermo-mechanical behavior are reviewed.
... Various research groups have, therefore, focussed on different methods for reducing residual stresses in order to improve dimensional accuracy (Kruth et al. 2012, Mohanty and Hattel 2016, Robinson et al. 2018). In addition, several other process-dependent factors contributing to dimensional deviation and accuracy exist, such as part orientation and location, support structures and post-processing steps. ...
... The aim of these models is to determine the evolution of the temperature field and temperature gradients resulting in the buildup of thermal residual stresses [8]. It has been shown that residual stresses can be reduced by changing only the scan strategy [9], and therefore a fast tool for predicting the thermal responses of various scan patterns is key for determining optimal scan patterns [10,11]. For this purpose, models often neglect convection, radiation, and phase change, instead focusing on the heat conduction mechanism and adopting a linear form a the heat equation in an effort to speed up calculations further [12][13][14], the limitations of which have been explored by Promoppatum et al. [15]. ...
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A unique and efficient semi-analytic method is presented for quickly predicting the three-dimensional thermal field produced by conduction from a heat source moving along an arbitrary path. A Green's function approach is used to decouple the solution at each time step into the analytical source contribution and a conduction contribution. The latter is solved numerically using efficient Gaussian convolution algorithms. This decoupling allows for boundary conditions on side boundaries to be satisfied numerically and lowers computational expenses by allowing calculations to be localized around the heat source. The thermal field resulting from arbitrary scan paths is constructed using analytical solutions for elementary linear segments. With focus on efficiency, a novel approach is used to store the calculated analytical line solutions for reuse on multiple other path segments. The results of various scan patterns are presented and successfully verified against finite element simulations. The computational times of predictions are shown to be faster than the corresponding finite element simulation by an order of magnitude with less than 1% average error. Given its ability to quickly predict the thermal history and changes in melt pool geometry due to arbitrary scan paths, this method provides a potentially powerful tool for exploration and optimization of laser powder bed fusion processes.
... The above governing equations and constitutive models are sufficient to develop a continuum model of the thermal conditions during SLM. 228,230,[234][235][236][237] The internal state variable approach 238 is well suited to the development of models for non-isothermal microstructural evolution. In general, a microstructure may be defined by different state variables such as grain size, volume fraction of grains, fraction of solid in solidification. ...
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... This implies that any modelling effort in pursue of optimum SLM process parameters should explicitly take into account the 2 scanning pattern and be able to capture the effect of a given scanning pattern on the temperature evolution. Mohanty and Hattel [25,26,27,28] developed a fast low fidelity model and studied the temperature evolution of a single layer with various scanning strategies. Upon comparing their predictions with a FE analysis having a mesh size sufficiently small to capture characteristic gradients of the temperature field, the low-fidelity model was able to reproduce average and maximum temperatures of the domain. ...
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Notice of RetractionAfter careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.In selective laser melting (SLM) processing, the residual stress will be occurred inside the melted layer inevitable, and the deformation will be made simultaneously. The laser scanning strategy determined the deformation magnitude and the shape residual stress profiles. In order to optimize the manufacture and reduce the deformation of manufactured metal layers, helix scan strategy and progressive scan strategy for selective laser melting technology have been developed. In the result, the helix scan strategy helps to decrease the deformation of melted layer more effectively.
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Selective laser melting (SLM) is a powder-based additive manufacturing capable to produce parts layer-by-layer from a 3D CAD model. Currently there is a growing interest in industry for applying this technology for generating objects with high geometrical complexity. To introduce SLM process into industry for manufacturing real components, high mechanical properties of final product must be achieved. Properties of manufactured parts depend strongly on each single laser-melted track and each single layer. In this study, effects of the processing parameters such as scanning speed and laser power on single tracks formation are explored. Experiments are carried out at laser power densities (0.3–1.3) × 106 W/cm2 by cw Yb-fiber laser. Optimal ratio between laser power and scanning speed (technological processing map) for 50 μm layer thickness is determined for stainless steels (SS) grade 316L (−25 μm) and 904L (−16 μm), tool steel H13 (−25 μm), copper alloy CuNi10 (−25 μm) and superalloy Inconel 625 (−16 μm) powders. A considerable negative correlation is found between the thermal conductivity of bulk material and the range of optimal scanning speed for the continuous single track sintering.
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In the SLM process, one has to balance between power and scan speed. When small scan speed is used, thermal gradients are important and local solidification can lead to cracks. On the other hand, when high speed is used, the power has to be huge and phenomena due to heat transfer, like delamination or balling, arise. In this paper, we study different possible scanning strategies and we point out those leading to an homogeneous heating of the part until its melting point. The results are compared to numerical simulations.
»Study and simulation of different scanning strategies in SLM,« i Innovative Developments In Design And Manufacturing
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B. E. A. T. G. R. Jhabvala J., »Study and simulation of different scanning strategies in SLM,« i Innovative Developments In Design And Manufacturing, Taylor & Francis Group, 2010, pp. 369-375.
»The helix scan strategy applied to the selective laser melting,« International Journal of Advanced Manufacturing Technology, årg. 63, nr
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Y. Shi, Q. Wei, B. Qian og H. Wang, »The helix scan strategy applied to the selective laser melting,« International Journal of Advanced Manufacturing Technology, årg. 63, nr. 5-8, pp. 631-640, 2012.
Reproducibility for properties of selective laser melting products
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O. Rehme og C. Emmelmann, »Reproducibility for properties of selective laser melting products,« Proceedings of 3rd International WLT Conference on Lasers in Manufacturing, pp. 227-232, 2005.