Research PaperFailure criterion for PA 12 multi-jet fusion additive manufactured parts
Introduction
Additive manufacturing industry has experienced extensive growth in recent years, which has led to an increased demand for components to be implemented in load bearing structures [1]. This has prompted the need to predict the strength of critical parts, which, for additive manufacturing depends on the orientation of the build due to the anisotropy, as well as the chosen additive manufacturing technology [2]. For example, fused filament fabrication (FFF) is significantly stronger in the printing direction than across the layers [3], [4], [5], [6]. However, a review of the literature related to mechanical properties and anisotropy, and the relation of properties to processing conditions, of FFF parts shows that such work has primarily been in experimental characterization of either strength [7], [8], [9], [10], [11], stiffness [12] or both [13], [14], [15], [16], [17]. Recently, Cuan-Urquizo et al. [6] published a review paper of the experimental characterization as well as modeling work of the mechanical properties of FFF parts.
Uniaxial test results for selective laser sintered parts using polyamide 12 have also been reported by several researchers for neat resins [18], [19], [20], [21] as well as filled composite materials [22], [23]. Less work has been reported on the strength of parts made using the more recently developed multi-jet fusion technique [24], [25], [26]. Powder bed fusion technologies such as selective laser sintering (SLS) or now multi-jet fusion (MJF), while being highly regarded for their strength and mechanical properties in general, also experience varying degrees of anisotropy [27]. SLS parts, for example, exhibit a significant reduction in tensile strength when tested in the Z direction when compared to the X or Y directions. MJF on the other hand, while not achieving the tensile strength of SLS in the X and Y direction, does not lose tensile strength when loaded in the Z direction [28]. Sillani et al. [29] compared SLS and MJF additive manufacturing techniques. From their tensile and notched impact tests, they concluded that SLS parts were stiffer but more brittle than MJF parts.
Although significant research has been done in recent years in the area of mechanical behavior of additive manufactured parts, only recently, have there been attempts to develop a failure criterion [30]. Of the studies that did manage to apply a failure criterion, all but two, did so without differentiating between tension and compression. Of these studies, the majority did not include compressive strength in the analysis [31]. The goal of this research is to build upon the work performed by Obst et al. [32] and Mazzei Capote et al. [33], where the model by Osswald and Osswald [34] was applied to specially designed SLS and Fused Filament Fabrication (FFF) coupons to test tensile, compressive, and shear strengths, as well as strength tensor stress interaction components to allow failure predictions in complex stress fields. Here, the same methodology has been applied to the MJF technology so as to better understand both its potential with respect to mechanical properties, but also to compare this relatively new technology to its more well-known powder bed fusion counterpart, SLS. These test specimens were manufactured out of polyamide 12 (HP PA12 HR) on the Hewlett-Packard (HP) Multi-jet Fusion 4200 and tested under combinations of tension, torsion, and compression, which allow for the determination of the stress interactions.
Section snippets
Multi-jet fusion
Like SLS, the MJF process uses thermoplastic powders to produce parts which carry similar mechanical properties to those of its SLS counterpart. The MJF technology, however, uses an ink-jet array to disperse a fusing agent as well as a detailing agent over the powder bed along with infrared (IR) lamps, instead of a laser [35], [36]. The ink-like fusing agent increases the absorption ratio of the IR energy, which is emitted over the powder bed, to be absorbed selectively, shown below in Fig. 1.
Strength tensor based failure criterion
In the present analysis the strength tensor based failure criterion developed by Osswald and Osswald [34], based on the 1965 Gol’denblat-Kopnov model [41] was used. The criterion was first implemented by Obst et al. [32] for SLS parts and later by Mazzei et al. [33] for FFF parts. The criterion defines a scalar failure function, , as a combination of strength tensors and stresses (Fig. 2), aswhere failure occurs when, . The strength tensor components and are
Experimental methodology
The engineering strength parameters, , , , , , , and , were measured using special test specimens depicted below in Fig. 6. Fig. 7 presents the geometry and design of the test specimen used within this study.
The torsional test specimen, shown on the left in Fig. 6, allows for the measurement of combined torsional and axial stress, which are used to compute shear and axial stress interaction strength tensor components. The short compressive test specimen, presented on the right
Testing and results
The results from the performed mechanical testing are shown below in Table 6, and a program written with the software MATLAB was used to generate the failure surfaces shown below in Fig. 11, Fig. 12.
Using the results displayed in Table 6, as well as the Gol’denblat and Kopnov equation, found in Table 3, the strength tensor interaction term was found to be . A small strength tensor interaction value merely implies a small interaction, which is reflected by the small tilt
Conclusion
The strength tensor-based failure criterion with stress interactions was successfully implemented to predict the failure surface of MJF additive manufactured parts. The criterion can accurately predict the failure surface of the axial and transverse stresses, and at the same time sheds light on fundamental differences between two of the most widely used industrial powder bed fusion additive manufacturing technologies. Not only are there significant differences in mechanical
CRediT authorship contribution statement
Paul Victor Osswald and Philip Obst conceived and designed the experiments. Gerardo Mazzei Capote was responsible for performing the experimental studies as well as the mechanical testing. Paul Victor Osswald and Philip Obst analyzed the data and wrote the paper under supervision of Martin Friedrich, Dominik Rietzel and Gerd Witt. Martin Friedrich, Dominik Rietzel and Gerd Witt were involved in all stages of the project. All authors have read and agreed to the published version of the
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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