Full Length ArticleOn the effect of throughout layer thickness variation on properties of additively manufactured cellular titanium structures
Introduction
Porous cellular structures have become increasingly relevant in different fields of study due to their selectively tailored properties, such as controlled stiffness, thermal conductivity, fluid permeability, acoustic and magnetic properties, impact energy absorption, and electrical isolation, as well as lightweight design [1], [2], [3]. Controlling the cell size and distribution throughout the structure can demonstrate the variation in each of these properties within the sample and classify it as a functionally graded structure (FGS) [4]. The footprint of FGS configurations can be found in nature, with human bone as one of the well-known examples [5], [6]. The in-depth knowledge of the physiological micro- and macro- structure of bone, in combination with a variety of manufacturing methodologies and tools, has generated promising results in the design and fabrication of bone implants [7].
For bone substitutes or implants, specific manufacturing criteria need to be addressed to successfully implant and stabilize the device in a patient’s body [7], [8]. Such criteria include the bio-compatibility of the material, bulk and localized mechanical properties, as well as design, featuring the anatomy of the bone and its internal structure such as pore morphology. The last factor is essential for allowing body fluid permeation throughout the implants to enhance the bone growth and implant-bone fixation [6], [9]. In addition, porosity directly affects the mechanical properties of bone substitutes and control of this parameter can simulate the appropriate bio-mechanical response with the surrounding tissue [10], [11].
The development of additive manufacturing (AM) processes [12], (also known as 3D printing), combined with image processing techniques, has created a substantial opportunity for tailoring the design of implants according to each individual patient’s anatomy [13], [14], [15]. The binder-jet AM process, one of the AM classes, constructs a 3D object in layer by layer fashion via spreading a thin layer of powder and injecting a binder to provide structural integrity [16], [17], [18]. A heat treatment cycle is often required as a post processing step to achieve the final product. Several parameters, such as powder size, shape and distribution, binder material and saturation level, layer thickness and sintering protocol have been mentioned in the literature as influential factors on the properties of the samples [19], [20], [21], [22], [23].
The layer thickness, by affecting the applied compaction force on each layer, can tailor the porosity and mechanical properties of the samples. Several studies have been presented by researchers to evaluate the effect of this parameters via employing different methods of AM [24], [25], [26], [27], [28], [29], [30], [31], [32]. According to the proposed results, decreasing the layer thickness, by increasing the compaction force applied on each layer, has a direct effect on enhancing the density and mechanical strength of samples. In these studies, only one layer thickness has been applied throughout the entire part during the manufacturing process. It can be due to the lack of ability to selectively change the layer thickness in real-time and accordingly adapt the slicing of the 3D objects in the commercially available 3D printer software.
The aim of this study is to manufacture functionally graded porous Ti structures by incorporating a variable layer thickness throughout the sample at pre-defined locations via a binder jetting AM process. The 3D printer system in this work has been developed in at the University of Waterloo [Waterloo, Canada], which provide the possibility incorporating different processes parameters as compare to the commercially available binder jetting system. The detail of this system specification has been described elsewhere [33]. In this study, four categories of the samples were designed. The first two were AM- made with a single layer thickness throughout to act as a control reference (A and B); and in the second two categories, the layer thickness was varied from high to low to high (150 μm/80 μm/150 μm) (C) and from low to high to low (80 μm/150 μm/80 μm) (D) in each batch, respectively. Sample C and D were designed with a symmetrical distribution of layer thickness with similar weight (0.5) to investigate the effect of layer thickness arrangement on mechanical properties of the specimens. To select the minimum layer thickness (80 μm), one step calibration was performed to adjust the roller speed to achieve a reasonable print quality by avoiding part distortion and cracking between two consecutive layers and considering the range of the powder particle size. Then the maximum layer thickness was selected approximately two times greater than the minimum (150 μm) to provide the reasonable variation when samples were studied.
A set of analyses were performed to evaluate the relation between the layer thickness and properties of the samples, including shrinkage analysis, porosity measurement, mechanical strength, stiffness and SEM analysis. In addition, to study the internal distribution of pores based on the layer thickness, the data from μCT scan of one sample from each group was obtained and analyzed with an image processing method to provide more clarified understanding of the internal structure of the samples. The bulk porosity, pore size and distribution as well as sinter neck size and distribution were obtained using the μCT analysis.
Section snippets
Material preparation
In this study, Titanium (Ti) spherical powder [CP Ti, PhellyMaterials, Ber- genfield, NJ], ASTM (F67-06 Grade 2) was blended homogenously with polyvinyl alcohol (PVA) [Alfa Aesar, Ward Hill, MA] to prepare the powder for additive manufacturing. A powder blend was produced composed of 97% wt of Ti with a particle size ranging from 75 to 90 μm and 3% wt of PVA powder with a particle size < 63 μm. The powder combination was placed on a jar mill [US Stoneware, East Palestine, OH] for four hours to
Shrinkage analysis
By using the dimensional measurement data of the samples before and after sintering in Eqs. (1) and (2), the diameter and height shrinkage for each category was obtained (Table 2). ANOVA analysis suggested a significant difference in both height and diameter shrinkage among the categories (p-value < 0.05). However, the difference was more notable in comparing group A and B in terms of height shrinkage.
Porosity measurement
By applying the Archimedes principle, the porosity of the specimens was calculated from Eq. (3).
Discussion
Four groups of samples with different layer thickness configurations were designed (Fig. 1) and manufactured from spherical Ti powder by employing a custom binder jet additive manufacturing method. The effect of the roller linear and rotational speed parameters, and layer thicknesses on the quality of the powder spread-ability was studied (Table 1). The results demonstrated that the roller speed has a significant effect on the layer displacement/crack/scratch formation. This can be attributed
Conclusion
In this study, four categories of Ti samples with different layer thickness configurations were designed to study the effect of this deviation on the additively manufactured functionally graded titanium structures. Different types of analysis were performed on the samples, including porosity measurement by applying the Archimedes method and analyzing the data from μCT scan, and mechanical properties measurement, such as Young’s modulus and yield stress. Porosity analysis suggested that about 5%
Acknowledgment
This work is supported by funds received from The Natural Sciences and Engineering Research Council of Canada (NSERC).
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