2018
DOI: 10.1016/j.matdes.2017.11.050
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Gyroid porous titanium structures: A versatile solution to be used as scaffolds in bone defect reconstruction

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Cited by 175 publications
(77 citation statements)
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“…[ 111 ]: where the x, y, and z are in the Cartesian Coordinates [ 113 ]. The α variant is the offset value, which can be used to determinate the designed solid fraction [ 31 ]. The offset value can be both positive and negative.…”
Section: Triply Periodic Minimal Surface (Tpms) Structuresmentioning
confidence: 99%
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“…[ 111 ]: where the x, y, and z are in the Cartesian Coordinates [ 113 ]. The α variant is the offset value, which can be used to determinate the designed solid fraction [ 31 ]. The offset value can be both positive and negative.…”
Section: Triply Periodic Minimal Surface (Tpms) Structuresmentioning
confidence: 99%
“…Previous studies investigated the mechanical properties of TPMS architectures [ 20 , 31 , 106 , 123 , 125 ] in which powder bed fusion fabrication methods (SLS, SLM and EBM) were employed to build up metallic TPMS structures, especially for Ti and its alloys (see Table 3 ). These AM methods address the challenges of conventional manufacturing processes, allowing the fabrication of complex, open-cellular TPMS architectures.…”
Section: Triply Periodic Minimal Surface (Tpms) Structuresmentioning
confidence: 99%
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“…It allows the description of scaffold architectures using a single mathematical equation, with the capability to introduce different pore shapes and architectural features, including pore size gradients [10].This method was used to model scaffolds based on the class of surfaces known as triply periodic minimal surfaces (TPMS). These surfaces, frequently occurring in nature, are considered very attractive for these kind of applications [11,12]. They are, mathematically, defined as surfaces with zero mean curvature at every point and periodicity in three directions mutually perpendicular [13].…”
mentioning
confidence: 99%
“…This method was used to model scaffolds based on the class of surfaces known as triply periodic minimal surfaces (TPMS). These surfaces, frequently occurring in nature, are considered very attractive for these kind of applications [11,12]. They are, mathematically, defined as surfaces with zero mean curvature at every point and periodicity in three directions mutually perpendicular [13].…”
mentioning
confidence: 99%