A Numerical Study of Geometry’s Impact on the Thermal and Mechanical Properties of Periodic Surface Structures

Abstract

The paper focuses on thermal and mechanical analysis of Periodic Surface Structure (PSS). PSS is a continuous surface with a specific topology that is mathematically formulated by geometric factors. Cubic P-surface (“primitive”), D-surface (“diamond”), and G-surface (“gyroid”) structures were simulated under load and heat transport using a numerical approach. We conducted our study by solving the stress and heat equations using the Finite Element Method (FEM). We achieved results using our software module, which generates PSS and simulates stress and temperature distribution. The stress model defined by dependence between stress and strain, gained from an experiment, and correlation of strain and displacement, gained from geometric conditions, was used in numerical experiments. The influence of geometric factors on the thermal and mechanical behavior of PSS was qualitatively determined. We showed decreasing effective stress values with an increased number of cells in the cubic domain for concerned PSS. It is important, because the increase in the number of cells does not increase the structure’s volume.

Application of Computational Method in Designing a Unit Cell of Bone Tissue Engineering Scaffold: A Review

“…This has shown that the structure would start to fail layer by layer when it is subjected to loadings [ 86 , 87 ]. However, the bending surface TPMS would start to fail once the scaffold is subjected to ultimate pressure due to the uniform stress distribution in bending surface TPMS by showing a shear band [ 48 , 54 , 84 , 88 , 89 ]. From these studies, we can see that the stretching structure would fail due to the axial deformation while the bending structure would fail once the shearing linkages appear on the structure.…”

Mechanical Properties of Porous Structures for Dental Implants: Experimental Study and Computational Homogenization

“…Concerning the invention of porous microstructures intended for bio-applications, the simulations are typically directed towards a numerical reproduction of a physical experiment while accounting for all geometrical details of the tested specimen ([ 9 , 10 , 11 , 27 ] to cite a few). The resulting finite element model then typically calls for fine meshes with a large number of degrees of freedom which makes the analysis time consuming.…”

“…A rapid boom in the design and modeling of porous microstructures, focusing on bone implants [ 9 , 10 , 11 ], has been observed with a recently developed additive manufacturing (AM) technique allowing for the production of porous titanium microstructures via 3D printing [ 12 ]. Either selective electron beam melting (SEBM) [ 10 , 13 , 14 ] or selective laser melting (SLM) [ 15 , 16 ] is typically adopted to fabricate microstructures of variable complexity, including both trabecular [ 10 , 17 , 18 ] and gyroid [ 9 , 11 , 14 ] types of cellular structures.…”

“…A rapid boom in the design and modeling of porous microstructures, focusing on bone implants [ 9 , 10 , 11 ], has been observed with a recently developed additive manufacturing (AM) technique allowing for the production of porous titanium microstructures via 3D printing [ 12 ]. Either selective electron beam melting (SEBM) [ 10 , 13 , 14 ] or selective laser melting (SLM) [ 15 , 16 ] is typically adopted to fabricate microstructures of variable complexity, including both trabecular [ 10 , 17 , 18 ] and gyroid [ 9 , 11 , 14 ] types of cellular structures. The latter technique has been selected in this study owing to a fruitful collaboration with ProSpon, Ltd. which has successfully exploited SLM in a variety of biomedical areas, including production of implants and medical devices in orthopedics, traumatology, and surgery applications.…”

“…To this goal, a computational approach is a suitable alternative [ 25 , 26 ]. In the framework of trabecular or gyroid structures, the interested reader is referred to [ 9 , 10 , 11 , 17 , 27 ], to cite a few. In this regard, triply periodic minimal surface (TPMS) structures have often been examined owing to their extraordinary mechanical properties that are easily tailored, through simple geometrical adjustments, to those of human trabecular bone [ 28 ].…”