In the present work, a micropolar continuum model is adopted to homogenise a heterogeneous porous model of Guided Bone Regeneration (GBR) meshes. GBR meshes are used in dentistry as mechanical barriers to isolate and protect the area of bone loss from the surrounding tissue while allowing new bone growth. The mechanical constants of the continuum are derived based on the strain energy equivalence of a periodic porous plate with its equivalent ortho-tetragonal micropolar model under prescribed boundary conditions. The effects of various architectural features such as pore shapes, patterns and sizes on the material parameters are investigated. The results show that the micropolar theory provides a better prediction of the response of the 2D porous geometries considered for the GBR mesh, compared to the classical Cauchy theory. The collected equivalent material parameters are further used for GBR mesh design, considering both mechanical and biomedical requirements. As an example, different materials and arrangements are analysed to find micropolar constitutive parameters that are comparable to bone parameters reported in the literature. This allows the GBR mesh to possess the mechanical performance that matches the adjacent bones.

中文翻译：

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多孔引导骨再生网的等效微极模型：针对所需机械性能的优化设计

在目前的工作中，采用微极连续体模型来均匀化引导骨再生（GBR）网格的异质多孔模型。 GBR 网片在牙科中用作机械屏障，以隔离和保护骨质流失区域与周围组织，同时允许新骨生长。连续体的力学常数是根据周期性多孔板及其等效正交四方微极模型在规定边界条件下的应变能等效推导的。研究了各种结构特征（例如孔隙形状、图案和尺寸）对材料参数的影响。结果表明，与经典柯西理论相比，微极理论可以更好地预测 GBR 网格所考虑的二维多孔几何形状的响应。收集到的等效材料参数进一步用于 GBR 网格设计，同时考虑机械和生物医学要求。例如，分析不同的材料和布置，以找到与文献中报道的骨参数相当的微极性本构参数。这使得GBR网格具有与相邻骨骼相匹配的机械性能。