Topologically interlocked structures are architectured by fitting together blocks that are constrained geometrically through contact and friction by their neighboring blocks. As long as the frictional strength is nowhere exceeded, the blocks stick against each other, allowing for large rotations. Once the interfacial stresses exceed the frictional strength, relative sliding between the blocks alters the structure's mechanical response. Improving the structural performance, precisely the strength and the toughness, has been one of the main focal points in the literature. However, many fundamental questions regarding the role and effect of the interface mechanisms (stick and slip) and rotation of the blocks have not been addressed yet. Here, we carry out a parametric analysis to understand the effect of Young's modulus, friction coefficient and geometry of the blocks on the dominance of the stick or slip governed mechanism. We combine analytical and computational tools to analyze the failure mechanisms and the response capacities of beam-like topologically interlocked structures. This is achieved using a finite element method coupled with a penalty-based approach for enforcing contact constraints along interfaces. We show that the combination of the structure's height and the friction coefficient controls whether the failure mechanism is slip-governed or stick-governed. Furthermore, we demonstrate that the sticking mechanism across all interfaces along with the rotation of the blocks dictates a saturation level to the mechanical performance of a given structure irrespective of geometric and material properties. This provides a theoretical upper bound for the structural response of topologically interlocked structures and establishes a theoretical benchmark of achievable performance.
翻译:地形间结构的构造是通过相邻区块的接触和摩擦在几何上受到制约的建筑结构。 只要摩擦强度没有超过, 区块就会相互对立, 允许进行大规模旋转。 一旦阵形压力超过摩擦强度, 区块之间的相对滑动会改变结构的机械反应。 改善结构性能, 确切地说, 强度和坚韧性, 是文献中的主要焦点之一。 然而, 许多关于界面机制( 棍棒和滑块)的作用和效果以及区块轮用的基本问题还没有得到解决。 在这里, 我们进行偏差分析, 以了解Young的模型、 摩擦系数和区块的几何性能对彼此的效应。 一旦阵列压力超过摩擦强度, 区块之间的相对偏重, 我们结合分析和计算工具, 分析失败机制以及像表层结构的应对能力。 使用一种有限的要素, 加上一种基于惩罚的方法, 执行界面的接触限制。 我们显示, 结构的组合, 结构的高度和结构结构结构结构结构结构结构的精确度, 度, 结构间交错, 结构的阶结构, 调节, 显示, 结构的阶 的 的 结构之间的交错, 制, 制, 制, 制, 制,, 制定, 制, 制, 制, 制,, 的 的 的 的 制, 制, 的 制, 制, 制, 制, 制, 的 制, 制, 制, 制, 制,,,,,,,,, 制,,,,,, 制,,,,,,,,,,, 制, 制, 制, 制, 制, 制,,, 制, 制, 制,,, 制,,, 制, 制, 制, 制, 制, 制, 制,, 制,, 制, 制,, 制, 制, 制, 制, 制,,, 制,,,