具有负泊松比的3D打印微结构聚合物材料的设计与测试
Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson's ratio
AI总结：
本文结合水平集拓扑优化与渐近均匀化设计负泊松比微结构材料，并经3D打印、拉伸测试和数字图像相关验证了设计流程。
摘要：
本工作提出了几种拉胀材料的完整设计周期，该周期包括三个步骤：（i）微结构设计，（ii）材料制造，以及（iii）材料测试。我们采用基于水平集方法的拓扑优化和渐近均匀化，以获得具有指定有效弹性张量和泊松比的周期性微结构材料。具有正交各向异性材料对称性的容许微结构形状空间能够实现有效泊松比低于-1的形状。此外，试样使用商用Ember立体光刻打印机制造，并进行了力学测试。在拉伸测试期间通过数字图像相关获得的观测位移场和应变场与有限元模拟的预测相吻合，并证明了该设计周期的有效性。
英文摘要：
This work proposes the complete design cycle for several auxetic materials where the cycle consists of three steps (i) the design of the micro-architecture, (ii) the manufacturing of the material and (iii) the testing of the material. We use topology optimization via a level-set method and asymptotic homogenization to obtain periodic micro-architectured materials with a prescribed effective elasticity tensor and Poisson's ratio. The space of admissible micro-architectural shapes that carries orthotropic material symmetry allows to attain shapes with an effective Poisson's ratio below -1. Moreover, the specimens were manufactured using a commercial stereolithography Ember printer and are mechanically tested. The observed displacement and strain fields during tensile testing obtained by digital image correlation match the predictions from the finite element simulations and demonstrate the efficiency of the design cycle.
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