基于三周期极小曲面的水泥基压电复合材料性能有限元分析

Finite element analysis on properties of cement-based piezoelectric composites based on triply periodic minimal surface

摘要

传统0-3型、1-3型水泥基压电复合材料存在压电相分布随机性大、压电纤维易断裂等缺陷，在应力传递效率与压电输出性能上存在明显结构瓶颈。为此，本文构建一种基于三周期极小曲面（TPMS）拓扑结构的新型水泥基压电复合材料。选取Diamond与Karcher-Tuite两种典型TPMS构型，通过Python结合水平集方法进行参数化建模，并利用Abaqus建立压电-结构耦合有限元模型，系统研究不同压电相体积分数（10.0%～29.2%）对复合材料应力分布与压电输出（d₃₃，g₃₃，V）性能的影响。结果表明：TPMS结构的三维连续网络可有效优化应力传递路径、规避局部应力集中，进而获得优异的力-电转换效率；当压电相体积分数为29.2%时，Diamond型与Karcher-Tuite型复合材料的压电系数d₃₃分别达到148.5 pC/N和103.7 pC/N，显著优于传统0-3型与1-3型构型。本文通过系统性数值模拟，揭示了TPMS拓扑特征与宏观压电性能的内在关联，为高灵敏度、高耐久性自供能传感材料的构型优选与实验设计提供了理论依据。

Abstract

Traditional cement-based piezoelectric composites (0-3 and 1-3 types) suffered from limited stress transfer efficiency and low piezoelectric output due to random piezoelectric phase distribution and fiber breakage. To address this issue, this paper developed a new cement-based piezoelectric composite based on the topological structure of triply periodic minimal surfaces (TPMS). Two typical TPMS configurations, Diamond and Karcher-Tuite, were parametrically modeled by using Python and the level-set method, and a piezoelectric-structure coupling finite element model was established by using Abaqus to evaluate the effects of piezoelectric phase volume fraction (10.0%～29.2%) on stress distribution and output performance (d₃₃, g₃₃, V). Results show that the continuous three-dimensional network of TPMS structures can effectively optimize the stress transfer path and avoid local stress concentration, thereby achieving excellent mechano-electrical conversion efficiency. When the volume fraction of the piezoelectric phase is 29.2%, the piezoelectric coefficient d₃₃ of Diamond and Karcher-Tuite composites reaches 148.5 pC/N and 103.7 pC/N, respectively, which is significantly superior to those of traditional 0-3 and 1-3 configurations. Through systematic numerical simulations, this paper reveals the intrinsic correlation between the topological characteristics of TPMS and the macroscopic piezoelectric properties, providing a theoretical basis for the configuration optimization and experimental design of self-powered sensing materials with high sensitivity and high durability.

关键词

水泥基压电复合材料 / 三周期极小曲面（TPMS） / 力-电转换效率 / 数值模拟 / 有限元分析

Key words

cement-based piezoelectric composite / triply periodic minimal surface (TPMS) / mechano-electrical conversion efficiency / numerical simulation / finite element analysis

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基金资助

辽宁省教育厅基本科研项目(LJ212510151003)