计及极化和相变现象影响的铁电陶瓷材料温度相关性断裂强度理论定量表征方法(实验力学反问题专辑)
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1.重庆科技大学;2.重庆大学

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国家自然科学基金项目(面上项目)


A Theoretical Quantitative Characterization Method for the Temperature-Dependent Fracture Strength of Ferroelectric Ceramics Considering Effects of Polarization and Phase Transition Phenomenon
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The National Natural Science Foundation of China (General Program)

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    摘要:

    铁电陶瓷材料在高温服役环境中的极化行为及相变现象对断裂强度的影响尚缺乏理论评价模型。现有研究多聚焦于温度或电场对材料断裂强度的影响,而基于深刻物理机理的考虑耦合效应的温度相关性理论定量表征模型仍待完善。本工作基于Li能量等效原理,通过整合热能、应变能与极化能对材料断裂临界能量阈值的贡献,并建立各能量项间的等效关系,创新性构建了可计及极化与相变现象影响的铁电陶瓷材料温度相关性断裂强度理论定量表征模型。该模型建立了断裂强度与温度、杨氏模量、介电常数、电场强度、熔点等基础材料参数的显式定量关系,且不含任何拟合参数。通过对GaN压电半导体陶瓷、PZT-4及PZT-5H铁电陶瓷材料高温断裂强度的验证表明,模型预测结果与实验数据吻合较好。本研究为定量分析温度及电场对材料断裂行为的影响提供了理论工具及潜在的无损测试手段。

    Abstract:

    The influence of polarization behavior and phase transition phenomena on the fracture strength of ferroelectric ceramic materials under high-temperature service conditions remains theoretically underexplored. Existing studies have primarily focused on the individual effects of temperature or electric field on fracture strength, while temperature-dependent theoretical models that quantitatively characterize coupled effects based on fundamental physical mechanisms are still lacking. In this work, a novel temperature-dependent theoretical model for the quantitative characterization of fracture strength in ferroelectric ceramics is developed, incorporating the effects of polarization and phase transitions. The model is constructed based on Li's energy equivalence principle by integrating the contributions of thermal energy, strain energy and polarization energy to the critical energy threshold for fracture, and by establishing equivalence relations among these energy terms. This model explicitly relates fracture strength to fundamental material parameters, including temperature, Young’s modulus, dielectric constant, electric field strength, and melting point, without relying on any fitting parameters. Validation using high-temperature fracture strength data for GaN piezoelectric semiconducting ceramics, as well as PZT-4 and PZT-5H ferroelectric ceramics, demonstrates good agreement between the model predictions and experimental results. This study provides theoretical tools and potential non-destructive testing methods for the quantitative analysis of the effects of temperature and electric field on material fracture behavior.

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  • 收稿日期:2025-08-04
  • 最后修改日期:2025-09-16
  • 录用日期:2025-10-11
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