Research on the Thermal-Mechanical Coupled Response of Boron Carbide Based on Two-Phase Relaxation Theory
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摘要: 碳化硼陶瓷作为航空航天、核能装备等领域的关键战略材料,在瞬态热冲击工况下的热力耦合响应直接 决定其服役安全性,而经典热力耦合模型因未考虑微尺度局部热扩散效应,对其热冲击响应的预测存在显著偏差。针 对该问题,基于双相弛豫理论改进Green-Lindsay模型,构建了包含热流矢量、应力、应变率与温度梯度四重弛豫效应 的双相弛豫热力耦合模型。采用拉普拉斯变换法求解频域解析解,并建立有限差分格式通过非线性迭代实现耦合场的 数值求解。系统分析了碳化硼陶瓷热力耦合下温度场、位移场、应力场与速度场的动态演化规律,量化了各弛豫参数 对热力耦合响应及应力波传播的影响机制,揭示了热波与应力波传播的尺寸效应:微纳尺度下热波与弹性波共同主导 物理场演化,宏观尺度下热波快速衰减,应力波成为主导因素。采用高能电子束热冲击实验结合聚偏氟乙烯(PVDF)压 电传感器测试技术,验证了双相弛豫热力耦合模型的准确性与适用性。研究结果表明,热流矢量、应力、应变率、温度 梯度弛豫系数均与应力波幅值呈负相关,其中应力与温度梯度弛豫系数影响应力波脉宽,热流矢量弛豫参数主导应力 波波速,温度梯度弛豫参数的引入可有效消除应力波强间断面,使模型更贴合微尺度热力耦合。双相弛豫热力耦合模 型为碳化硼陶瓷在瞬态热冲击下的热力响应预测提供了理论工具,也为抗热冲击陶瓷材料的结构设计与服役安全评估 提供了重要参考。
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Abstract: Boron carbide ceramic is an important strategic material for aerospace and nuclear facilities. Its thermomechanical coupling behavior under transient thermal shocks determines structural service safety. Classical thermomechanical models neglect microscale local thermal diffusion, leading to obvious errors in predicting thermal shock responses. To solve this problem, this study improved the Green-Lindsay model based on dual-phase relaxation theory and established a thermomechanical coupling model incorporating four relaxation items: heat flux vector, stress, strain rate and temperature gradient. Laplace transform was used to obtain frequency-domain analytical solutions. A finite difference scheme with nonlinear iteration was constructed to numerically solve the coupling fields, and the consistency between analytical and numerical results was verified. The dynamic evolution of temperature, displacement, stress and velocity fields was systematically analyzed. The quantitative influences of various relaxation coefficients on coupling responses and stress wave propagation were clarified, and the size effect of thermal waves and stress waves was revealed. Thermal waves together with elastic waves dominated field evolution at the micro-nano scale, while thermal waves decayed rapidly at the macroscale and stress waves became the dominant factor. High-energy electron beam thermal shock experiments with Polyvinylidene Fluoride (PVDF) piezoelectric sensors verified the reliability and applicability of the proposed model. The results show that all four relaxation coefficients are negatively correlated with stress wave amplitude. The relaxation coefficients of stress and temperature gradient govern the pulse width, the heat flux relaxation coefficient determines wave speed, and the temperature gradient relaxation term eliminates the strong discontinuity of stress waves, making the model more consistent with microscale thermomechanical characteristics. The established model provides a theoretical method for predicting the thermomechanical responses of boron carbide ceramic under transient thermal shocks, and offers guidance for structural design and service safety assessment of thermal-shock-resistant ceramics. -
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