钠冷快堆316H不锈钢高温非弹性本构方程研究及建立

Study and Development of High-temperature Inelastic Constitutive Equation for 316H Stainless Steel in Sodium-cooled Fast Reactor

  • 摘要: 钠冷快堆中以316H不锈钢作为母材的关键设备长期服役于严苛热机械循环载荷作用下,服役温度超过显著蠕变温度(425 ℃)。本文基于蠕变塑变分离的框架,通过在背应力中引入蠕变塑性交互因子,考虑蠕变塑性的相互影响,在各向同性硬化参数中引入应变记忆项描述塑性应变历史对塑性强化的影响,采用分段Norton-Bailey蠕变本构模型来准确描述蠕变第1和第2阶段,建立了可用于描述316H在热机械循环载荷作用下非弹性应力和应变行为的高温非弹性本构方程。采用550 ℃下单轴试验数据对本构方程进行参数标定和验证,建立了收敛性和稳定性良好的非线性求解算法。采用550 ℃下开孔结构件高温力学试验数据对本构方程的准确性及求解稳定性进行了验证,模拟分析数据与试验数据的相对误差在15%以内,表明本文的求解算法可以实现复杂结构的有限元材料非线性求解。本文建立的高温非弹性本构方程整体架构为分离型,易于工程师理解和掌握,经进一步试验验证后可用于工程实践。

     

    Abstract: This work aims to develop a high-temperature inelastic constitutive formulation for 316H stainless steel in sodium-cooled fast reactor that accurately describes stress-strain response under service temperatures above its significant creep threshold (425 ℃) and under thermomechanical loading. From an engineering-oriented perspective that favours simplicity and implementability, a separate-flow inelastic framework was adopted, in which creep and plasticity were described by distinct kinetic laws yet remain coupled through internal state variables. To compensate for the inherent limitation of separate-flow models in representing creep-plasticity interaction, a creep-plasticity interaction factor was introduced into the back stress evolution, so that creep deformation modified kinematic hardening. A strain memory term was further embedded in the isotropic hardening law to capture the amplitude-dependent peak-stress variation observed under cyclic loading, whereby plastic strain history influenced subsequent hardening capacity. For the creep law, only primary and secondary regimes were considered, consistent with design requirements for reactor-class high-temperature components that prohibited entry into tertiary creep during service life. A piecewise Norton-Bailey creep constitutive model was therefore employed. Detailed theoretical derivations were presented for the constitutive equations, together with a coupled iterative solution scheme for the creep and plastic consistency multipliers, which enhanced numerical efficiency and stability in the nonlinear regime. Model parameters were calibrated and validated against uniaxial tests at 550 ℃ . The nonlinearity solution algorithm demonstrates robust convergence and stable evolution of inelastic strains. Further validation against high-temperature mechanical tests on notched structural components at 550 ℃ shows that simulated displacements and surface strains agree with measurements within a relative error of 15%. The proposed framework retains a separable structure that is transparent to engineers, while delivering sufficient fidelity for creep-fatigue interaction assessment. With additional experimental verification, the model is suitable for engineering analysis of high-temperature 316H components.

     

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