We developed kinetic models of hydrogen absorption in Ti and Zr. The models comprise series connections of the hydrogen-transport processes of surface dissociative adsorption and recombinative desorption; subsurface transport; and bulk diffusion. Numerical calculations using the models quantitatively reproduce the results of experimental series of time-transient absorption curves at various temperatures, demonstrating the validity of our models. Experimental desorption curves at various temperatures are also reproduced by the same model equations and kinetic parameters, particularly for Zr, demonstrating the dual functionality of our single model for hydrogen-transport directions. We use an effectiveness factor defined as the ratio between the real absorption rate and the virtual rate neglecting bulk diffusion. The transitions of the rate-determining steps of hydrogen transport in Ti and Zr under various conditions – such as temperature, pressure, and metal object size and shape – are systematically analyzed. As a case study to test the applicability of our model, hydrogen accumulation in the fuel claddings of light-water nuclear reactors was simulated to determine the cladding thickness required to prevent hydrogen embrittlement during the practical operation period. Our versatile kinetic models could be a useful tool that can aid the structural design and optimization of nuclear materials and facilities.

我们开发了Ti和Zr中氢吸收的动力学模型。该模型包括表面离解性吸附和重组解吸的氢传输过程的串联关系。地下运输；和大量扩散。使用模型进行的数值计算定量地再现了在不同温度下的一系列时间瞬态吸收曲线的实验结果，证明了我们模型的有效性。还可以通过相同的模型方程式和动力学参数（尤其是对于Zr）来再现在不同温度下的实验解吸曲线，这证明了我们单一模型在氢传输方向上的双重功能。我们使用有效性因子定义为实际吸收率与虚拟率之间的比率，忽略体积扩散。系统分析了在各种条件（例如温度，压力以及金属物体的尺寸和形状）下，氢在Ti和Zr中的氢迁移速率决定步骤的转变。作为检验我们模型适用性的案例研究，对轻水核反应堆燃料包壳中的氢积累进行了模拟，以确定在实际运行期间防止氢脆所需的包壳厚度。我们通用的动力学模型可能是有用的工具，可以帮助核材料和核设施的结构设计和优化。模拟轻水核反应堆燃料包壳中的氢积累，以确定在实际运行期间防止氢脆所需的包壳厚度。我们通用的动力学模型可能是有用的工具，可以帮助核材料和核设施的结构设计和优化。模拟轻水核反应堆燃料包壳中的氢积累，以确定在实际运行期间防止氢脆所需的包壳厚度。我们通用的动力学模型可能是有用的工具，可以帮助核材料和核设施的结构设计和优化。