We propose a procedure for the determination of the stress-strain state of exploited metals in gaseous hydrogen at temperature varying as a function of time. In this case, we use the principle of virtual work adapted for the quasistatic equilibrium equations with step-by-step formulation in time. The increments of displacements, hydrogen concentration, temperature, strains, and stresses for a certain small time interval are determined by using the finite-element method. To check the proposed methods, we analyze the stress-strain state of a solid finite cylinder in the atmosphere of hydrogen at temperature varying as a function of time. We consider the cases where the cylinder is unrestrained or restrained at one of its ends.

中文翻译：

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在气态氢和温度作用下测定金属应力-应变状态的方法

我们提出了一种程序，用于在随时间变化的温度下确定已开发金属在气态氢中的应力应变状态。在这种情况下，我们使用适用于准静态平衡方程的虚功原理，并及时逐步制定。位移、氢浓度、温度、应变和应力在某个小时间间隔内的增量是通过使用有限元方法确定的。为了检查所提出的方法，我们分析了在氢气氛中作为时间函数而变化的温度的固体有限圆柱体的应力应变状态。我们考虑圆柱体在其一端不受约束或受约束的情况。