Methods for the Determination of the Stress-Strain State of a Metal Under the Action of Gaseous Hydrogen and Temperature

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.