In order to simulate hydrogen charging and discharging cycles of mechanically loaded structures, an analytical solution for the differential equation of trapping kinetics is proposed, as a generalization of the Oriani's equilibrium relationship. This solution has been implemented in the Abaqus finite element software, and validated by comparison with the one-dimensional kinetic MRE Hydrogen Isotope Inventory Processes Code (HIIPC). Last, the results of an application on a 3D structure are presented. (C) 2018 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.