1. A method of analyzing a durability of a structure through a plurality of operations comprising: for each one of a plurality of materials of the structure, performing load-controlled testing on one or more samples of each one of the plurality of materials to relate each of a plurality of critical strain invariants of each one of the plurality of materials to cyclic rates of strain invariant accumulation and frequencies associated with the cyclic rates; characterizing each of the plurality of materials based on effective properties of each of the plurality of materials to obtain material characterizations, the effective properties including the cyclic rates of strain invariant accumulation of each one of the plurality of materials; using the effective properties of each of the plurality of materials and a geometrical definition of the structure to obtain a parametric model including a plurality of elements; applying load conditions to the parametric model; using the material characterizations to determine frequency responses of the plurality of elements to the load conditions; and for each one of the plurality of elements, using the determined frequency responses and the plurality of critical strain invariants to determine whether damage is indicated at each one of the plurality of elements.