Subcritical growth of a plane crack in a three-dimensional body under the conditions of high-temperature creep

Prediction of transport vehicles’ durability with consideration of corrosive surface cracks propagation in structural elements

“…where Q = const is the value of thermal energy, A is the work of external forces, and W is the energy of body deformation after the propagation of the crack area by the value c S  , written according to [8][9][10][11].…”

“…To complete this mathematical model, in analogy with [10][11], respectively, the initial and final conditions are added to 7:…”

“…The realization of the mathematical problem (7-10) for specific cases is associated with significant mathematical difficulties. Therefore, the problem solution is simplified in analogy with [11]. Consequently, a half-space with a plane surface crack, into which the corrosive environment enters, is stretched cyclically at endlessly distant points, which are uniformly 51.…”

“…distributed by the amplitude σ and directed perpendicular to the plane of the crack placement. According to the results [11][12], the growth rate V of the crack under consideration in its straightforward propagation is related to the parameters of the stress-strain state in the prefracture area by the ratios:…”

“…Similar to the [11][12], the case, in which destruction occurs under the action of cyclic loads and a corrosive-aggressive environment in one plane of a three-dimensional body, is considered. Since the crack propagates along the normal to its periphery, the movement in the time period N Δ of the arbitrary point M of the crack periphery runs towards the normal (Figure 2).…”