Some formulas for the crack opening stress level
Abstract Crack growth data for 2024-T3 sheet material were analysed with different formulas for ΔK eff as a function fo the stress ratio R . The data covered R values from −1.0 to 0.54. A good correlation was obtained for ΔK eff / ΔK = 0.55 + 0.33 R + 0.12 R 2 The relation between log d a/ d n and log ΔK eff was non-linear for high crack rates (> 1 μm/c).
For soft soils time-dependent consolidation processes are highly non-linear and require adistinct analysis of the overlying mechanisms. In the present study thus an analytical, rigoroussolution for one-dimensional consolidation of a clay deposit with permeable top andimpermeable bottom under haversine cyclic loading with restperiod is introduced. The solutionwas achieved using Fourier harmonic analysis for the periodic function representingthe rate of imposition of excess pore water pressure. Comparing the derived solution to asolution by Razouki & Schanz (2011) using an implicite finite difference technique andavailable solutions in literature, advantages are illuminated. Additionally, the presented,analytical solution is used to validate a numerical solution of the same conditional problemvia finite element method.