Redemption of the formalism of segmented linearity: multiscaling of non-equilibrium and non-homogeneity applied to fatigue crack growth

At the risk of being presumptuous, the influence of non-equilibrium and non-homogeneity (NENH) is the key to explain the conundrums of today's physics and mechanics on the basis of the NENH Mechanics of Multiscaling (NNMM). Corrective measures have been used to correct errors caused by the neglect of NENH and multiscaling. The separate conservation of mass and energy is a case in point. The inclusion of NENH leads to the simultaneous conservation of mass and energy as a product. The revised conservation law depends on the degree of system inhomogeneity. The aforementioned vouches the credibility for applying NNMM to resolve the impasse of the misinterpreted fatigue crack growth (FCG) data using monoscale concepts. The new paradigm is fundamental to contrast the difference between deterministic and non-deterministic. The phenomena of turbulence and instability in general are determinable when the thresholds are related to the appropriate physical mechanism at the temporal-spatial scale. The correct experiments depend on identifying the role with which NNMM plays in the physical phenomenon. The same applies to FCG. To reiterate, the aim is not to develop new theories but rather to offer corrective measures by including NENH and multiscaling to show that the understanding of FCG is no less challenging than some of the conundrums of physics and mechanics of today.