Mesomechanics of energy and mass interaction for dissipative systems

In short, a nonclassical approach will be adopted to derive scale shifting laws consisting of the transitional functions RjJ+1 which stand for the mass ratios of the absorption energies WjJ+1 and dissipation energies DjJ+1The notations J and J+1 stand for two successive scales: pico-nano, nano-micro and micro-macro. Hence, the mass ratios Rpina, Rnami and Rmima can be referred to as the transitional inhomogeneity coefficients. They make up the multiscale shifting laws WjJ+1 = RjJ+1DjJ+1 Validation of the method involves connecting the accelerated test data at the different scales, say from pico to nano to micro to macro. A key step in this development is the use of an energy density dissipation function, the definition of which is scale invariant. Referred to the contraction and expansion of a control volume, energy is said to be absorbed and dissipated, respectively. The respective mass densities M↓ and M↓ may then be regarded to pulsate by contraction and expansion. Real fatigue data for the precracked 2024-T3 aluminum panels are used to derive energy loss by dissipation. Equivalency of mass and energy also enables numerical evaluation of mass loss.