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G.C. Sih 《Theoretical and Applied Fracture Mechanics》2009,51(3):149-160
Validation of Ideomechanics (IDM) is manifested by removing the inconsistency of applying open system test data to closed system theories. Instead, the available open system test data can be used rightly to determine the physical parameters of the transitional functions defined by the mean values of length (free path), velocity, mass and energy. Multiscaling and size/time effects are considered. Ambiguities are mitigated when energy takes precedent in lieu of the concept of force.Determined directly from IDM is the energy density function from the velocity that can represent the magnitude of the energy sink and source. The formulation involves grouping pairs of variables of opposing poles that can be constructed as ideograms, much like yin-yang of I-Chin. The flow of Chi implicates the arrow of time and irreversibility. Mass activation/inactivation (AIA) is assumed to be related to the expansion/contraction (EXCO) of matter. Inadvertently, physical systems are identified with inhaling and exhaling of energy corresponding, respectively, to direct-absorption and self-dissipation (DASD). They are postulated to be the basic process for determining the integrity of the system.In contrast to Newtonian/Einsteinian mechanics (NEM) that uses field equations for determining the behavior of the whole everywhere for all time, IDM considers the mean behavior at any given size/time scale, however, large and small. Uncertainties are addressed by the scale transitional functions. The new paradigm can be applied to scaling shifting and to construct equivalence relations for open systems and to the use of existing test data free of ambiguities. Classical conservation laws for closed systems are reducible from the equivalence principles of open systems. The same holds for the classical kinetic molecular theory of matter that can be modified to include dissipation. 相似文献