Abstract
A survey of the theory of fatigue cracks initiation and propagation up to the final failure suggested by author is presented. The theory is based on the synthesis of macro- and micromechanics of fracture. The analytical mechanics of fracture is used treating a system “cracked body — loading” as a mechanical one with unilateral non-holonomic constraints. Comparison is performed between the generalized forces of the analytical mechanics of fracture and the conventional concepts of fracture mechanics such as stress intensity faotors, energy release rates, crack opening displacements, and path-independent integrals.
The central point of the theory of fatigue is the assumption that generalized forces depend essentially on the level of microdamage accumulated near the crack-tips during all the prehistory of loading and cracks growth. The constitutive equations of the theory include conditions of equilibrium and stability of the system as well as equations governing the microdamage accumulation process. Applicatiors of the theory to high-cycle, low-cycle, and corrosion fatigue are given as well as to the cracks growth in visco-elastic media under long-acting quasistationary loading. References to recent studies of fracture and fatigue of composite materials based on the developed theory are presented.
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Bolotin, V.V. (1990). Mechanics of Fatigue Fracture. In: Wnuk, M.P. (eds) Nonlinear Fracture Mechanics. International Centre for Mechanical Sciences, vol 314. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2758-2_1
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DOI: https://doi.org/10.1007/978-3-7091-2758-2_1
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