https://digitalcommons.uri.edu/cgi/viewcontent.cgi?article=1013&context=egr_past_depts_facpubs

Dynamical systems approach to fatigue damage identification

Analytical model of fatigue crack growth retardation due to overloading

Fracture of deformable bodies is considered from the standpoint of the theory of stability and non-linear mechanics. Apart from stability in the usual sense, e.g. with respect to Lagrangian generalized coordinates, stability with respect to parameters characterizing the size and shape of cracks, named Griffith's generalized coordinates, is discussed in detail. Various types of instability and bifurcation associated with brittle fracture are considered and illustrated with examples.

Fracture from the standpoint of non-linear stability

The mechanics of fatigue crack growth in a medium with microdamage

Crack Growth and Fracture as Instability Phenomena

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.

V. V. Bolotin

Papers

Mechanics of Fatigue Fracture