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Mechanics of Fatigue Fracture

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TLDR
In this paper, a survey of the theory of fatigue cracks initiation and propagation up to the final failure is presented, based on the synthesis of macro-and micromechanics of fracture.
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.

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Citations
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Dynamical systems approach to fatigue damage identification

TL;DR: In this article, a dynamical system approach to material damage identification is presented, where a concept of phase space warping is used to develop new damage tracking feature vectors from measured time series through phase space reconstruction.
Journal ArticleDOI

Analytical model of fatigue crack growth retardation due to overloading

TL;DR: In this article, a model is suggested to describe the influence of overloading on the fatigue crack propagation process, which includes three factors that can affect significantly the crack growth rate: the increasing of the material resistance to crack growth due to the crack tip blunting; the residual stress field in the process zone affecting the threshold of microdamage accumulation; the change of microstructural properties close to the new-blunted crack tip that changes the initial conditions of the micro damage accumulation process.
Journal ArticleDOI

Fracture from the standpoint of non-linear stability

TL;DR: In this paper, Griffith's generalized coordinates have been used to characterize the size and shape of cracks in deformable bodies, and various types of instability and bifurcation associated with brittle fracture are considered and illustrated with examples.
Journal ArticleDOI

The mechanics of fatigue crack growth in a medium with microdamage

TL;DR: In this paper, a model of a thin plastic zone taking micro-damage accumulation in this zone into account is considered, and the process of crack growth is studied by numerical simulation, showing that the proposed theory predicts that the slope of the middle part of the diagram is close to two when the parameters of microdamage accumulation vary over a wide range.
References
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Journal ArticleDOI

Singular behaviour at the end of a tensile crack in a hardening material

TL;DR: In this paper, a total deformation theory of plasticity, in conjunction with two hardening stress-strain relations, is used to determine the dominant singularity at the tip of a crack in a tension field.
Journal ArticleDOI

Subcritical growth of fracture (inelastic fatigue)

TL;DR: In this paper, a local energy criterion of Irwin's type is applied to a quasi-static extension of a crack embedded in an elastic-plastic or viscoelastic plastic matrix.
Journal ArticleDOI

Dugdale-crack in a material with continuous damage formation

TL;DR: In this paper, a sheet containing a crack and loaded in Mode I has been studied with a one-dimensional method according to Dugdale, where the material is assumed to exhibit time-independent continuous damage when loaded.
Journal ArticleDOI

A unified approach to damage accumulation and fatigue crack growth

TL;DR: In this article, an approach is proposed to the theory of fatigue cracks propagation based on the following postulate: a growing crack at least once in a cycle becomes a nonequilibrium one under the condition that the resistance to crack growth is calculated with an account of damage accumulated at the crack tip during the loading history.
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