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The Theory of Critical Distances: A link to micromechanisms

Theoretical and Applied Fracture Mechanics, 2017
Abstract The Theory of Critical Distances (TCD) is a methodology for prediction of the effect of stress concentration features on material failure, especially cracking-related mechanisms such as fatigue and brittle fracture. It has a long history but has become much more relevant to industrial problems in recent years thanks to the widespread ...
openaire   +1 more source

Analysis of notch effect in PMMA using the Theory of Critical Distances

Engineering Fracture Mechanics, 2012
Abstract The Theory of Critical Distances is actually a group of methodologies, all of them using a characteristic material length parameter when performing fracture assessments on any kind of stress risers. In this paper, the application of the Theory of Critical Distances on Polymethyl methacrylate is analysed, the parameters involved in the ...
S. Cicero, V. Madrazo, I.A. Carrascal
openaire   +1 more source

An extension research on the theory of critical distances for multiaxial notch fatigue finite life prediction

International Journal of Fatigue, 2018
Based on the theory of critical distances (TCD), a new multiaxial notch fatigue life prediction method is proposed in this paper. Firstly, inspired by the means for determining the critical distance of fatigue limit shown in Kitagawa and Takahashi’s ...
Bowen Liu, Xiangqiao Yan
semanticscholar   +1 more source

The influence of the fatigue process zone size on fatigue life estimations performed on aluminum wires containing geometric discontinuities using the Theory of Critical Distances

Theoretical and applied fracture mechanics (Print), 2018
The aim of this work is to predict fatigue life of aluminum alloy wires 6201-T81 containing geometric discontinuities using the Theory of Critical Distances (TCD).
Vitor Adriano   +4 more
semanticscholar   +1 more source

Applications of critical point theory of distance functions to geometry

Geometriae Dedicata, 1991
The author uses the critical point theory of distance functions to obtain two results. First he considers a complete open manifold \(M^ n\) of nonnegative sectional curvature and rapidly increasing volume and gives a new proof for the following Theorem A [the reviewer and \textit{V. Toponogov}, Sib. Mat. Zh. 26, No.
openaire   +2 more sources

The Theory of Critical Distances: Applications in Fatigue

2008
This papers reviews the use of the Theory of Critical Distances (TCD) to predict high-cycle fatigue strength of real components when the complexity of their geometry causes stress concentration phenomena.
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The theory of critical distances: a review of its applications in fatigue

Engineering Fracture Mechanics, 2008
Abstract This paper attempts to review the most interesting findings in the use of the theory of critical distances (TCD) to predict fatigue strength of notched mechanical components. Initially, the most modern formalisations of the TCD are considered, showing their peculiarities and differences.
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A modified critical distance method for estimating fretting fatigue life of dovetail joints

Fatigue & Fracture of Engineering Materials & Structures
In this paper, a modified theory of critical distance (TCD) method (i.e., Gradient‐TCD method) is proposed, which combines fatigue parameter gradient and the TCD, to estimate fretting fatigue life of dovetail joints.
Xiaodong Zhu, Xuejun Chen
semanticscholar   +1 more source

Fracture Behavior of Nanoscale Notched Silicon Beams Investigated by the Theory of Critical Distances

Advanced Theory and Simulations, 2017
AbstractThis paper investigates the nanoscale fracture behavior of silicon using the Theory of Critical Distances (TCD) and demonstrates that TCD can correctly estimate the magnitude of the breakdown of continuum fracture mechanics. Moreover, it proposes the TCD as an alternative strategy for the determination of fracture toughness, KIC, at the ...
Gallo P, Yan Y, Sumigawa T, Kitamura T
openaire   +2 more sources

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