Topic
Paris' law
About: Paris' law is a research topic. Over the lifetime, 13815 publications have been published within this topic receiving 224818 citations. The topic is also known as: Paris-Erdogan law.
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TL;DR: In this article, a rather universal stochastic fatigue crack growth model was employed to analyze the data and the solution of the stochastastic differential equation associated with the model gave us the crack exceedance probability as well as the probability of random time to reach a specified crack size.
117 citations
TL;DR: In this article, the shape change of surface fatigue cracks is investigated by using the multiple degree of freedom model described in Part I. The shape of propagating crack fronts is analyzed and the effect of free boundary correction on aspect ratio changes is investigated.
116 citations
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TL;DR: In this paper, the authors developed a theory for macromechanics, called analytical fracture mechanics, where the system cracked body -loading or loading device - is considered as a mechanical system and the tools of analytical (rational) mechanics are applied thoroughly to describe crack propagation until the final failure.
Abstract: Mechanics of Fatigue addresses the range of topics concerning damage, fatigue, and fracture of engineering materials and structures. The core of this resource builds upon the synthesis of micro- and macro-mechanics of fracture. In micromechanics, both the modeling of mechanical phenomena on the level of material structure and the continuous approach are based on the use of certain internal field parameters characterizing the dispersed micro-damage. This is referred to as continuum damage mechanics.The author develops his own theory for macromechanics, called analytical fracture mechanics. This term means the system cracked body - loading or loading device - is considered as a mechanical system and the tools of analytical (rational) mechanics are applied thoroughly to describe crack propagation until the final failure.Chapter discuss:preliminary information on fatigue and engineering methods for design of machines and structures against failures caused by fatiguefatigue crack nucleation, including microstructural and continuous modelstheory of fatigue crack propagationfatigue crack growth in linear elastic materials subject to dispersed damagefatigue cracks in elasto-plastic material, including crack growth retardation due to overloading as well as quasistationary approximationfatigue and related phenomena in hereditary solidsapplication of the theory fatigue crack growth considering environmental factorsunidirectional fiber composites with ductile matrix and brittle, initially continuous fiberslaminate compositesMechanics of Fatigue serves students dealing with mechanical aspects of fatigue, conducting research in fracture mechanics, structural safety, mechanics of composites, as well as modern branches of mechanics of solids and structures.
116 citations
TL;DR: In this article, a stochastic model of fatigue crack growth under random loading and other uncertainties is proposed, which takes into account experimental results and existing theoretical hypotheses concerning fatigue cracks growth.
115 citations
TL;DR: In this article, the effects of residual stress fields on fatigue crack propagation were evaluated using two numerical methods, i.e., finite element method and the weight function method, allowing a detailed analysis of the experimental data to be obtained.
115 citations