A dimensional analysis approach to fatigue in quasi-brittle materials
Journal Title: Frattura ed Integrità Strutturale - Year 2009, Vol 3, Issue 10
Abstract
In this study, a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth is proposed in order to highlight and explain the deviations from the classical power-law equations used to characterize the fatigue behaviour of quasi-brittle materials. According to this theoretical approach, the microstructural-size (related to the volumetric content of fibres in fibre-reinforced concrete), the crack-size, and the size-scale effects on the Paris’ law and the Wöhler equation are presented within a unified mathematical framework. Relevant experimental results taken from the literature are used to confirm the theoretical trends and to determine the values of the incomplete self-similarity exponents. All these information are expected to be useful for the design of experiments, since the role of the different dimensionless numbers governing the phenomenon of fatigue is herein elucidated.
Authors and Affiliations
Marco Paggi
Keywords
Related Articles
- EP ID EP92226
- DOI 10.3221/IGF-ESIS.10.06
- Views 73
- Downloads 0
Multiple and non-planar crack propagation analyses in thin structures using FCPAS
In this study, multiple and non-planar crack propagation analyses are performed using Fracture and Crack Propagation Analysis System (FCPAS). In an effort to apply and validate FCPAS procedures for multiple a...
Fretting fatigue crack propagation rate under variable loading conditions
Fretting fatigue experiments aim to represent industrial problems and most of them endure variable loading. Being able to assess lifetime of assemblies, especially for low propagation rate conditions, is essential...
Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches
The paper deals with the three-dimensional nature and the multi-parametric representation of the stress field ahead of cracks and notches of different shape. Finite thickness plates are considered, under different...
A multiaxial incremental fatigue damage formulation using nested damage surfaces
Multiaxial fatigue damage calculations under non-proportional variable amplitude loadings still remains a quite challenging task in practical applications, in part because most fatigue models require cycle id...
A unified approach for static and dynamic fracture failure in solids and granular materials by a particle method
The material structure at the microscale reveals the particulate nature of solids. By exploiting the discrete aspect of materials, the so-called particle methods developed and applied to the simulation of solids a...