@article{eprints2304,
       publisher = {Springer},
         journal = {Meccanica},
          author = {Alberto Carpinteri and Marco Paggi},
           title = {The effect of crack size and specimen size on the relation between the Paris and W{\"o}hler curves},
            year = {2014},
          volume = {49},
           month = {April},
           pages = {765--773},
          number = {4},
             url = {http://eprints.imtlucca.it/2304/},
        abstract = {Paris and W{\"o}hler?s fatigue curves are intimately connected by the physics of the process of fatigue crack growth. However, their connections are not obvious due to the appearance of anomalous specimen-size and crack-size effects. In this study, considering the equations for a notched specimen (or for a specimen where failure is the result of the propagation of a main crack) and the assumption of incomplete self-similarity on the specimen size, the relations between the size-scale effects observed in the Paris and W{\"o}hler?s diagrams are explained. In the second part of the work, the behaviour of physically short cracks is addressed and, considering a fractal model for fatigue crack growth, the crack-size effects on the Paris and W{\"o}hler?s curves are discussed.}
}