We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and fibre bundle models and discuss their limitations. Next, we review energetic and geometric approaches to fracture size effects for specimens with a flaw. Finally, we overview the numerical simulations of lattice models and compare with theoretical models.
Size effects in statistical fracture / M. J Alava, P.K.V. V Nukala, S. Zapperi. - In: JOURNAL OF PHYSICS D. APPLIED PHYSICS. - ISSN 0022-3727. - 42:21(2009), pp. 214012.1-214012.10.
Size effects in statistical fracture
S. Zapperi
2009
Abstract
We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and fibre bundle models and discuss their limitations. Next, we review energetic and geometric approaches to fracture size effects for specimens with a flaw. Finally, we overview the numerical simulations of lattice models and compare with theoretical models.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Alava_2009_J._Phys._D__Appl._Phys._42_214012.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
1.07 MB
Formato
Adobe PDF
|
1.07 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
