Modelling avalanches in martensites
Abstract
Solids subject to continuous changes of temperature or mechanical load often exhibit discontinuous avalanche-like responses. For instance, avalanche dynamics have been observed during plastic deformation, fracture, domain switching in ferroic materials or martensitic transformations. The statistical analysis of avalanches reveals a very complex scenario with a distinctive lack of characteristic scales. Much effort has been devoted in the last decades to understand the origin and ubiquity of scale-free behaviour in solids and many other systems. This chapter reviews some efforts to understand the characteristics of avalanches in martensites through mathematical modelling.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2016
- DOI:
- 10.48550/arXiv.1610.08446
- arXiv:
- arXiv:1610.08446
- Bibcode:
- 2016arXiv161008446P
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Materials Science
- E-Print:
- Chapter in the book "Avalanches in Functional Materials and Geophysics", edited by E. K. H. Salje, A. Saxena, and A. Planes. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-45612-6_6