TY - JOUR
T1 - A probabilistic model for martensitic avalanches
AU - Ball, John M.
AU - Cesana, Pierluigi
AU - Hambly, Ben
N1 - Funding Information:
The research of JMB and PC was supported by the ERC under the EU's Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement no 291053 and that of JMB also by a Royal Society Wolfson Research Merit Award. The authors are grateful to Eduard Vives for several discussions as well as for bringing part of his unpublished work [9] to our attention. This work was written when PC held an ERC funded postdoctoral position at the Mathematical Institute of the University of Oxford.
Publisher Copyright:
© Owned by the authors, published by EDP Sciences, 2015.
PY - 2015/12/7
Y1 - 2015/12/7
N2 - We present a probabilistic model for the description of martensitic avalanches. Our approach to the analysis of the model is based on an associated general branching random walk process. Comparisons are reported for numerical and analytical solutions and experimental observations.
AB - We present a probabilistic model for the description of martensitic avalanches. Our approach to the analysis of the model is based on an associated general branching random walk process. Comparisons are reported for numerical and analytical solutions and experimental observations.
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U2 - 10.1051/matecconf/20153302008
DO - 10.1051/matecconf/20153302008
M3 - Conference article
AN - SCOPUS:84976471087
SN - 2261-236X
VL - 33
JO - MATEC Web of Conferences
JF - MATEC Web of Conferences
M1 - 02008
T2 - 10th European Symposium on Martensitic Transformations, ESOMAT 2015
Y2 - 14 September 2015 through 18 September 2015
ER -