2009/02/08 by S. G. Abaimov, Abaimov, S. G.
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0902.1318
arxiv created 2009/12/28 · arxiv updated 2010/01/07
Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the strength elements onto the spins of a lattice. This allows applying the formalism extensively developed for spin systems to damage phenomena. To improve the model the interactions of spins at the crack tips are introduced. Further, statistical mechanics of the model is developed for different external boundary constraints.