Statistical Mechanics of Fracture and Embrittlement. 1. A Hard-Core Lattice Model
Special technical rept.
ILLINOIS INST OF TECH CHICAGO
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The report presents the qualitative features of a first-order, hard- core lattice model for fracture and embrittlement. The specific statistical mechanical technique used involves the evaluation of the classical configurational partition function using the cell-cluster approximation scheme. The philosophy behind such a geometric approach, precedent for it, and some consequences of it are outlined. The formalism of the statistical mechanics of closed-packed lattices of hard-core systems which is employed is sketched The report alludes to specific calculations that are currently in progress using this formalism and comments on other prospects for study which are inclusive within the domain of applicability of the model.
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