Some Non-Classical Approaches. New Criterion of Brittle Fracture

Abstract

Many modeling methods of dynamic fracture effects are associated with nonelastic rheology and macrocrack development. In many cases this association is an inevitable physical necessity. However, for practical aims it is very important to provide a direct mechanical approach, permitting the reduction of the dynamic fracture analysis to a simple ‘industrial’ procedure. That is why the rejection from the engineering mode of energy and power balance traditional schemes of fracture mechanics would be unjustified. Even in the framework of linear elasticity and brittle fracture these schemes are not complete. Their development, as will be shown below, can give sufficiently simple explanations of many peculiarities of high rate-fracture [23, 25, 26, 30, 31, 45, 47, 99].

Let us examine some nonclassical modeling methods of brittle-material fracture, especially efficient in situations where the classical approaches and the Griffith—Irwin criterion do not ensure success.