Cracks in heterogeneous materials with rotating constituents – Small and Intermediate scale Cosserat continua

摘要: Abstract Cosserat continuum modelling of crack propagation in particulate materials with microrotations and layered sliding requires the analysis characteristic lengths their relation length material microstructure. The that are order microstructural should be set to zero derive main asymptotic terms. When all microscopic obtained is termed Small scale continuum. Cracks Modes I, II, III have conventional stress singularity, as well moment singularity. Moment stresses can cause bending failure bonds connecting grains or layers material. Cases identified when induced by singularity exceeds tensile an magnitude. Then mechanism produced stress, which explains, a unified fashion often-observed in-plane cracks classical modes. Another interesting case some large. This gives what we term Intermediate An example given keep full contact during sliding. In this normal layering also propagates