We develop a semi-analytical solution based on integral transforms (GITT) that can be employed to predict macroscopic transport in channel-matrix shear flows computationally efficient manner. further demonstrate the newly developed enables real-time macroscale concentration estimation relevant applications.

Abstract Macroscale cleavage fracture toughness of high strength steels is strongly related to the hard microstructural inclusions. Therefore, an accurate determination local stress on these inclusions based matrix necessary for statistical modelling macroscale fracture. This paper presents analytical equations quantitatively estimate from far-field matrix. The account inclusion shape, orientat...