@inbook{3f3b091ca2fa4cca9d69644547687ffc,

title = "Higher-order mesoscopic theories of plasticity based on discrete dislocation interactions",

abstract = "In this chapter, a rigorous analysis is given as a reference in which dislocations are treated as discrete entities. Then the transition towards a crystalline continuum is made in a number of steps by subsequent averaging along and perpendicular to the slip direction. This procedure eliminates the short-range dislocation interactions. Based on the considered idealized configuration, a back-stress term is derived which allows the conventional theory to predict finite-size pile-ups and turns out to be virtually identical to the result obtained by means of statistical arguments.",

author = "R.H.J. Peerlings and Y. Kasyanyuk and A. Roy and M.G.D. Geers",

year = "2010",

doi = "10.1007/978-1-4419-5695-8_25",

language = "English",

isbn = "978-1-4419-5694-1",

series = "Advances in mechanics and mathematics",

publisher = "Springer",

pages = "245--250",

booktitle = "Mechanics of generalized continu a: One hundred years after the Cosserats",

address = "Germany",

}