Higher-order mesoscopic theories of plasticity based on discrete dislocation interactions

R.H.J. Peerlings, Y. Kasyanyuk, A. Roy, M.G.D. Geers

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic


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.
Original languageEnglish
Title of host publicationMechanics of generalized continu a: One hundred years after the Cosserats
Place of PublicationBerlin
ISBN (Print)978-1-4419-5694-1
Publication statusPublished - 2010

Publication series

NameAdvances in mechanics and mathematics
ISSN (Print)1571-8689


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