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

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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademic

Samenvatting

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.
Originele taal-2Engels
TitelMechanics of generalized continu a: One hundred years after the Cosserats
Plaats van productieBerlin
UitgeverijSpringer
Pagina's245-250
ISBN van geprinte versie978-1-4419-5694-1
DOI's
StatusGepubliceerd - 2010

Publicatie series

NaamAdvances in mechanics and mathematics
Volume21part6
ISSN van geprinte versie1571-8689

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