钢基体的塑性变形.pdf

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1. Introduction tion, performed in a self consistent manner, has been
solved for general distributions of fiber orientations but
In Part I of the current paper [1] we have shown the just for the elastic case [2,3]. Extension to elastoplastic
suitability of an Eshelby type extended model to calcu- matrix cases is more complicated when a mean field
late the stress localization and plastic relaxation in the approach to interaction is intended. It will be addressed
vicinities of hard round inclusions. Technological appli- in a sequel of the present paper [4]. Currently we have
cations are far more interesting when reinforcing fibers performed calculations for prolate and oblate ellipsoids
are used and the resultant reinforced materials have for thermal, mechanical and thermomechanical loads.
gone through all the steps of industrial applications. A control of the accuracy of the simulation is achieved
For elongated particles (fibers) or very flat ones through a mesh convergence criterion for prolate ellip-
(lamella-like) the stress and strain fields developed in soids. Reasons for debonding and fracture are also
the matrix are anisotropic despite considering homoge- explored. Unfortunately the difficulty in visualizing the
neous and isotropic material properties for both the analytic expressions provided by the Eshelby solution
matrix and inclusion. Except for elastic regimes, analyt- has only been recently partially solved for spherical
ical solutions are no longer applicable and the com- inclusions [5]. The results obtained by direct application
posite response is quite different whether solicited along of the elastic Eshelby model are always taken as refer-
the largest or the shortest axes. Some sort of interac- e