Numéro
J. Phys. IV France
Volume 08, Numéro PR8, November 1998
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications
Page(s) Pr8-333 - Pr8-340
DOI https://doi.org/10.1051/jp4:1998841
2nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications

J. Phys. IV France 08 (1998) Pr8-333-Pr8-340

DOI: 10.1051/jp4:1998841

On a continuum model of an intrinsic length scale

M.B. Rubin

Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, 32000 Haifa, Israel


Abstract
A phenomenological model has been developed [4] which modifies the constitutive equations of a general continuum to include the dynamic dispersive effects of a an intrinsic characteristic length scale. The new terms in this model are nondissipative and they are characterized by a single material constant. Moreover, the modified model requires no additional initial or boundary conditions. Here, an example problem of dynamic simple shearing of a metal with a discontinuity in yield strength is considered to show how these new terms control strain localization. The results of the modified theory for a rate-independent plastic material are compared with those of a viscoplastic material with no intrinsic length scale.



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