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Spatio-temporal instabilities in deformation and fracture

Conference ·
OSTI ID:175383
 [1]
  1. Michigan Tech Univ., Houghton, MI (United States)
The approach of gradient-dependent constitutive equations and nonlinear instability analysis as advocated by the author and his co-workers to address spatio-temporal periodic phenomena in deformation and fracture is reviewed and some new results are presented. Dislocation patterning in bulk materials and thin films is considered, spatial features of adiabatic shear bands are discussed and oscillations in fracture are described. Following the author`s original suggestion first outlined in 1982 at an international symposium on {open_quotes}Defects, Fracture and Fatigue,{close_quotes} a number of papers by the author, his co-authors have introduced an internal length scale into the form of gradient-dependent constitutive equations. This makes it possible to capture heterogeneity and deal with mesh-size sensitivity in the material softening regime for deformation, damage and dislocation problems. In this connection, a most notable contribution by Fleck/Muller/Ashby/Hutchinson on {open_quotes}strain gradient plasticity{close_quotes} introduced recently to capture size effects, is discussed.
OSTI ID:
175383
Report Number(s):
CONF-950686--
Country of Publication:
United States
Language:
English

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