ALBERT FANNJIANG
Department of Mathematics
UC Davis
Davis, CA 95616-8633
http://
fannjian@math.ucdavis.edu
Abstract:
A growing body of experimental evidences points to
the failure of classical elasticity/plasticity
to describe atomistic fracture mechanisms on
the micron/submicron scales where material size
effects seem to be present. Within the scope of
continuum mechanics, material size effects can be
described in terms of strain gradients, along
with associated material length parameters,
in the strain energy.
To accurately capture crack-tip fields and their dependence on material gradation, one clearly has to resort to numerical computation using, e.g., hypersingular integral equations formulation which has been well developed to tackle such problems. But, because of non-analyticity of crack-tip fields, crack-tip asymptotics must be first understood prior to numerical studies.
In this talk, we present theoretical analysis of crack-tip asymptotics in several models to show how various strain gradient terms affect the asymptotics.