A closed-form asymptotic solution is provided for the nominal stress rates, hydrostatic pressure and velocity fields near the tip of a stationary crack in a homogeneously pre-stressed configuration for a broad class of incompressible elastic materials undergoing small superimposed deformations, under Mode I or Mode II loading conditions. The Biot theory of incremental elasticity is assumed to govern the mechanical behavior of the medium. The obtained asymptotic solution reveals that the nominal stress rate fields near the crack-tip displays the square root singularity as for the infinitesimal deformation theory.
On effects of pre-stress on crack-tip fields in elastic, incompressible solids
CAPUANI, Domenico
2001
Abstract
A closed-form asymptotic solution is provided for the nominal stress rates, hydrostatic pressure and velocity fields near the tip of a stationary crack in a homogeneously pre-stressed configuration for a broad class of incompressible elastic materials undergoing small superimposed deformations, under Mode I or Mode II loading conditions. The Biot theory of incremental elasticity is assumed to govern the mechanical behavior of the medium. The obtained asymptotic solution reveals that the nominal stress rate fields near the crack-tip displays the square root singularity as for the infinitesimal deformation theory.File in questo prodotto:
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