The elastostatic plane strain mode I crack tip stress and displacement fields in a generalized linear neo-Hookean elastomer

Plane-stress Crack-tip Fields for Pressure-sensitive Dilatant Materials

Abstraet--In this paper we present plane-stress crack-tip stress and strain fields for pressure-sensitive dilatant materials. A hydrostatic stress-dependent yield criterion and the normality flow rule are used to account for pressure-sensitive yielding and plastic dilatancy. The material hardening response is specified by a power-law relation. The plane-stress mode I singular fields are found i...

On Plane Waves for Mode-I Crack Problem in Generalized Thermoelasticity

A general model of the equations of generalized thermoelasticity   for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is   homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...

Dynamic Crack Propagation in Sheets of Compressible Neo-hookean Material under General In-plane Loading

Plane Strain Deformations of Locking Materials near a Crack Tip

Plane-strain deformations of an isotropic and homogeneous Hookean body containing a crack are studied and it is required that the dilatation everywhere in the body be. greater than or equal to a constant. Following Prager, the region where the dilatation always equals the constant is identified as the locking region. For the case when the deformations of the body are symmetrical about the plane...

Continuing Crack-tip Deformation and Fracture for Plane-strain Crack Growth in Elastic-plastic Solids

ANALYSIS of the deformation field consistent with a Prandtl stress distribution travelling with an advancing plane-strain crack reveals the functional form of the near tip crack profile in an elastic-plastic solid. The crack opening 6 is shown to have the form 6 N r In (const./r) at a distance r from the tip. This observation coupled with data generated from finite element investigations of gro...