Finite plane and anti-plane elastostatic fields with discontinuous deformation gradients near the tip of a crack
نویسندگان
چکیده
منابع مشابه
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...
متن کاملPlane-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...
متن کاملContinuing 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...
متن کاملPlane Strain Deformations near the Tip of a Contacting Interfacial Crack in Locking Materials
Plane strain deformations near the tip of a crack between two homogeneous and isotropic linear elastic bodies are studied on the assumptions that the two surfaces on either side of the crack contact each other and that the dilatation everywhere in the body is greater than or equal to a constant. The region where the dilatation equals the constant is called the locking region. It is found that o...
متن کاملTwo general integrals of singular crack tip deformation fields
The Eshelby tensor E has vanishing divergence in a homogeneous elastic material, whereas the invariance of the crack tip J integral suggests, in accord with known solutions, that the product rE will have a finite limit at the tip. Here r is distance from the tip. These considerations are shown to lead to two general integrals of the equations governing singular crack tip deformation fields. Som...
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 1984
ISSN: 0374-3535,1573-2681
DOI: 10.1007/bf00041140