Closed-form solution for the size of plastic zone in an edge-cracked strip
نویسندگان
چکیده
This paper is concerned with the problem of plastic zone at the tip of an edge crack in an isotropic elastoplastic strip under anti-plane deformations. By means of complex potential and Dugdale model, the stress intensity factor and the size of plastic zone are obtained in closed-form. Furthermore, the analytic solutions for an edge crack at the free boundary of a half-space and a semi-infinite crack heading towards a free surface are determined as the limiting cases of the strip geometries. 2002 Elsevier Science Ltd. All rights reserved.
منابع مشابه
A Closed-form Semi-analytical Elastic-Plastic Solution for Predicting the Onset of Flange Wrinkling in Deep-drawing of a Two-layered Circular Plate
In this paper to predict the critical conditions for onset of elastic-plastic wrinkling of flange of a two-layered circular blank during the deep-drawing process a closed-form semi-analytical elastic-plastic solution using Tresca yield criterion alongwith deformation theory in plasticity with considernig the perfectly plastic behaviour of materials is presented. Simplifying the presented soluti...
متن کاملA CLOSED-FORM NON- LINEAR SOLUTION FOR PLASTIC FLANGE WRINKLING OF CIRCULAR PLATES IN DEEP DRAWING PROCESS
This paper deals with two-dimensional plane stress wrinkling model of a plastic annular plate. Based on energy method and the nonlinearity of strain-displacement law, a bifurcation function in polar coordinates is derived analytically. This technique leads to the critical conditions for the onset of the plastic wrinkling of flange during the deep drawing process. To find this solution, the Tres...
متن کاملClosed-form Solution of Dynamic Displacement for SLGS Under Moving the Nanoparticle on Visco-Pasternak Foundation
In this paper, forced vibration analysis of a single-layered graphene sheet (SLGS) under moving a nanoparticle is carried out using the non-local elasticity theory of orthotropic plate. The SLGS under moving the nanoparticle is placed in the elastic and viscoelastic foundation which are simulated as a Pasternak and Visco-Pasternak medium, respectively. Movement of the nanoparticle is considered...
متن کاملNumerical Formulation on Crack Closing Effect In Buckling Analysis of Edge-Cracked Columns
In this paper, buckling of simply supported column with an edge crack is investigated numerically and analytically. Four different scenarios of damage severities are applied to a column, open crack assumption and the effect of closing crack in stability of the column which depends on position and size of cracks, are numerically compared. Crack surfaces contact is modeled with GAP element using ...
متن کاملScrew dislocation interacting with twin interfacial edge cracks between two bonded dissimilar piezoelectric strips
This paper is concerned with the electroelastic potentials and the fracture parameters of a twinedge-cracked piezoelectric bimaterial strip with a screw dislocation. By means of conformal mapping technique and the known dislocation solution, the antiplane displacement and inplane electric potentials are obtained in closed-form. The intensity factors and the energy release rate are extracted exp...
متن کامل