Abstract

In the paper the classical Dugdale model has been generalized taking into account the influence of the specimen thickness, in-plane constraint as well as the effect of the strain hardening on the level of stress distribution within the strip yield zone (SYZ). Modification has been performed utilizing Huber, Mises, Hencky as well as Tresca yield hypotheses and Guo Wanlin Tz coefficient. Results are presented in a form useful for applications. As an example, the modified model has been applied to draw the failure assessment diagram (FAD). New FAD’s have been compared with others adopted from the SINTAP procedures.

Highlights

  • Tri-dimensional numerical stress analyses (e.g. [1,2,3]) in front of the crack within elastic-plastic materials show that plane strain dominates over the region close to the crack tip and midsection of specimen

  • Two-dimensional finite element (FE) analyses using finite strains (e.g. [4]) show that the stress components σ11 and σ22 reach the maximum values, which depend on Ramberg-Osgood (R-O) work hardening power exponent n, at distance from the crack tip close to 2δT, where δT is crack tip opening displacement

  • From the location of maximum stress to the crack front both stress components decrease down to zero and σ0 value respectively (σ0 is the yield stress). These analyses show that the stress distribution in front of the crack depends on the plastic properties of material and on the in- and out-of-plane constraints

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Summary

Introduction

Tri-dimensional numerical stress analyses (e.g. [1,2,3]) in front of the crack within elastic-plastic materials show that plane strain dominates over the region close to the crack tip and midsection of specimen (see Fig.1b). [1,2,3]) in front of the crack within elastic-plastic materials show that plane strain dominates over the region close to the crack tip and midsection of specimen (see Fig.1b). Plane stress is reached at certain distance from the crack tip. From the location of maximum stress to the crack front both stress components decrease down to zero and σ0 value respectively (σ0 is the yield stress). These analyses show that the stress distribution in front of the crack depends on the plastic properties of material and on the in- and out-of-plane constraints

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