Abstract

This paper provides a study on mixed-mode fracture mechanics in thin-walled tube which is subjected to tension, shear and torsion loading. This type of loading causes an inclined crack to develop and generate a mixture of normal and shear stresses ahead of a crack tip. The stress state ahead of a crack tip is frequently based on mixed-mode type of interactions which designate the amplitude of the crack tip stresses. The analytical expressions for the stress intensity factors for mixed-mode I + II approach are presented. The Paris law for mixed-modes I + II has been discussed. Mixed-mode fracture mechanics is used with theoretical models to predict the path of crack growth when an inclined crack is subjected to a combination of mode I and mode II deformations. The torque at which crack propagation can be expected has been determined. The numerical calculations have been carried out by using MATLAB code. The results are good and could be useful for companies working with thin-walled circular tubes.

Highlights

  • Production and use of steel structures were found to be accompanied by failures and breakdowns of structures such as rails, vessels, large tanks, boilers, bridges and many more

  • Cracks in brittle structures are often governed by linear elastic fracture mechanics

  • Fracture toughness is a measure of the ability of a material to resist the growth of a pre-existing crack or flaw, that is, it is a critical value of the stress intensity factor K at the time of an unstable crack propagation, that is, K = K

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Summary

Introduction

Production and use of steel structures were found to be accompanied by failures and breakdowns of structures such as rails, vessels, large tanks, boilers, bridges and many more. A central inclined crack of length 2a in a thin-walled circular tube as shown, is considered. The tube is loaded by a torque T and an axial tensile force F In this case, it is assumed that r >> t so that the curvature of the tube may be neglected when the stress intensity factor is determined. Fracture toughness is a measure of the ability of a material to resist the growth of a pre-existing crack or flaw, that is, it is a critical value of the stress intensity factor K at the time of an unstable crack propagation, that is, K = K

Law of Fatigue Crack Propagation
Numerical Experimental Procedures
Calculations and Results
Conclusions
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