Solution of Crack Problems

The Distributed Dislocation Technique

AvD.A. Hills,P.A. Kelly

Inbunden, Engelska, 1996

Del i serien Solid Mechanics and Its Applications

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Beskrivning

This work describes numerical and semi-analytical techniques for determining stress intensity factors for cracks - the quantities which determine and control the fatigue life of engineering components. Fatigue problems are dominated by behaviour of the crack when it is short, and in the neighbourhood of the source of nucleation, as this is where the majority of the life is used up. A knowledge of crack-tip stress intensity factors in this regime is paramount. The techniques described in this book are efficient methods of determining stress intensity factors with great precision and computational efficiency. This should allow for accurate estimates of component life and inspection intervals.

Produktinformation

Utgivningsdatum:1996-02-29
Mått:156 x 234 x 23 mm
Vikt:653 g
Format:Inbunden
Språk:Engelska
Serie:Solid Mechanics and Its Applications
Antal sidor:308
Upplaga:1996
Förlag:Kluwer Academic Publishers
ISBN:9780792338482

Utforska kategorier

Maskinteknik och material inom Naturvetenskap och teknik

Innehållsförteckning

1 Introduction to Fracture Mechanics.- 2 Distributed Dislocation Fundamentals.- 3 Further Topics in Plane Crack Problems.- 4 Interface Cracks.- 5 Solution of Axi-Symmetric Crack Problems.- 6 Three-Dimensional Cracks: An Introduction.- 7 Three-Dimensional Cracks: Further Concepts.- 8 Concluding Remarks.- A Dislocation Influence Functions.- A.1 Notation.- A.2 A Dislocation Outside a Circular Inclusion.- A.2.1 A Dislocation Near a Circular Hole.- A.3 A Dislocation Near a Straight Interface.- A.3.1 A Dislocation in a Half-Plane.- A.4 The Interfacial Dislocation.- A.4.1 Interfacial Stresses.- A.5 A Dislocation on the Boundary of a Circular Inclusion.- A.6 Displacements Due to a Dislocation.- A. 7 Transformation Rules for the Dislocation.- A.8 Dundurs’ Parameters.- B Numerical Solution of SIEs with Cauchy Kernel.- B.l The Standard Gaussian Quadrature Formulae.- B.2 Gaussian Quadrature for SIEs with Cauchy Kernel.- B.3 SIEs Arising in Surface-Breaking Crack Problems.- B.3.1 The Method of Boiko and Karpenko.- B.3.2 Expansion Method.- B.3.3 Series Expansion.- B.4 Numerical Quadrature: Generalised Cauchy Kernel.- C Plane and Ring Dipole Influence Functions.- C.1 Plane Influence Functions.- C.2 Plane Dipole Transformation Rules.- C.3.1 Asymptotic Behaviour of the Integrals.- C.3.2 Numerical Considerations.- C.4 Finite Part Integrals.- D Contour Integral and Kernel Function.- D.1 Closed-Form of Certain Contour Integrals.- References.