Finite Elements In Fracture Mechanics : For General Power Type Singularity Problems

Magd Abdel Wahab

ISBN 10: 3838304012 / ISBN 13: 9783838304014

Published by LAP LAMBERT Academic Publishing, 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The computation of the strain energy release rate and the stress intensity factor in a fracture mechanics problem is of great importance since they categorise and characterize the crack growth. The work presented in this thesis concentrates on the calculation of the strain energy release rate and the stress intensity factor by the finite element method for general power type singularity problems. Based on the Irwin's crack closure integral method, strain energy release rate formulae for 3-D finite elements are derived. Applications to embedded elliptical and semi-elliptical surface crack are also presented. A family of 2-D finite elements which have the capability of modelling general power type singularity problems is developed. Those elements are useful in modelling cracks perpendicular to a bimaterial interface and kinked cracks where the stress singularity has a value different from 0.5. The concept of the 2-D element has been extended to develop a 3-D 6-noded element containing a singularity , which can be used to model a corner singularity at the crack front free surface intersection and cracks in composite materials.

Seller Inventory # 9783838304014

Bibliographic Details

• Title: Finite Elements In Fracture Mechanics : For General Power Type Singularity Problems
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3838304012
• ISBN 13: 9783838304014
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 11D millimeters 220 millimeters width by 150 millimeters height by 11 millimeters depth
• Weight: 274 grams

About this title

Synopsis

The computation of the strain energy release rate and the stress intensity factor in a fracture mechanics problem is of great importance since they categorise and characterize the crack growth. The work presented in this thesis concentrates on the calculation of the strain energy release rate and the stress intensity factor by the finite element method for general power type singularity problems. Based on the Irwin's crack closure integral method, strain energy release rate formulae for 3-D finite elements are derived. Applications to embedded elliptical and semi-elliptical surface crack are also presented. A family of 2-D finite elements which have the capability of modelling general power type singularity problems is developed. Those elements are useful in modelling cracks perpendicular to a bimaterial interface and kinked cracks where the stress singularity has a value different from 0.5. The concept of the 2-D element has been extended to develop a 3-D 6-noded element containing a singularity ?, which can be used to model a corner singularity at the crack front free surface intersection and cracks in composite materials.

About the Author

Prof Dr Magd Abdel Wahab is Professor of Applied Mechanics at the Department of Mechanical Production and Construction, Ghent University, Belgium. He received his BSc (1988) and his MSc (1991)from Cairo University. Prof Wahab completed his PhD (1995) at KU Leuven, Belgium and was awarded DSc degree (2008) from the University of Surrey, UK.