𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integral equation approach for 3D multiple-crack problems

✍ Scribed by S.H. Lo; C.Y. Dong; Y.K. Cheung

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
448 KB
Volume
72
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a traction integral equation containing no hypersingular integrals is presented to study the interaction of multiple cracks in an infinite elastic medium. 8-node quadratic quadrilateral elements are used to discretize general crack surfaces, and special crack tip elements are employed along surface boundaries to model the ffiffi r p variation of displacements near the crack fronts. Thus, the method possesses the merits of the traction integral equation without hypersingular integrals and those of the special crack tip elements for modeling ffiffi r p variation of displacements near the crack tips. The stress intensity factors at the crack front are evaluated using one point formulation and the results are compared with available solutions.

πŸ“œ SIMILAR VOLUMES

An alternative fredholm integral equatio
An alternative fredholm integral equation approach for multiple crack problem and multiple rigid line problem in plane elasticity
✍ Chen Yi-Zhou; Hasebe Norio πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 820 KB

An alternative Fredholm integral equation approach for the multiple crack problem and the multiple rigid line problem in plane elasticity is suggested in this paper. After using some operators on both sides of the singular integral equation for the relevant problem, an alternative Fredholm integral

An integral equation approach to self-si
An integral equation approach to self-similar plane-elastodynamic crack problems
✍ H. G. Georgiadis πŸ“‚ Article πŸ“… 1991 πŸ› Springer Netherlands 🌐 English βš– 513 KB

The elastodynamic problem of an expanding crack under homogeneous polynomialform loading was reduced to the solution of a Cauchy singular integral equation. In this manner the solution of the original problem can be obtained by using well-known numerical treatments available for Cauchy SIEs. The pro

Hypersingular integral equation for mult
Hypersingular integral equation for multiple curved cracks problem in plane elasticity
✍ N.M.A. Nik Long; Z.K. Eshkuvatov πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 921 KB

The complex variable function method is used to formulate the multiple curved crack problems into hypersingular integral equations. These hypersingular integral equations are solved numerically for the unknown function, which are later used to find the stress intensity factor, SIF, for the problem c

An integral equation method for dynamic
An integral equation method for dynamic crack growth problems
✍ Laurence J. Jacobs; Maciej P. Bieniek πŸ“‚ Article πŸ“… 1990 πŸ› Springer Netherlands 🌐 English βš– 719 KB

Within the assumptions of linear elastic fracture mechanics, dynamic stresses generated by a crack growth event are examined for the case of an infinite body in the state of plane strain subjected to mode I loading. The method of analysis developed in this paper is based on an integral equation in