✦ LIBER ✦

Numerical determination of a class of generalized stress intensity factors

✍ Scribed by N. I. Ioakimidis; P. S. Theocaris

Publisher: John Wiley and Sons
Year: 1979
Tongue: English
Weight: 669 KB
Volume: 14
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620140702

No coin nor oath required. For personal study only.

✦ Synopsis

A modification of the collocation method for the numerical solution of Cauchy-type singular integral equations appearing in plane elasticity and, especially, crack problems is proposed. This modification, based on a variable transformation, applies to the case when the unknown function of the singular integral equation behaves like A(x -c)" + B ( x -c)', where LY <0, O < 6 -a < 1, near an endpoint c of the integration interval. In plane elasticity such a point is either a crack tip or a corner point of the boundary of the elastic medium. Thus the method seems to be quite efficient €or the numerical evaluation of generalized stress intensity factors near such points. A successful application of the method to the classical plane elasticity problem of an antiplane shear crack terminating at a bimaterial interface was also made.

📜 SIMILAR VOLUMES

Three iterative methods for the numerica

Three iterative methods for the numerical determination of stress intensity factors

✍ N.I. Ioakimidis 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 647 KB

Ah&act-Three iterative methods for the numerical determination of stress intensity factors at crack tips (by using the method of singular integral equations with Cauchy-type kernels) are proposed. These methods are based on the Neumann iterative method for the solution of Fredholm integral equations

A photoelastic determination of Ki stres

A photoelastic determination of Ki stress intensity factors

✍ P.S. Theocaris; E.E. Gdoutos 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 981 KB

THE sraxss distribution in a plate into which a crack is generated has been studied by many investigators. The most earlier contri&tuions are due to Inglis[ll, who studied the stresses around an elliptic hole in an iu8nite plate and to Westergaard [2], who treated the crack problem by the complex. v

A remark on the direct numerical determi

A remark on the direct numerical determination of stress intensity factors at crack tips

✍ N. I. Ioakimidis 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 1 views

A superconvergence result for the natura

A superconvergence result for the natural extrapolation formula for the numerical determination of stress intensity factors

✍ N. I. Ioakimidis 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 597 KB

On the numerical evaluation of stress in

On the numerical evaluation of stress intensity factors for an interface crack of a general shape

✍ Johan Helsing 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB 👁 2 views

A numerical algorithm is presented for the problem of a crack along the interface of an elastic inclusion embedded in an elastic plane subjected to uniform stress at inÿnity. The algorithm is based on a Fredholm integral equation of the second kind and allows for fast and accurate solutions to geome

Numerical estimation of stress intensity

Numerical estimation of stress intensity factors in patched cracked plates

✍ Ramesh Chandra; K. Guruprasad 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 660 KB

The fatigue and fracture performance of a cracked plate can be substantially improved by providing patches as reinforcements. The effectiveness of the patches is related to the reduction they cause in the stress intensity factor (SIF) of the crack. So, for reliable design, one needs an accurate eva