𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Mode I crack problems by fractal two level finite element methods

✍ Scribed by A.Y.T. Leung; R.K.L. Su

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
714 KB
Volume
48
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

✦ Synopsis

semi-analytical method is suggested to determine the stress intensity factor (SIF) of two-dimensional (2D) crack problems. In it. the singularity is eliminated from the computational domain by tbe fractal two Ievel finite element method (F2LFEM). In the present method, the fractal geometry concept and two level finite element method (2LFEM) are employed to automatically generate an infinitesimal mesh and transform these large number of degrees of freedom around the crack tip to a smaH set of generalized coordinates. By taking advantage of the same stiffness of 2D elements with similar shape, one transformation of the stiffness for the first layer of mesh is enough for all. This simple method is very economical in terms of computational time and computer memory. Highly accurate results of SIF and stresses are obtained.

πŸ“œ SIMILAR VOLUMES

Fractal two-level finite element method
Fractal two-level finite element method for cracked kirchhoff's plates using dkt elements
✍ A.Y.T. Leung; R.K.L. Su πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 482 KB

A technique for calculating moment intensity factors (MIF) and stress intensity factors (SIF) for through-thickness cracks in thin plates subjected to out-of-plane bending by means of fractal two-level finite element method is proposed. It is based on the nodal displacements transformation near the

Solution of two-dimensional elastic crac
Solution of two-dimensional elastic crack problems using a localized finite element method
✍ RenΓ© Souchet πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 584 KB

Two-dimensional linear elastic fracture mechanics analysis of the opening-mode crack problem is carried out, in order to use a localized finite element method. The stress distribution near the crack-tip is stated in the form of eigensolutions obtained by a classical separation variables technique.