𝔖 Bobbio Scriptorium
✦   LIBER   ✦

DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS

✍ Scribed by T. BELYTSCHKO; M. TABBARA

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
980 KB
Volume
39
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

The element-free Galerkin method for dynamic crack propagation is described and applied to several problems. This method is a gridless method, which facilitates the modelling of growing crack problems because it does not require remeshing; the growth of the crack is modelled by extending its surfaces. The essential feature of the method is the use of moving least-squares interpolants for the trial-and-test functions. In these interpolants, the dependent variable is obtained at any point by minimizing a weighted quadratic form involving the nodal variables within a small domain surrounding the point. The discrete equations are obtained by a Galerkin method. The procedures for modelling dynamic crack propagation based on dynamic stress intensity factors are also described.

πŸ“œ SIMILAR VOLUMES

ENRICHED ELEMENT-FREE GALERKIN METHODS F
ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS
✍ M. FLEMING; Y. A. CHU; B. MORAN; T. BELYTSCHKO πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 408 KB πŸ‘ 2 views

The Element-Free Galerkin (EFG) method is a meshless method for solving partial differential equations which uses only a set of nodal points and a CAD-like description of the body to formulate the discrete model. It has been used extensively for fracture problems and has yielded good results when ad

Volumetric locking in the element free G
Volumetric locking in the element free Galerkin method
✍ John Dolbow; Ted Belytschko πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 182 KB πŸ‘ 1 views

A new formulation of the Element Free Galerkin (EFG) method is developed for the modelling of incompressible materials. Beginning with a mixed variational principle, a selective reduced integration procedure is developed by implementing nodal quadrature. Numerical examples are provided which compare

The Element Free Galerkin method for dyn
The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks
✍ Petr Krysl; Ted Belytschko πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 895 KB

A technique for modelling of arbitrary three-dimensional dynamically propagating cracks in elastic bodies by the Element-Free Galerkin (EFG) method with explicit time integration is described. The meshless character of this approach expedites the description of the evolving discrete model; in contra