✦ LIBER ✦

Volumetric locking in the element free Galerkin method

✍ Scribed by John Dolbow; Ted Belytschko

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 182 KB
Volume: 46
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19991030)46:6<925::aid-nme729>3.0.co;2-y

No coin nor oath required. For personal study only.

✦ Synopsis

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 performance of the proposed technique to the standard EFG approximation. These studies illustrate the capability of the new formulation to eliminate volumetric locking. For the standard method, however, the degree of volumetric locking is shown to be a function of the local support sizes (domains of in uence) of the EFG shape functions.

📜 SIMILAR VOLUMES

Locking in the incompressible limit for

Locking in the incompressible limit for the element-free Galerkin method

✍ Antonio Huerta; Sonia Fernández-Méndez 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 303 KB 👁 1 views

Volumetric locking in natural neighbour

Volumetric locking in natural neighbour Galerkin methods

✍ D. González; E. Cueto; M. Doblaré 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

Locking in the incompressible limit: pse

Locking in the incompressible limit: pseudo-divergence-free element free Galerkin

✍ Vidal, Yolanda ;Villon, Pierre ;Huerta, Antonio 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 1 views

Negative penalty functions in the elemen

Negative penalty functions in the element-free Galerkin method

✍ Askes, Harm ;Pannachet, Tanyada 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 46 KB 👁 1 views

Locking and hourglass phenomena in an el

Locking and hourglass phenomena in an element-free Galerkin context: the B-bar method with stabilization and an enhanced strain method

✍ D. P. Recio; R. M. Natal Jorge; L. M. S. Dinis 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 462 KB 👁 1 views

## Abstract The meshless methods, namely the element‐free Galerkin method (EFGM), when they first appeared claimed that volumetric __locking__ and __hourglass__ were avoided. This was not the case and both phenomena occur in the EFGM. In the context of the finite element method (FEM) these phenomen

DYNAMIC FRACTURE USING ELEMENT-FREE GALE

DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS

✍ T. BELYTSCHKO; M. TABBARA 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 980 KB

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 surface