𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite element for variable order singularities based on the displacement formulation

✍ Scribed by S. K. Maiti


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
944 KB
Volume
33
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


An element for analysis of variable order one point singularities in plane problems has been proposed. The element meets all the convergence requirements, viz. the rigid body mode, the constant strain condition and the interelement compatibility. It can be easily incorporated in any package based on the displacement formulation. Four examples from fracture mechanics are presented to demonstrate its performance. The examples involve mechanical or thermal loadings. The accuracy of results in all the examples is very good.


📜 SIMILAR VOLUMES


A finite element formulation based on Na
✍ Hong Ou Kim 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 675 KB

## Abstract A numerical method of the Newton‐Raphson type is presented for elasto‐plastic analysis using the finite element method. The method is developed from Nadai's deformation theory and Hooke's law. Numerical examples are used to show that the method provides very rapid solution convergence.

Development of a quadratic finite elemen
✍ G. Haasemann; M. Kästner; S. Prüger; V. Ulbricht 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 500 KB

## Abstract The FE‐simulation of inhomogeneous structures, such as composite materials, biological tissues or foams, requires the generation of respective finite element meshes. With increasing complexity of the inner architecture of such structures, this becomes a time‐consuming and laborious task

Finite element methods based on a new fo
✍ Ping Lin; Xianqiao Chen; Ming Tze Ong 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 867 KB

## Abstract A new formulation of the Navier–Stokes equations is introduced to solve incompressible flow problems. When finite element methods are used under this formulation there is no need to worry whether Babuska–Brezzi condition is satisfied or not. Both velocity and pressure can be obtained se