𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new triangular element for finite difference solution of axisymmetric conduction problems in cylindrical co-ordinates

✍ Scribed by Prafulla C. Mahata; Orlo McNary

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
894 KB
Volume
8
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The triangular element is one of the most useful finite difference elements for the potential problems because of its versatility in fitting irregular boundary, in connecting one element type to another, and in changing grid fineness. Such triangular elements find many applications in conduction problems in cartesian co‐ordinates. This paper presents a new triangular element for the finite' difference solution of axisymmetric conduction problems in cylindrical co‐ordinates. The validity of the proposed triangular element is analyzed, and its workability is demonstrated using three selected examples. Also, an industrial application highlights the advantageous characteristics of the triangular element, and gives a comparison with known results obtained by finite element method.

📜 SIMILAR VOLUMES

A higher-order triangular finite element
A higher-order triangular finite element for the solution of field problems in orthotropic media
✍ D. G. Harrison; Y. K. Cheung 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 395 KB 👁 1 views

## Abstract This paper presents a triangular finite element for the solution of two‐dimensional field problems in orthotropic media. The element has nine degrees of freedom, these being the potential and its two derivatives at each node. The ‘stiffness’ matrix is derived analytically so that no fu