O'Reilly logo

Finite Element Method with Applications in Engineering by T. L. Eldho, Y. M. Desai

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

5.4 TWO-DIMENSIONAL ELEMENTS

Triangular, rectangular and quadrilateral elements are most widely used for two-dimensional finite element modelling. Various properties of these elements and related interpolation functions are discussed in this section.

5.4.1 Triangular Element: Linear Interpolation Function in Cartesian Co-ordinates

The triangular element was formulated by Turner et al. (1956). It is commonly used element shape for two-dimensional problems. Triangular elements can be used when the field variable is a function of two independent variables, namely x and y. Variation of field variable ɸ over the domain of an element can be written in polynomial form as

 

 

where α1, α2 and α3 are the coefficients to be evaluated.

Let the nodes ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required