Abstract
The mathematical foundations of two-dimensional isoparametric finite elements are considered. The concept of shape functions for interpolation of unknown fields and for description of element shape is introduced. Use of a Jacobi matrix for creation of a displacement differentiation matrix is explained. It is shown how to compute element matrices and vectors using numerical integration. Extrapolation of stress values from reduced integration points to element nodes is demonstrated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2010 Springer-Verlag London Limited
About this chapter
Cite this chapter
(2010). Two-dimensional Isoparametric Elements. In: Programming Finite Elements in Java™. Springer, London. https://doi.org/10.1007/978-1-84882-972-5_10
Download citation
DOI: https://doi.org/10.1007/978-1-84882-972-5_10
Publisher Name: Springer, London
Print ISBN: 978-1-84882-971-8
Online ISBN: 978-1-84882-972-5
eBook Packages: EngineeringEngineering (R0)