O'Reilly logo

The Essentials of Finite Element Modeling and Adaptive Refinement by John O. Dow

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

CHAPTER 10

FORMULATION OF A 10-NODE QUADRATIC STRAIN ELEMENT

10.1 INTRODUCTION

The stiffness matrix for a 10-node quadratic strain element, such as the one shown in Fig. 10.1, is formed using the physically interpretable strain gradient notation in this chapter. The objective of this chapter is to present the theoretical and computational advantages that accrue from introducing knowledge of continuum mechanics into the notation used to derive the stiffness matrices. The element formulation process is further explicated with two Appendices. The first Appendix presents the numerical results for the individual steps for an example 10-node finite element. The second Appendix presents annotated versions of the Matlab m-files that create the numerical ...

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