Abstract
In this chapter we describe the basic relations for four-node shell elements related to the FE approximations, numerical integration, and derivation of the tangent matrix and residual vector. The literature on four-node shell elements is vast, see, e.g., [123, 101, 162, 117, 118, 192, 235, 209, 85, 213, 165, 73, 217, 106, 242, 41, 108, 32, 68, 201, 243, 53], and many others. The finite element method has achieved remarkable sophistication, but also great complexity, see the classical textbooks on FEs, such as [36, 98, 125, 61, 62, 16, 268, 58] and the new ones [160] and [161]. The requirements which new shell elements have to satisfy, are better defined and more demanding than they were some years ago.
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.
Editor information
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Wiśniewski, K. (2009). Basic relations for four-node shell elements. In: Wiśniewski, K. (eds) Finite Rotation Shells. Lecture Notes on Numerical Methods in Engineering and Sciences. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8761-4_10
Download citation
DOI: https://doi.org/10.1007/978-90-481-8761-4_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8760-7
Online ISBN: 978-90-481-8761-4
eBook Packages: EngineeringEngineering (R0)