Abstract
This chapter covers the continuum mechanical description of classical plate members. Classical plates are thin plates where the contribution of the shear force on the deformations is neglected. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Blaauwendraad J (2010) Plates and FEM: surprises and pitfalls. Springer, Dordrecht
Reddy JN (2006) An introduction to the finite element method. McGraw Hill, Singapore
Timoshenko S, Woinowsky-Krieger S (1959) Theory of plates and shells. McGraw-Hill Book Company, New York
Ventsel E, Krauthammer T (2001) Thin plates and shells: theory, analysis, and applications. Marcel Dekker, New York
Wang CM, Reddy JN, Lee KH (2000) Shear deformable beams and plates: relationships with classical solution. Elsevier, Oxford
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Öchsner, A. (2020). Classical Plates. In: Partial Differential Equations of Classical Structural Members. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-35311-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-35311-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-35310-0
Online ISBN: 978-3-030-35311-7
eBook Packages: EngineeringEngineering (R0)