Abstract
The basic relationships of the linearized theory of elasticity of a continuous system are reviewed in different notations. The governing equations are expressed in terms of the displacement field, together with the appropriate initial and boundary conditions. The equations of motion of a few structural members are deduced.
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.
Bibliography
A. E. H. Love. A Treatise on the Mathematical Theory of Elasticity. Dover publication, New York, fourth edition, 1944.
S. P. Timoshenko and J. N. Goodier. Theory of Elasticity. International Student Edition. McGraw-Hill Kogakusha Ltd, Tokio, 1970.
E. Tonti. The reason for analogies between physical theories. Applied Mathematical Modelling, 1:37–50, 1976.
E. Viola. The Science of Constructions-Theory of Elasticity. Pitagora Editor, Bologna, 1990. (in Italian).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 CISM, Udine
About this chapter
Cite this chapter
Viola, E. (2007). Basic Equations of the Linearized Theory of Elasticity: a Brief Review. In: Elishakoff, I. (eds) Mechanical Vibration: Where do we Stand?. International Centre for Mechanical Sciences, vol 488. Springer, Vienna. https://doi.org/10.1007/978-3-211-70963-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-211-70963-4_1
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-68586-0
Online ISBN: 978-3-211-70963-4
eBook Packages: EngineeringEngineering (R0)