Abstract
Introduce two fixed coordinate systems: the system {Xα} and the system {xi} The body in reference configuration BR is referred to the system {Xα}, and the body in actual configuration B is referred to the system {xi}. The material point is identified by its position in BR; by three numbers Xα, α = 1, 2, 3. Position of this point at time t is determined by three numbers xi, i = 1, 2, 3, which are its coordinates in the system {xi}.
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.
Additional Literature
Bland D.R., Nonlinear dynamic elasticity, Waltham 1969.
Fedorov I., Theory of elastic waves in cristals, New York 1968.
Brillouin L., Wave propagation and group velocity, New York 1960.
Courant R., Hilbert D., Methoden der matematischen Physik II, Berlin 1968.
Wesolowski Z., Linear independence of amplitudes of reflected acceleration waves, Bull. Acad. Polon. Sci., Ser, Sci. Tech., 12, 23, 1975.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag Wien
About this chapter
Cite this chapter
Wesolowski, Z. (1978). Wave Propagation in Finitely Deformed Elastic Material. In: Wesolowski, Z. (eds) Nonlinear Dynamics of Elastic Bodies. International Centre for Mechanical Sciences, vol 227. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2746-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2746-9_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81512-0
Online ISBN: 978-3-7091-2746-9
eBook Packages: Springer Book Archive