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An Asymptotic Approach for the Elastodynamic Problem of a Plate under Impact Loading
Joint Authors
Michalopoulou, Penelope
Papadopoulos, George A.
Source
Advances in Acoustics and Vibration
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An approach is presented for analyzing the transient elastodynamic problem of a plate under an impact loading.
The plate is considered to be in the form of a long strip under plane strain conditions.
The loading is taken as a concentrated line force applied normal to the plate surface.
It is assumed that this line force is suddenly applied and maintained thereafter (i.e., it is a Heaviside step function of time).
Inertia effects are taken into consideration and the problem is treated exactly within the framework of elastodynamic theory.
The approach is based on multiple Laplace transforms and on certain asymptotic arguments.
In particular, the one-sided Laplace transform is applied to suppress time dependence and the two-sided Laplace transform to suppress the dependence upon a spatial variable (along the extent of the infinite strip).
Exact inversions are then followed by invoking the asymptotic Tauber theorem and the Cagniard-deHoop technique.
Various extensions of this basic analysis are also discussed.
American Psychological Association (APA)
Michalopoulou, Penelope& Papadopoulos, George A.. 2010. An Asymptotic Approach for the Elastodynamic Problem of a Plate under Impact Loading. Advances in Acoustics and Vibration،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-500196
Modern Language Association (MLA)
Michalopoulou, Penelope& Papadopoulos, George A.. An Asymptotic Approach for the Elastodynamic Problem of a Plate under Impact Loading. Advances in Acoustics and Vibration No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-500196
American Medical Association (AMA)
Michalopoulou, Penelope& Papadopoulos, George A.. An Asymptotic Approach for the Elastodynamic Problem of a Plate under Impact Loading. Advances in Acoustics and Vibration. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-500196
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500196