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Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis by Gavin R. Thomson, Christian Constanda

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About this book :-
Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis written by Gavin R. Thomson, Christian Constanda.
Approximate theories describing the bending of plates are important because they reduce the equations of classical three-dimensional elasticity to a system involving only two independent space variables, while highlighting the important bending characteristics of the elastic structure. Such theories have been used successfully in many practical engineering applications. The Mindlin-type model differs from the classical Kirchhoff theory in that it accounts for transverse shear deformation as well, thereby offering additional useful information to practitioners.
Boundary integral equation methods have been widely used in the study of various elliptic systems arising in the theory of elasticity and beyond, such as equilibrium and dynamic problems in the process of deformation of two- and threedimensional elastic bodies, and the equilibrium and time-dependent bending of elastic and thermoelastic plates with transverse shear deformation.

Book Detail :-
Title: Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis
Edition:
Author(s): Gavin R. Thomson, Christian Constanda
Publisher: Birkhäuser Basel
Series:
Year: 2011
Pages: 245
Type: PDF
Language: English
ISBN: 0817682406
Country: US
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About Author :-
The author Christian Constanda , MS, PhD, DSc, The Charles W. Oliphant Professor of Mathematical Sciences, The University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104, USA.

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Book Contents :-
Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis written by Gavin R. Thomson, Christian Constanda cover the following topics.
1. The Mathematical Model
2. Layer Potentials
3. The Nonhomogeneous System
4. The Question of Uniqueness for the Exterior Problems
5. The Eigenfrequency Spectra of the Interior Problems
6. The Question of Solvability
7. Direct Boundary Equation Formulation
8. Modified Fundamental Solutions
9. Problems with Robin Boundary Conditions
10. The Transmission Problem
11. The Null Field Equations
A Proof of Lemma 8.1
B The Matrix U(s )m
References
Index


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