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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.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Mathematical Methods for Elastic Plates by Christian Constanda
• Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes by Christian Constanda
• Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis by Christian Constanda
• Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation by Christian Constanda
• Solution Techniques for Elementary Partial Differential Equations by Christian Constanda
• Differential Equations: A Primer for Scientists and Engineers by Christian Constanda
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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
?1
?2
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