Mathematical Methods for Elastic Plates

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mechanics
Cover of the book Mathematical Methods for Elastic Plates by Christian Constanda, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Christian Constanda ISBN: 9781447164340
Publisher: Springer London Publication: June 24, 2014
Imprint: Springer Language: English
Author: Christian Constanda
ISBN: 9781447164340
Publisher: Springer London
Publication: June 24, 2014
Imprint: Springer
Language: English

Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoff’s classical one.

The first method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on the basis of the properties of suitable layer potentials, are then solved in spaces of smooth (Hölder continuous and Hölder continuously differentiable) functions.

The second technique rewrites the differential system in terms of complex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials.

The last chapter develops a generalized Fourier series method closely connected with the structure of the system, which can be used to compute approximate solutions. The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure.

The presentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students with a basic knowledge of advanced calculus.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoff’s classical one.

The first method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on the basis of the properties of suitable layer potentials, are then solved in spaces of smooth (Hölder continuous and Hölder continuously differentiable) functions.

The second technique rewrites the differential system in terms of complex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials.

The last chapter develops a generalized Fourier series method closely connected with the structure of the system, which can be used to compute approximate solutions. The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure.

The presentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students with a basic knowledge of advanced calculus.

More books from Springer London

Cover of the book Selected References in Trauma and Orthopaedics by Christian Constanda
Cover of the book Multiscale Modeling in Biomechanics and Mechanobiology by Christian Constanda
Cover of the book Transesophageal Echocardiography in Clinical Practice by Christian Constanda
Cover of the book Proofs and Algorithms by Christian Constanda
Cover of the book Fundamentals of Discrete Math for Computer Science by Christian Constanda
Cover of the book Clinical Cases in Psychocutaneous Disease by Christian Constanda
Cover of the book Two-Dimensional Change Detection Methods by Christian Constanda
Cover of the book Subarachnoid Haemorrhage by Christian Constanda
Cover of the book Distributed Multiple Description Coding by Christian Constanda
Cover of the book Controversies in Aortic Dissection and Aneurysmal Disease by Christian Constanda
Cover of the book Special Procedures in Foot and Ankle Surgery by Christian Constanda
Cover of the book The Offshoring Challenge by Christian Constanda
Cover of the book Diagnostic Techniques in Urology by Christian Constanda
Cover of the book Atlas of Heart Anatomy and Development by Christian Constanda
Cover of the book Compression Schemes for Mining Large Datasets by Christian Constanda
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy