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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation: (215 Pitman Research Notes in Mathematics Series)
A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation: (215 Pitman Research Notes in Mathematics Series)

A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation: (215 Pitman Research Notes in Mathematics Series)


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About the Book

This volume examines two important and powerful techniques, the integral equation method and the stress function method, which are used in the investigation of equations and systems arising from solid mechanics. The text explores the displacement (Dirichlet) and traction (Neumann) boundary value problems to create a simplified theory of bending of elastic plates. It also analyzes the generalized Fourier series technique and identifies a fundamental sequence of functions in the space of the solution, by means of which approximations can then be constructed. The techniques presented in this work transcend the boundaries of plate theory and could prove to be of benefit to any researcher who requires the solution of a model described by a boundary value problem for an elliptic system of linear differential equations.

Table of Contents:
Part 1 Preliminary results: two-dimensional theories of elastic plates; geometry of the boundary curve; integral operators with singular kernels; singular integral equations. Part 2 Existence and uniqueness of the solution: singular solutions; elastic potentials; uniqueness theorems; existence theorems. Part 3 Generalized Fourier series: the Dirichlet and Neumann interior and exterior problems. Part 4 Complex variable treatment: stress functions; bounded multiply connected domain; unbounded domain; physical interpretation.


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Product Details
  • ISBN-13: 9780582040441
  • Publisher: Longman
  • Publisher Imprint: Longman Higher Education
  • Height: 244 mm
  • Weight: 338 gr
  • ISBN-10: 0582040442
  • Publisher Date: /02/1990
  • Binding: Paperback
  • Series Title: 215 Pitman Research Notes in Mathematics Series
  • Width: 169 mm


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A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation: (215 Pitman Research Notes in Mathematics Series)
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A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation: (215 Pitman Research Notes in Mathematics Series)
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