Partial Differential Equations in Mechanics 2

• Publisher:   Springer
• Number Of Pages:   698
• Publication Date:   2000-11-27
• ISBN-10 / ASIN:   3540672842
• ISBN-13 / EAN:   9783540672845

This two-volume work mainly addresses undergraduate and graduate students in the engineering sciences and applied mathematics. Hence it focuses on partial differential equations with a strong emphasis on illustrating important applications in mechanics. The presentation considers the general derivation of partial differential equations and the formulation of consistent boundary and initial conditions required to develop well-posed mathematical statements of problems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight engineering applications. The mathematical developments include a complete discussion of uniqueness theorems and, where relevant, a discussion of maximum and minimum principles. The primary aim of these volumes is to guide the student to pose and model engineering problems, in a mathematically correct manner, within the context of the theory of partial differential equations in mechanics.

I bought this text book because I was trying to solve the biharmonic equation for the bending of thin plates or slabs using the separation of variables technique. What I found in Section 8.11.13 on page 339 is exactly what I was looking for. I liked Partial Diffential Equations in Mechanics 2 so well that I also ordered Partial Differential Equations in Mechanics 1 as well. I like it equally well. I have not examined other sections as thoroughly as Section 8.11 in PDE Mechanics 2. But I can tell you that this is an excellent reference to have if you plan on solving PDEs.

I have also bought the following titles in reference to the bending of thin plates or slabs:

1. Handbook of Structural Engineering by CHEN ISBN 0-8493-2674-5
2. Advanced Mechanics of Materials ISBN 0-471-55157-0
3. Partial Differential Equations in Mechanics 1 ISBN 3-540-67283-4
4. Mechanics of Structures Variational and Computational Methods ISBN 0-8493-4435-2
5. Engineering Solid Mechanics Fundamentals and Applications ISBN 0-8493-1607-3
6. Continuum Mechanics for Engineers ISBN 0-8493-1855-6
7. Reinforced Concrete Slabs ISBN 0-471-34850-3
8. Shaum's Outline Fourier Analysis with Applications to Boundary Value Problems ISBN 0-07-060219-0

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