Skip to main content
SpringerLink
Log in

Partial Differential Equations in Mechanics 2

The Biharmonic Equation, Poisson’s Equation

  • Textbook
  • © 2000

Overview

Authors:
  1. A. P. S. Selvadurai

    1. Department of Civil Engineering and Applied Mechanics, Macdonald Engineering Building, McGill University, Montreal, Canada
      Humboldt-Forschungspreisträger, Institut A für Mechanik, Universität Stuttgart, Stuttgart, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The presentation of the material is strictly engineering-oriented It is aimed to enable engineering students to pose a problem as a correct mathematical statement Applications are in mechanical, civil, and process engineering

  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (2 chapters)

  1. Front Matter

    Pages I-XVIII
    Download chapter PDF

  2. The biharmonic equation

    • A. P. S. Selvadurai
    Pages 1-502

  3. Poisson’s equation

    • A. P. S. Selvadurai
    Pages 503-647

  4. Back Matter

    Pages 649-698
    Download chapter PDF
Back to top

Keywords

About this book

"For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for wri­ ting these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universities. The approach is distinctly different to that which would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling of Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equa­ tions, kinematic constraints, constitutive responses, thermodynamic restric­ tions, etc. , culminates in the development of a partial differential equation, or sets of partial differential equations, with potential for applications to en­ gineering problems. This ability to distill all the diverse information ab out a physical or mechanical process into partial differential equations is a par­ ticular attraction of the subject area.

Authors and Affiliations

  • Department of Civil Engineering and Applied Mechanics, Macdonald Engineering Building, McGill University, Montreal, Canada

    A. P. S. Selvadurai

  • Humboldt-Forschungspreisträger, Institut A für Mechanik, Universität Stuttgart, Stuttgart, Germany

    A. P. S. Selvadurai

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation