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  • Book
  • © 1998

Materials with Memory

Initial-Boundary Value Problems for Constitutive Equations with Internal Variables

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1682)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction

    • Hans-Dieter Alber
    Pages 1-5
  3. Transformation of interior variables

    • Hans-Dieter Alber
    Pages 57-73
  4. Classification conditions

    • Hans-Dieter Alber
    Pages 75-97
  5. Application of the theory to engineering models

    • Hans-Dieter Alber
    Pages 117-136
  6. Open problems and related results

    • Hans-Dieter Alber
    Pages 137-142
  7. Back Matter

    Pages 143-166

About this book

This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.

Keywords

  • Boundary value problem
  • continuum mechanics of metals
  • initial-boundary value problems
  • monotone operators
  • partial differential equations
  • thermodynamics
  • viscoelasticity

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions