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Continuum Mechanics and Theory of Materials

  • Textbook
  • © 2002

Overview

Authors:
  1. Peter Haupt

    1. Institute of Mechanics, University of Kassel, Kassel, Germany

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  • This book covers the modern trends in development of the theory of material behaviour and is an introduction to understand the advanced theories of mechanics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Texts in Physics (ADTP)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XXVIII
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  2. Introduction

    • Peter Haupt
    Pages 1-6

  3. Kinematics

    • Peter Haupt
    Pages 7-74

  4. Balance Relations of Mechanics

    • Peter Haupt
    Pages 75-117

  5. Balance Relations of Thermodynamics

    • Peter Haupt
    Pages 119-154

  6. Objectivity

    • Peter Haupt
    Pages 155-176

  7. Classical Theories of Continuum Mechanics

    • Peter Haupt
    Pages 177-250

  8. Experimental Observation and Mathematical Modelling

    • Peter Haupt
    Pages 251-274

  9. General Theory of Mechanical Material Behaviour

    • Peter Haupt
    Pages 275-316

  10. Dual Variables

    • Peter Haupt
    Pages 317-344

  11. Elasticity

    • Peter Haupt
    Pages 345-395

  12. Viscoelasticity

    • Peter Haupt
    Pages 397-434

  13. Plasticity

    • Peter Haupt
    Pages 435-474

  14. Viscoplasticity

    • Peter Haupt
    Pages 475-508

  15. Constitutive Models in Thermomechanics

    • Peter Haupt
    Pages 509-618

  16. Back Matter

    Pages 619-643
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Keywords

About this book

This treatise attempts to portray the ideas and general principles of the theory of materials within the framework of phenomenological continuum mechanics. It is a well-written mathematical introduction to classical continuum mechanics and deals with concepts such as elasticity, plasticity, viscoelasticity and viscoplasticity in nonlinear materials. The aim of a general theory of material behaviour is to provide a classified range of possibilities from which a user can select the constitutive model that applies best. The book will be invaluable to graduate students of materials science in engineering and in physics. The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Reviews

"The author, a well-known expert in the field, contributed important suggestions on endochronic models, finite viscoelasticity, plasticity, polymer mechanics, and many other topics. He certainly has a broad overview over current problems and issues in material theory. At the same time, Haupt is a talented and experienced teacher, giving clear and comprehensive introductions into such complex theories as plasticity and viscoplasticity, both still far from being well-established textbook knowledge. The outcome is a careful introduction into material theory, and a detailed presentation of numerous different suggestions of some novelty. The book is therefore recommendable not only for students with some background in tensor calculus and continuum mechanics, but also for advanced researchers and engineers in the field, who will surely find fruitful stimulations when reading this rich source of material theory." (Zentralblatt Mathematik, 2000)

"In striving toward the encyclopedic, Haupt employs a full arsenal of geometric tools, from curvilinear coordinates to several different strain tensors for both the spatial and material formulations. The emphasis throughout is on the mechanics of solids." (SIAM Review, 44/1, 2002)

Authors and Affiliations

  • Institute of Mechanics, University of Kassel, Kassel, Germany

    Peter Haupt

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