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Introduction to Nonlinear Thermomechanics of Solids

  • Michał Kleiber
  • Piotr Kowalczyk

Table of contents

  1. Front Matter
    Pages i-viii
  2. Michał Kleiber, Piotr Kowalczyk
    Pages 1-4
  3. Michał Kleiber, Piotr Kowalczyk
    Pages 5-13
  4. Michał Kleiber, Piotr Kowalczyk
    Pages 15-79
  5. Michał Kleiber, Piotr Kowalczyk
    Pages 81-113
  6. Michał Kleiber, Piotr Kowalczyk
    Pages 115-141
  7. Michał Kleiber, Piotr Kowalczyk
    Pages 143-153
  8. Michał Kleiber, Piotr Kowalczyk
    Pages 155-199
  9. Michał Kleiber, Piotr Kowalczyk
    Pages 201-211
  10. Michał Kleiber, Piotr Kowalczyk
    Pages 213-231
  11. Michał Kleiber, Piotr Kowalczyk
    Pages 233-264
  12. Michał Kleiber, Piotr Kowalczyk
    Pages 265-286
  13. Michał Kleiber, Piotr Kowalczyk
    Pages 287-313
  14. Michał Kleiber, Piotr Kowalczyk
    Pages 315-340
  15. Back Matter
    Pages 341-345

About this book

Introduction

The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

Keywords

computational solid mechanics nonlinear thermomechanics of deformable bodies tensor algebra and analysis variational methods finite element method CIMNE

Authors and affiliations

  • Michał Kleiber
    • 1
  • Piotr Kowalczyk
    • 2
  1. 1.Inst.of Fund Technik. ResearchPolish Academy of ScienceWarsawPoland
  2. 2.Department of Computational ScienceInstitute of Fundamental Technological RWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-33455-4
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-33454-7
  • Online ISBN 978-3-319-33455-4
  • Series Print ISSN 1877-7341
  • Series Online ISSN 1877-735X
  • Buy this book on publisher's site