Phase Change in Mechanics

  • Michel Frémond

Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 13)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Michel Frémond
    Pages 1-2
  3. Michel Frémond
    Pages 5-29
  4. Michel Frémond
    Pages 31-66
  5. Michel Frémond
    Pages 67-100
  6. Michel Frémond
    Pages 101-107
  7. Michel Frémond
    Pages 109-113
  8. Michel Frémond
    Pages 141-191
  9. Michel Frémond
    Pages 193-216
  10. Michel Frémond
    Pages 223-268
  11. Michel Frémond
    Pages 269-269
  12. Back Matter
    Pages 295-303

About this book

Introduction

Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Keywords

74N25; 74R20; 74M15; 74M20; 80A17; 86A10; 70F35; 76A02; 35Q35 adhesion clouds damage phase change principle of virtual power

Authors and affiliations

  • Michel Frémond
    • 1
  1. 1.Dipartimento di Ingegneria CivileUniversità di Roma "Tor Vergata"RomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-24609-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-24608-1
  • Online ISBN 978-3-642-24609-8
  • Series Print ISSN 1862-9113
  • About this book