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Phase Change in Mechanics

  • Book
  • © 2012

Overview

Authors:
  1. Michel Frémond

    1. Dipartimento di Ingegneria Civile, Università di Roma "Tor Vergata", Roma, Italy

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  • Thermomechanical predictive theories of phase change are improved by a renewed principle of virtual power
  • Coupling of volume damage and of surface adhesion are highly innovative for civil and mechanical engineering
  • A novel theory of macroscopic clouds evolution innovates in fluid mechanics
  • Mechanical and thermal effects of collisions, involving phase change are accurately and comprehensively predicted
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Michel Frémond
    Pages 1-2

  3. The State Quantities and the Quantities Describing the Evolution

    • Michel Frémond
    Pages 3-4

  4. The Basic Laws of Mechanics

    • Michel Frémond
    Pages 5-29

  5. Solid–Liquid Phase Change

    • Michel Frémond
    Pages 31-66

  6. Shape Memory Alloys

    • Michel Frémond
    Pages 67-100

  7. Damage

    • Michel Frémond
    Pages 101-107

  8. Contact with Adhesion

    • Michel Frémond
    Pages 109-113

  9. Damage of Solids Glued on One Another: Coupling of Volume and Surface Damages

    • Michel Frémond
    Pages 115-130

  10. Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice

    • Michel Frémond
    Pages 131-140

  11. Phase Change and Collisions

    • Michel Frémond
    Pages 141-191

  12. Collisions of Deformable Bodies and Phase Change

    • Michel Frémond
    Pages 193-216

  13. Phase Change Depending on a State Quantity: Liquid–Vapor Phase Change

    • Michel Frémond
    Pages 217-222

  14. Clouds: Mixture of Air, Vapor and Liquid Water

    • Michel Frémond
    Pages 223-268

  15. Conclusion

    • Michel Frémond
    Pages 269-269

  16. Back Matter

    Pages 295-303
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Keywords

About this book

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.

Reviews

From the reviews:

“These lecture notes present some predictive theories of phenomena involving phase changes with applications in engineering, within the framework of continuum thermo-mechanics. The author investigates some solid-liquid phase changes, volume and surface damage, and phase changes involving temperature discontinuities. … this is a valuable contribution to the phase change theory in continuum mechanics, excluding polar and non-local constitutive behaviour, and it is recommendable to engineers and researchers interested in the field.” (M. Cengiz Dökmeci, Zentralblatt MATH, Vol. 1253, 2013)

Authors and Affiliations

  • Dipartimento di Ingegneria Civile, Università di Roma "Tor Vergata", Roma, Italy

    Michel Frémond

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