© 2012

Phase Change in Mechanics


  • 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


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


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.


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

Authors and affiliations

  1. 1.Dipartimento di Ingegneria CivileUniversità di Roma "Tor Vergata"RomaItaly

Bibliographic information

Industry Sectors
Finance, Business & Banking


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)