Phase Change in Mechanics

1. Front Matter

   Pages i-xiii

   PDF

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

    PDF

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
• air pollution and air quality

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)

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

  Michel Frémond

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