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Phase Change in Mechanics

Michel Frémond (Autor)

Buch | Softcover

XIII, 303 Seiten

2012 | 2012
Springer Berlin (Verlag)
978-3-642-24608-1 (ISBN)

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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.

1 Introduction.- 2 The State Quantities and the Quantities Describing the Evolution.- 3 The Basic Laws of Mechanics.- 4 Solid-liquid Phase Change.- 5 Shape Memory Alloys.- 6 Damage.- 7 Contact with Adhesion.- 8 Damage of Solids Glued on One Another. Coupling of Volume and Surface Damages.- 9 Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice.- 10 Phase Change and Collisions.- 11 Collisions of Deformable Bodies and Phase Change.- 12 Phase Change Depending on a State Quantity: Liquid-vapor Phase Change.- 13 Clouds: Mixture of Air, Vapor and Liquid Water.- 14 Conclusion.

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)

Erscheint lt. Verlag	9.2.2012
Reihe/Serie	Lecture Notes of the Unione Matematica Italiana
Zusatzinfo	XIII, 303 p. 66 illus., 36 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	486 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
Schlagworte	35Q35 • 70F35 • 74M15 • 74M20 • 74N25 • 74N25; 74R20; 74M15; 74M20; 80A17; 86A10; 70F35; 76A02; 35Q35 • 74R20 • 76A02 • 80A17 • 86A10 • Adhesion • air pollution and air quality • clouds • damage • phase change • principle of virtual power
ISBN-10	3-642-24608-7 / 3642246087
ISBN-13	978-3-642-24608-1 / 9783642246081
Zustand	Neuware