Lecture Notes of the Unione Matematica Italiana

Phase Change in Mechanics

Authors: Frémond, Michel

  • 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
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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)


Table of contents (14 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-24609-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-24608-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Phase Change in Mechanics
Authors
Series Title
Lecture Notes of the Unione Matematica Italiana
Series Volume
13
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-24609-8
DOI
10.1007/978-3-642-24609-8
Softcover ISBN
978-3-642-24608-1
Series ISSN
1862-9113
Edition Number
1
Number of Pages
XIII, 303
Number of Illustrations and Tables
30 b/w illustrations, 36 illustrations in colour
Topics