The Mechanics and Thermodynamics of Continuous Media

ISBN-13: 9783642082047 / Angielski / Miękka / 2010 / 504 str.

Miroslav Silhavy

Opis

This book presents the nonlinear theories of continuum thermomechanics. Through out 1 emphasize issues that are foundational in nature, and seek results common to materials of arbitrary symmetry. The central part of the book deals with thermoelastic bodies with heat conduction and viscosity, including the inviscid or ideal dissipation less bodies. A surprising variety of phenomena can be modeled within this frame work. Moreover, the main ideas can be transferred into more complicated theories. At present, the major challenge to the non linear thermoelasticity is posed by phase transformations with changes in symmetry. 1. W. Gibbs' immensely inftuen tiaI treatise On the equilibrium of heterogeneous substances has provided a highly successful theory of phase transitions in ftuids. Gibbs brought the view that the ther modynamics is not only the theory of heat, but also a theory of equilibrium, with the of the book is an extension of main tool the minimum principles. A large portion Gibbs' ideas to bodies of general symmetry by the methods of the calculus of varia tions. The interplay between the convexity properties of the stored energy functions, the resulting equations, and the physics of the phenomena is a leading theme."

Recenzje

From the reviews
"The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. The author has clearly tried to reduce the mathematical tools to a minimium so as to make the book accessible to readers from the physics community (a more mathematical treatment can be found in his papers). It will be very useful for both mathematicians and physicists." (EMS Newsletter, 1999)

Blurb

This book presents the non-linear theories of continuum thermomechanics. Throughout, the author emphasizes issues that are foundational in nature and seeks results common to materials of arbitrary symmetry. The central part of the book deals with thermoelastic bodies with heat conduction and viscosity, including the inviscid or ideal dissipationless bodies. A surprising variety of phenomena can be modeled within this framework. Moreover, the main ideas can be transferred into more complicated theories of materials with memory or microstructure. A large portion is an extension of Gibbs' ideas to bodies of general symmetry by the methods of the calculus of variations. A progress there is recent. The interplay between the convexity properties of the stored energy functions, the resulting equations, and the physics of the phenomena are leading themes.