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Configurational Forces as Basic Concepts of Continuum Physics (Applied Mathematical Sciences) (v. 137)
 
 
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Configurational Forces as Basic Concepts of Continuum Physics (Applied Mathematical Sciences) (v. 137) [Hardcover]

Morton E. Gurtin (Author)

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Book Description

December 29, 1999 0387986677 978-0387986678 1

Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.


Editorial Reviews

Review

From the reviews:

SIAM REVIEW

"This important book presents the development, within the framework of continuum mechanics, of the mathematical theory of such accretive forces…The monograph is a clearly and concisely written collection of short chapters…The framework provided by the use of configurational as well as standard forces is convincingly set out in an elegant and unifying manner and is applicable to a variety of significant issues in continuum mechanics. The author has produced a book that is certain to be of great importance to many workers in the mechanics and physics of continua."

MATHEMATICAL REVIEWS

"…the more original contributions in the book devoted to interfaces and solidifications are extremely interesting. They obviously correspond to the specific domain to which the author has powerfully contributed with great ingenuity and talent."


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Inside This Book (learn more)
First Sentence:
The notion of force is central to all of continuum mechanics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
migrating control volume, tip control volume, interfacial dissipation inequality, inertial working, superficial tensor field, crack control volume, standard momentum condition, interface from either side, configurational balance, basic equations for the interface, configurational force balance, internal configurational force, motion velocity following, configurational force systems, normal internal force, configurational stress, virtual kinematics, evolving subsurface, isotropic tip, underlying observer, tangency angles, internal dissipation inequality, bulk tension, dissipation criterion, spatial observer
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Coherent Phase Interfaces, Eshelby Identity, Alternative Versions of the Second Law, Interface Kinematics, Theory Neglecting Standard Interfacial Stress
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