UID:
almahu_9947363020202882
Format:
XIV, 250 p.
,
online resource.
ISBN:
9780387226569
Series Statement:
Applied Mathematical Sciences, 137
Content:
For the last decade, the author has been working to extend continuum mechanics to treat moving boundaries in materials focusing, in particular, on problems of metallurgy. This monograph presents a rational treatment of the notion of configurational forces; it is an effort to promote a new viewpoint. 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. The work should be of interest to materials scientists, mechanicians, and mathematicians.
Note:
Configurational Forces within a Classical Context -- Kinematics -- Standard Forces. Working -- Migrating Control Volumes. Stationary and Time-Dependent Changes in Reference Configuration -- Configurational Forces -- Thermodynamics. Relation Between Bulk Tension and Energy. Eshelby Identity -- Inertia and Kinetic Energy. Alternative Versions of the Second Law -- Change in Reference Configuration -- Elastic and Thermoelastic Materials -- The Use of Configurational Forces to Characterize Coherent Phase Interfaces -- Interface Kinematics -- Interface Forces. Second Law -- Inertia. Basic Equations for the Interface -- An Equivalent Formulation of the Theory. Infinitesimal Deformations -- Formulation within a Classical Context -- Coherent Phase Interfaces -- Evolving Interfaces Neglecting Bulk Behavior -- Evolving Surfaces -- Configurational Force System. Working -- Second Law -- Constitutive Equations. Evolution Equation for the Interface -- Two-Dimensional Theory -- Coherent Phase Interfaces wtih Interfacial Energy and Deformation -- Theory Neglecting Standard Interfacial Stress -- General Theory with Standard and Configurational Stress within the Interface -- Two-Dimensional Theory with Standard and Configurational Stress within the Interface -- Solidification -- Solidification. The Stefan Condition as a Consequence of the Configurational Force Balance -- Solidification with Interfacial Energy and Entropy -- Fracture -- Cracked Bodies -- Motions -- Forces. Working -- The Second Law -- Basic Results for the Crack Tip -- Constitutive Theory for Growing Cracks -- Kinking and Curving of Cracks. Maximum Dissipation Criterion -- Fracture in Three Space Dimensions (Results) -- Two-Dimensional Theory of Corners and Junctions Neglecting Inertia -- Preliminaries. Transport Theorems -- Thermomechanical Theory of Junctions and Corners.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9780387986678
Language:
English
URL:
http://dx.doi.org/10.1007/b97847
URL:
Volltext
(lizenzpflichtig)
