Author | Gurtin, Morton E. author |
---|---|
Title | Configurational Forces as Basic Concepts of Continuum Physics [electronic resource] / by Morton E. Gurtin |
Imprint | New York, NY : Springer New York, 2000 |
Connect to | http://dx.doi.org/10.1007/b97847 |
Descript | XIV, 250 p. online resource |
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