Configurational Forces As Basic Concepts of Continuum Physics {Applied Mathematical Sciences (Springer-Verlag New York Inc.) ; V. 137}
Publisher: Springer-Verlag New York Inc
Published: 2000
Place of publication: Dordrecht
Format: [electronic resource]
Number of pages: 260
ISBN-13: 9780387226569
Subjects: Configuration space; Field theory (Physics)
Description: This is an exploration of the configurational forces within the idealized continuum where fluids or other materials are in a continuous distribution of matter with no empty space, so that molecular structure is ignored, and average pressure, velocity, etc. are considered.
Notes: Description based upon print version of record.
Table of contents: title: Front Matter; Introduction; 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; Interface Kinematics; Interface Forces. Second Law; Inertia. Basic Equations for the Interface; Formulation within a Classical Context; Coherent Phase Interfaces; Evolving Surfaces; title: Configurational Force System. WorkingSecond Law; Constitutive Equations. Evolution Equation for the Interface; Two-Dimensional Theory; 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. The Stefan Condition as a Consequence of the Configurational Force Balance; Solidification with Interfacial Energy and Entropy; Cracked Bodies; Motions; Forces. Working; The Second Law; Basic Results for the Crack Tip; title: Constitutive Theory for Growing CracksKinking and Curving of Cracks. Maximum Dissipation Criterion; Fracture in Three Space Dimensions (Results); Preliminaries. Transport Theorems; Thermomechanical Theory of Junctions and Corners; Back Matter