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Configurational Forces As Basic Concepts Of Continuum Physics Book

Configurational Forces As Basic Concepts Of Continuum Physics
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  • Configurational Forces As Basic Concepts Of Continuum Physics
  • Written by author Morton E. Gurtin
  • Published by Springer-Verlag New York, LLC, December 1999
  • 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 div
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Authors

1Introduction1
AConfigurational forces within a classical context19
2Kinematics21
3Standard forces. Working25
4Migrating control volumes. Stationary and time-dependent changes in reference configuration29
5Configurational forces34
6Thermodynamics. Relation between bulk tension and energy. Eshelby identity41
7Inertia and kinetic energy. Alternative versions of the second law46
8Change in reference configuration50
9Elastic and thermoelastic materials53
BThe use of configurational forces to characterize coherent phase interfaces61
10Interface kinematics63
11Interface forces. Second law66
12Inertia. Basic equations for the interface74
CAn equivalent formulation of the theory. Infinitesimal deformations81
13Formulation within a classical context83
14Coherent phase interfaces88
DEvolving interfaces neglecting bulk behavior91
15Evolving surfaces93
16Configurational force system. Working101
17Second law108
18Constitutive equations110
19Two-dimensional theory115
ECoherent phase interfaces with interfacial energy and deformation127
20Theory neglecting standard interfacial stress129
21General theory with standard and configurational stress within the interface138
22Two-dimensional theory with standard and configurational stress within the interface149
FSolidification157
23Solidification. The Stefan condition as a consequence of the configurational force balance159
24Solidification with interfacial energy and entropy163
GFracture173
25Cracked bodies175
26Motions182
27Forces. Working184
28The second law190
29Basic results for the crack tip196
30Constitutive theory for growing cracks198
31Kinking and curving of cracks. Maximum dissipation criterion201
32Fracture in three space dimensions (results)208
HTwo-dimensional theory of corners and junctions neglecting inertia211
33Preliminaries. Transport theorems213
34Thermomechanical theory of junctions and corners218
IAppendices on the principle of virtual work for coherent phase interfaces225
A1Weak principle of virtual work227
A2Strong principle of virtual work232
References239
Index247


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